Parity paper proposal

Azimuthal Charged-Particle Correlations
and Possible Local Strong Parity Violation

Published in Phys. Rev. Lett. 103, 251601 (2009)

Abstract
Parity-odd domains, corresponding to nontrivial topological solutions of the QCD vacuum,
might be created during relativistic heavy-ion collisions.
These domains are predicted to lead to charge separation of quarks along the system’s orbital momentum axis.
We investigate a three-particle azimuthal correlator which is a P even observable,
but directly sensitive to the charge separation effect.
We report measurements of charged hadrons near center-of-mass rapidity
with this observable in Au+Au and Cu+Cu collisions at √sNN=200  GeV using the STAR detector.
A signal consistent with several expectations from the theory is detected.
We discuss possible contributions from other effects that are not related to parity violation.


Observation of charge-dependent azimuthal correlations
and possible local strong parity violation in heavy-ion collision

Published in Phys. Rev. C 81, 054908 (2010)

Abstract
Parity (P)-odd domains, corresponding to nontrivial topological solutions of the QCD vacuum,
might be created during relativistic heavy-ion collisions.
These domains are predicted to lead to charge separation of quarks
along the orbital momentum of the system created in noncentral collisions.
To study this effect, we investigate a three-particle mixed-harmonics azimuthal correlator
which is a P-even observable, but directly sensitive to the charge-separation effect.
We report measurements of this observable using the STAR detector in Au+Au and Cu+Cu collisions at √sNN=200 and 62 GeV.
The results are presented as a function of collision centrality,
particle separation in rapidity, and particle transverse momentum.
A signal consistent with several of the theoretical expectations is detected in all four data sets.
We compare our results to the predictions of existing event generators and
discuss in detail possible contributions from other effects that are not related to P violation.


Data & figures


Principal authors

  • Wayne State: Sergei Voloshin
  • Indiana: Ilya Selyuzhenkov
  • BNL: Vasily Dzordzhadze, Ron Longacre, Yannis Semertzidis, Paul Sorensen
  • UCLA: Gang Wang, Dhevan Gangadharan
  • Yale: Jack Sandweiss, Evan Finch, Alexey Chikanian, Richard Majka
  • LBNL: Jim Thomas
  • MEPhI: Vitaly Okorokov

GPC members

  • Carl Gagliardi, Chair
  • Ernst Sichtermann, Member
  • Peter Seyboth, Member
  • Mike Lisa, PWG representative
  • Spencer Klein, English/Grammar QA
  • Jin-Hui Chen, Analysis Code QA
  • Sergei Voloshin, PA Representative
  • Jack Sandweiss, PA Representative

Collaboration Comments

GPC Comments


Support document


PRC paper draft version history

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PRL paper draft version history

Source files: LaTeX and macros
Previous versions:
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PRC data

Data points and figures for the paper titled:
"Observation of charge-dependent azimuthal correlations and
possible local strong parity violation in heavy ion collisions
"

Figure 1: png, eps

Figure 2a: macro, png, eps

cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF)
RefMult a+,b+,c- stat err a-,b-,c- stat err a-,b-,c+ stat err a+,b+,c+ stat err a+,b-,c- stat err a+,b-,c+ stat err
15 -0.00232407 0.000829793 0.000119327 0.00138676 -0.000155248 0.000836209 0.000377743 0.00134908 0.00231604 0.000591495 0.00114578 0.000585172
45 -0.00220487 0.000277435 -0.00154608 0.000300603 -0.00166599 0.000281433 -0.0014893 0.000290075 0.00020804 0.000198749 0.000580582 0.000196687
75 -0.00224734 0.000235853 -0.00207896 0.000248034 -0.00228668 0.000241471 -0.00231991 0.000239425 0.00036892 0.000170228 0.000448703 0.000168455
105 -0.00289638 0.000226039 -0.00233147 0.000236072 -0.00241574 0.000230331 -0.0026543 0.000227916 0.000387332 0.000163583 0.000249001 0.000161912
135 -0.00262571 0.000222697 -0.00235069 0.000230554 -0.00296293 0.000226604 -0.00291115 0.000223666 0.000210685 0.000160256 6.98659e-05 0.00015921
165 -0.00279487 0.000218518 -0.00256624 0.000226913 -0.00262333 0.000224352 -0.00291613 0.000220794 -0.000146566 0.000159207 9.08978e-05 0.000158999
195 -0.00295961 0.000219526 -0.00246627 0.000226296 -0.00275933 0.000224655 -0.0028007 0.000219746 1.59922e-05 0.000158547 8.94614e-05 0.000159038
225 -0.00260667 0.000214571 -0.00231615 0.000223414 -0.00217615 0.000219907 -0.00258728 0.000215569 -0.000133701 0.000157142 -3.46813e-06 0.000156503
255 -0.00192389 0.000215148 -0.00231561 0.000219962 -0.00208204 0.000219112 -0.00221258 0.000212905 0.000163299 0.000154749 0.000284978 0.000154216
285 -0.00219529 0.000208311 -0.00166138 0.000216016 -0.00199152 0.000213699 -0.00186841 0.000207701 -6.27691e-05 0.000152382 1.29396e-05 0.000150959
315 -0.00270664 0.000205232 -0.00209181 0.000212923 -0.00192307 0.000210769 -0.0021717 0.000204519 -0.000295788 0.000149399 -0.000228133 0.000148715
345 -0.00180793 0.000199707 -0.0015465 0.000206451 -0.00106008 0.000205592 -0.00122987 0.00019939 -0.000131745 0.000145381 0.000203784 0.000146057
375 -0.00168947 0.000198789 -0.00153055 0.000205673 -0.0011612 0.000202903 -0.00167602 0.000197431 -0.000356638 0.000146453 -7.43794e-05 0.000144508
405 -0.00143713 0.000191464 -0.00121617 0.000197463 -0.000904646 0.000195544 -0.00141614 0.000190911 -0.000269779 0.000140161 4.65348e-05 0.00013893
435 -0.00108155 0.000188747 -0.00106764 0.000195579 -0.000813369 0.000192186 -0.0010527 0.000186647 -0.000391462 0.00013766 -0.000194741 0.00013675
465 -0.000745431 0.000182591 -0.000465976 0.000190779 -0.000162135 0.000189958 -0.000753386 0.000182575 -8.77953e-05 0.000134289 0.000120421 0.00013325
495 -0.000725871 0.000179685 -0.000680639 0.000186129 -0.000581522 0.000182518 -0.000663292 0.000176886 -0.000319672 0.000130575 5.32e-05 0.000128714
525 -0.000798782 0.000177661 -0.000672209 0.00018295 -0.000177874 0.000182432 -0.000499309 0.000175048 -0.000486717 0.00012978 -0.00021756 0.000129396
555 -0.000812354 0.000178516 -0.000743912 0.000185105 0.000146604 0.000181387 -0.000798392 0.000177413 -0.000344484 0.000130837 -5.04185e-07 0.000128817
585 -0.000538112 0.000193801 -0.00034451 0.000201309 0.000328942 0.000199141 -0.000354971 0.000191926 -0.000362969 0.000142144 3.15027e-05 0.000140287
615 -0.000615069 0.000246748 -0.000835844 0.000255874 6.13817e-05 0.000256199 -0.000508298 0.000245614 -0.00064337 0.00018173 -9.52957e-05 0.000180022
645 -0.000836006 0.000395658 -0.000938061 0.000412778 0.000594157 0.000405245 -0.000828964 0.000395171 -0.00061075 0.000295881 -0.000105171 0.000289835
675 -0.000507544 0.000915657 -0.00212875 0.000995109 -0.00113305 0.000952714 0.000193596 0.000840556 -0.0015933 0.000670818 -0.000423606 0.000637297

Figure 2b: macro, png, eps

cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF)
RefMult a+,b+,c- stat err a-,b-,c- stat err a-,b-,c+ stat err a+,b+,c+ stat err a+,b-,c- stat err a+,b-,c+ stat err
15 -0.00119735 0.000782732 0.00141434 0.00130906 -0.00176007 0.000790662 0.000310067 0.00127807 0.00126299 0.000557027 0.0015828 0.00055348
45 -0.0018582 0.000261521 -0.00107675 0.000283461 -0.00145127 0.000265101 -0.00158609 0.000273429 0.000530898 0.000187481 0.000905114 0.000185466
75 -0.00266332 0.00022381 -0.00245264 0.000234264 -0.00288736 0.000226644 -0.00226594 0.000226426 0.000207821 0.000160527 0.000401931 0.000159358
105 -0.00307452 0.000214363 -0.00259794 0.000221475 -0.00254143 0.000216506 -0.00284109 0.000214977 0.000120955 0.000153917 -7.68965e-05 0.000152917
135 -0.00266785 0.000209746 -0.0029161 0.00021775 -0.00278005 0.000213925 -0.00251862 0.000209804 0.000311951 0.000151608 0.000345262 0.000149951
165 -0.00240619 0.000208276 -0.00248683 0.00021448 -0.00253635 0.000212185 -0.00253094 0.000208382 0.000179285 0.00015089 0.000178993 0.000149726
195 -0.00288223 0.000206074 -0.00257086 0.000211281 -0.00291019 0.000209375 -0.00280884 0.000205487 -0.000196658 0.000148795 -9.38108e-06 0.00014791
225 -0.00202028 0.000202762 -0.00272478 0.000209651 -0.0027715 0.000207847 -0.00257345 0.000202847 3.09283e-05 0.00014773 -5.2055e-06 0.000146131
255 -0.0021495 0.000201407 -0.00237099 0.000205874 -0.0022738 0.000205139 -0.00218616 0.000200559 0.000110512 0.000145917 -4.72896e-05 0.000145991
285 -0.00209165 0.000196196 -0.00190663 0.000202658 -0.00185677 0.000200848 -0.00203046 0.000196446 -6.56069e-05 0.000142769 -3.25727e-05 0.00014249
315 -0.00205665 0.000194764 -0.00196416 0.000199537 -0.00180705 0.000198055 -0.00193224 0.000196714 -1.34144e-05 0.000141358 5.5005e-05 0.000141089
345 -0.00158329 0.000190464 -0.00173496 0.000194188 -0.00152631 0.000192842 -0.00125894 0.00019119 -0.000199262 0.000137769 -2.91883e-06 0.000137282
375 -0.00138797 0.000186862 -0.00142499 0.000190709 -0.00145592 0.000191195 -0.001454 0.00018594 6.99359e-05 0.000135781 4.68298e-05 0.000135455
405 -0.000723951 0.000181713 -0.00100372 0.000185086 -0.00131307 0.000183369 -0.000940146 0.000180194 -7.51175e-06 0.000131871 -0.000139492 0.000131496
435 -0.000766659 0.000178159 -0.00105217 0.000180895 -0.00113949 0.000178557 -0.00136478 0.000176904 -6.56264e-05 0.000129327 -0.000363394 0.000127815
465 -0.000500216 0.000174094 -0.000538272 0.000177052 -0.00103208 0.000175118 -0.00112507 0.000173217 0.000155409 0.000127064 -0.000304409 0.000125367
495 -0.000257138 0.000173719 -0.000884924 0.000173404 -0.000674623 0.000172236 -0.00075774 0.000173421 0.000115562 0.000125306 -0.000285744 0.000124288
525 0.000282244 0.000170412 -0.000657846 0.000170241 -0.000822593 0.000168472 -0.0006236 0.000169028 -3.3225e-05 0.000122343 -0.000391094 0.000121394
555 0.000304678 0.00017222 -0.000187598 0.000172656 -0.000344014 0.000171608 -0.000933102 0.000172892 6.51062e-05 0.000124103 -0.000474486 0.000124162
585 0.000391631 0.00018731 -6.40869e-05 0.000187354 -0.000245166 0.000184335 -0.000729846 0.000186198 5.64022e-05 0.000134461 -0.000417892 0.000134246
615 0.000453731 0.000237114 -0.000511197 0.000236937 -0.000434279 0.00023581 -0.000488006 0.000239164 -0.000138194 0.000172102 -0.000487355 0.000170899
645 0.00048092 0.000389158 -0.000781413 0.000386339 -0.000576723 0.000384747 -0.000666297 0.000382087 -0.000148727 0.000279319 -0.00107329 0.000278086
675 7.2823e-05 0.000827774 -0.00260246 0.00087763 -0.00179739 0.000899376 -6.50901e-05 0.00086316 -0.000651071 0.000623772 -0.00149888 0.000614766

Figure 3a: macro, png, eps

cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF)
RefMult a+,b+,c- stat err a-,b-,c- stat err a-,b-,c+ stat err a+,b+,c+ stat err a+,b-,c- stat err a+,b-,c+ stat err
15 -0.00172275 0.00080013 0.00165907 0.00131368 0.000623248 0.000805069 0.00101825 0.00128021 0.0020568 0.000572078 0.00143423 0.000565018
45 -0.00184205 0.000253366 -0.00137248 0.000271211 -0.00167964 0.000255719 -0.00131341 0.000262315 0.00047535 0.000181264 0.000593759 0.000179433
75 -0.0017237 0.000214724 -0.00172083 0.00022594 -0.00193095 0.000220501 -0.00184999 0.000217018 0.000503599 0.00015536 0.000695341 0.000153855
105 -0.00249692 0.000205677 -0.002206 0.000214344 -0.00215758 0.000209913 -0.00243708 0.000207611 0.000348464 0.000149361 0.000342232 0.000147678
135 -0.00234744 0.000202329 -0.00242401 0.000208794 -0.00263676 0.000205644 -0.00251081 0.000202884 0.000184445 0.000146182 6.77287e-05 0.000144767
165 -0.00259411 0.000198651 -0.00256004 0.000204897 -0.00258988 0.000203046 -0.00267324 0.000199282 -0.000216846 0.000144054 3.1985e-05 0.000143738
195 -0.00275157 0.000197799 -0.00238245 0.000203841 -0.00255781 0.000202404 -0.00257858 0.00019854 1.98542e-05 0.000143713 5.57649e-05 0.000143816
225 -0.00255286 0.000193256 -0.00219806 0.000200109 -0.00212405 0.000197985 -0.0025023 0.000193377 -0.000153767 0.000141089 -6.39296e-05 0.000140523
255 -0.00191495 0.000192857 -0.00211454 0.00019637 -0.00203684 0.000194866 -0.00207722 0.00018994 0.000260384 0.000138183 0.00031108 0.000137686
285 -0.0019354 0.000184943 -0.00156566 0.000193205 -0.00168024 0.000190711 -0.00181743 0.000184572 -4.06885e-05 0.000135843 -6.29732e-05 0.000134728
315 -0.00232949 0.000181081 -0.00197387 0.000186944 -0.00192706 0.000184839 -0.0020693 0.000179979 -0.000316019 0.000132067 -0.000196438 0.000130973
345 -0.00162844 0.000174959 -0.00151572 0.000180517 -0.00109926 0.000179934 -0.00111012 0.000175306 -0.000137866 0.000128057 9.17983e-05 0.000127926
375 -0.00142334 0.000172901 -0.00160589 0.000177349 -0.00137596 0.000174989 -0.00147865 0.000171104 -0.000217888 0.00012668 -0.000194052 0.000125739
405 -0.00122003 0.000164159 -0.00125859 0.000168965 -0.00108917 0.000166651 -0.00120248 0.000163803 -0.000165251 0.000119772 -3.53924e-05 0.000118757
435 -0.000999969 0.000160169 -0.00105981 0.000165419 -0.00100698 0.000163364 -0.00088948 0.000157516 -0.000369654 0.000116865 -0.000169475 0.000115996
465 -0.000731868 0.000152685 -0.000522984 0.000159238 -0.000384282 0.000158023 -0.000650514 0.000152166 -1.79267e-05 0.000112672 -3.74745e-05 0.000111044
495 -0.000692461 0.000147495 -0.000498443 0.000152654 -0.00046779 0.000148815 -0.000659678 0.000146515 -0.000138287 0.000107551 8.08487e-06 0.000105915
525 -0.000739136 0.000142542 -0.00082652 0.000149037 -0.000758062 0.000147502 -0.000509381 0.000142102 -0.000316743 0.000105259 -0.000413837 0.000104866
555 -0.000636739 0.000141059 -0.00049867 0.000146224 -0.000193691 0.000143602 -0.000599764 0.000139508 -6.71995e-05 0.000103376 -5.38327e-05 0.000101604
585 -0.000293866 0.000152146 -0.000116871 0.000155705 -0.000125367 0.000153155 -0.000158577 0.000149401 7.30972e-05 0.000111202 -3.06928e-05 0.000109161
615 -0.000531198 0.000190419 -0.000132553 0.000195378 -9.22203e-05 0.00019175 -8.14068e-05 0.000187112 -0.000117715 0.000138276 -2.34579e-05 0.000137477
645 -0.000562601 0.000304131 -0.000603966 0.000311056 -0.000124474 0.000307131 -0.000472886 0.000295348 -8.88681e-05 0.000222064 -8.7338e-05 0.000219847
675 0.000284921 0.000671082 -0.00048365 0.000740911 -0.000763021 0.000695172 0.000479815 0.000637069 -0.000553213 0.000498871 -0.000215109 0.000465702

Figure 3b: macro, png, eps

cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF)
RefMult a+,b+,c- stat err a-,b-,c- stat err a-,b-,c+ stat err a+,b+,c+ stat err a+,b-,c- stat err a+,b-,c+ stat err
15 -0.00118288 0.000755492 0.00274672 0.00124016 -0.000884598 0.000764089 0.00178695 0.00121319 0.00160047 0.000540179 0.00152158 0.000537114
45 -0.00163536 0.000238416 -0.000880577 0.000256172 -0.00116532 0.000241473 -0.00123104 0.000247839 0.000771328 0.00017099 0.00101416 0.000169477
75 -0.00230374 0.000203753 -0.00197382 0.000213289 -0.00244431 0.000206742 -0.0019197 0.000205936 0.000274842 0.000146817 0.000526298 0.000145411
105 -0.00274132 0.000195059 -0.00233448 0.000201449 -0.00217374 0.000197538 -0.00240529 0.000195354 0.00018413 0.000140308 0.000149645 0.000139566
135 -0.00235453 0.000190212 -0.00266574 0.000197239 -0.00266811 0.000194276 -0.00216806 0.000190129 0.000163381 0.000137552 0.000352872 0.000136433
165 -0.0022777 0.000188946 -0.00230513 0.0001945 -0.00233791 0.000192771 -0.00230662 0.000188625 0.00031497 0.0001368 0.000200835 0.000136325
195 -0.00258776 0.000185729 -0.00235919 0.000190521 -0.00253062 0.000189622 -0.00266492 0.000185225 -0.000175253 0.000134631 -2.07776e-05 0.000134228
225 -0.00210831 0.000182691 -0.00269069 0.000188609 -0.00253593 0.000186594 -0.00239405 0.000182461 -9.23975e-05 0.000133059 5.45061e-06 0.000131511
255 -0.00220433 0.000179216 -0.00229314 0.000183813 -0.00189769 0.000182315 -0.0021816 0.000178635 8.62471e-05 0.000131135 -3.98901e-05 0.00013006
285 -0.00200888 0.000173383 -0.00178068 0.000180191 -0.00178207 0.00017847 -0.0021439 0.000173574 8.59283e-06 0.000126951 -6.65482e-06 0.000126458
315 -0.00214803 0.000171576 -0.00180103 0.000175843 -0.0016704 0.00017495 -0.00184886 0.000171578 -0.000293117 0.000124775 -3.07117e-05 0.000124491
345 -0.00150578 0.00016581 -0.00155606 0.000169969 -0.00149854 0.000168561 -0.00138956 0.000166453 -0.000305176 0.00012111 -3.74732e-05 0.000120748
375 -0.00138984 0.000160639 -0.00144675 0.000165994 -0.00134193 0.000165593 -0.00127677 0.000160941 -8.14137e-05 0.000117861 7.185e-05 0.000117081
405 -0.00106732 0.000155193 -0.000853155 0.000160479 -0.00132125 0.00015863 -0.00117253 0.000154124 -0.000169148 0.00011341 -0.000198113 0.000113296
435 -0.00096973 0.00015061 -0.00110841 0.00015356 -0.000978545 0.000152016 -0.00124619 0.00014854 -0.000205668 0.00010943 -0.000169186 0.000108129
465 -0.000865632 0.000144477 -0.000773993 0.000147544 -0.00075589 0.00014658 -0.000988087 0.000144413 -0.000156505 0.000105476 -8.25905e-05 0.000105574
495 -0.000629378 0.000141127 -0.000623762 0.000143276 -0.000515873 0.000141474 -0.000632128 0.000139918 6.58854e-05 0.000102925 0.000142795 0.000101104
525 -0.000381192 0.000137028 -0.000485868 0.000138853 -0.000488811 0.000137325 -0.000378744 0.000136093 -0.000178399 9.94419e-05 -0.000108842 9.83105e-05
555 -0.000316557 0.000134775 -0.000111786 0.000137465 7.7615e-07 0.000136395 -0.000426477 0.000136284 -9.9829e-05 9.84663e-05 -8.30525e-05 9.82943e-05
585 -0.000350289 0.000143513 0.000182359 0.000146112 -9.86412e-05 0.000144097 -0.000557966 0.000142452 -0.00011028 0.000104773 5.28255e-06 0.00010358
615 -0.000153503 0.000178495 -0.000316752 0.000182944 -8.82474e-05 0.000180418 -0.000122322 0.000179179 -0.000180061 0.000131985 -3.1576e-06 0.000131158
645 3.13415e-05 0.000289844 -0.000175759 0.00029405 -0.000132801 0.000293864 -0.000385774 0.000285481 -0.000105264 0.000210399 -0.000282981 0.0002095
675 -0.000961933 0.00061171 -0.00160522 0.000654816 -0.0014611 0.000676154 -0.000172568 0.000632494 -0.000732413 0.000461202 -0.000217323 0.000455566

Figure 4: macro, png, eps

cos(a-b) (Au+Au@200GeV)
centrality a+,b+,RFF stat err a+,b+,FF stat err a+,b+,RFF,rec stat err a+,b+,FF,rec stat err
0-5% -8.86702e-05 3.1494e-06 -2.05859e-05 3.04804e-06 -0.000168495 3.03309e-06 -0.000162705 2.85059e-06
5-10% -0.000119788 3.81749e-06 -7.18677e-05 3.66278e-06 -0.000181148 3.72233e-06 -0.000184491 3.50367e-06
10-20% -0.000155573 3.63068e-06 -0.000113014 3.45109e-06 -0.000201882 3.57819e-06 -0.000201566 3.35781e-06
20-30% -0.000194188 4.78392e-06 -0.000156577 4.53122e-06 -0.00022986 4.74422e-06 -0.00022444 4.46332e-06
30-40% -0.000225746 7.13899e-06 -0.000205466 6.73095e-06 -0.000256026 7.10758e-06 -0.000262823 6.67312e-06
40-50% -0.000307407 1.10278e-05 -0.000280297 1.03934e-05 -0.000335015 1.1001e-05 -0.000328381 1.03454e-05
50-60% -0.00037732 1.8344e-05 -0.000316498 1.73495e-05 -0.000403243 1.83161e-05 -0.000364104 1.72965e-05
60-70% -0.000412856 3.4088e-05 -0.000395875 3.21498e-05 -0.000444464 3.4053e-05 -0.000444511 3.21068e-05
70-80% -0.000395405 7.49043e-05 -0.000502187 7.06954e-05 -0.000443282 7.48502e-05 -0.000558773 7.06495e-05
centrality a-,b-,RFF stat err a-,b-,FF stat err a-,b-,RFF,rec stat err a-,b-,FF,rec stat err
0-5% -4.23982e-05 3.27251e-06 -7.23853e-05 3.04403e-06 -0.000164846 3.09367e-06 -0.000172573 2.90564e-06
5-10% -9.02915e-05 3.95928e-06 -0.000113398 3.69743e-06 -0.000186024 3.81234e-06 -0.00018816 3.58831e-06
10-20% -0.00013322 3.73725e-06 -0.000150212 3.50427e-06 -0.000207119 3.6521e-06 -0.00020764 3.44415e-06
20-30% -0.000169834 4.94047e-06 -0.000183032 4.6365e-06 -0.000226467 4.88231e-06 -0.000224549 4.59557e-06
30-40% -0.000223553 7.33453e-06 -0.000218098 6.90505e-06 -0.000270787 7.28437e-06 -0.000250925 6.87058e-06
40-50% -0.000281438 1.1311e-05 -0.00026869 1.06921e-05 -0.00032191 1.1268e-05 -0.000296577 1.06634e-05
50-60% -0.00031226 1.88279e-05 -0.000306347 1.77804e-05 -0.000350455 1.87885e-05 -0.000332508 1.77539e-05
60-70% -0.000367064 3.50004e-05 -0.00035379 3.30926e-05 -0.000410268 3.49581e-05 -0.000381376 3.3064e-05
70-80% -0.000293759 7.70607e-05 -0.000326476 7.28294e-05 -0.000352523 7.69997e-05 -0.000366779 7.27886e-05
centrality a+,b-,RFF stat err a+,b-,FF stat err a+,b-,RFF,rec stat err a+,b-,FF,rec stat err
0-5% 0.000424939 2.31175e-06 0.000443238 2.19887e-06 0.000346869 2.19632e-06 0.000345933 2.06688e-06
5-10% 0.000489124 2.7938e-06 0.000502678 2.65378e-06 0.000427985 2.69959e-06 0.000426757 2.5451e-06
10-20% 0.000589106 2.64708e-06 0.000606978 2.49965e-06 0.000540889 2.59415e-06 0.000546398 2.43789e-06
20-30% 0.000783002 3.48093e-06 0.000790412 3.28528e-06 0.000745594 3.44144e-06 0.000743832 3.24192e-06
30-40% 0.00105431 5.16729e-06 0.00106415 4.86426e-06 0.00102257 5.13271e-06 0.00102597 4.82798e-06
40-50% 0.0014258 7.90983e-06 0.00143299 7.47055e-06 0.00139831 7.88178e-06 0.00140117 7.43894e-06
50-60% 0.0019712 1.30566e-05 0.00198369 1.22975e-05 0.00194755 1.30298e-05 0.00195394 1.22702e-05
60-70% 0.0027773 2.39013e-05 0.00276417 2.25773e-05 0.00275386 2.387e-05 0.0027375 2.25468e-05
70-80% 0.00367447 5.03999e-05 0.0036616 4.75247e-05 0.00365069 5.03587e-05 0.00363606 4.74887e-05

Figure 5a: macro, png, eps

cos(a+b-2c), Au+Au@200GeV
centrality a+,b+,c:TPC stat err a+,b-,c:TPC stat err a+,b+,c:FTPC stat err a+,b-,c:FTPC stat err
0-5% -5.96721e-07 5.5117e-08 -2.55699e-07 5.5855e-08 -6.41226e-07 1.81669e-07 2.5831e-08 1.84138e-07
5-10% -1.64821e-06 8.10821e-08 -2.81993e-07 8.21354e-08 -1.13344e-06 2.21699e-07 -2.86037e-07 2.25777e-07
10-20% -4.09157e-06 9.52417e-08 -3.84498e-07 9.65213e-08 -2.60373e-06 2.18703e-07 -4.76965e-07 2.22735e-07
20-30% -8.60045e-06 1.54341e-07 -3.58936e-07 1.56032e-07 -5.79343e-06 3.10131e-07 -6.92628e-07 3.15673e-07
30-40% -1.49098e-05 2.71298e-07 -2.32776e-07 2.7367e-07 -9.55976e-06 4.98736e-07 -1.70223e-06 5.03745e-07
40-50% -2.27881e-05 4.88193e-07 1.25892e-06 4.88311e-07 -1.41551e-05 8.54669e-07 -3.76008e-07 8.54506e-07
50-60% -3.21049e-05 9.74197e-07 4.20594e-06 9.66534e-07 -2.08122e-05 1.65346e-06 3.58043e-07 1.64207e-06
60-70% -3.54594e-05 2.33159e-06 1.36972e-05 2.26937e-06 -1.64447e-05 3.84159e-06 6.90105e-06 3.75026e-06
70-80% -4.33681e-05 7.88093e-06 5.24459e-05 7.18626e-06 -2.70608e-05 1.23561e-05 2.88167e-05 1.15359e-05

Figure 5b: macro, png, eps

cos(a+b-2c)/v2c, Au+Au@200GeV
centrality a+,b+,c:TPC stat err a+,b-,c:TPC stat err a+,b+,c:FTPC stat err a+,b-,c:FTPC stat err
0-5% -2.72475e-05 2.51676e-06 -1.16758e-05 2.55046e-06 -6.41226e-05 1.81669e-05 2.5831e-06 1.84138e-05
5-10% -4.84767e-05 2.38477e-06 -8.2939e-06 2.41575e-06 -6.99655e-05 1.36851e-05 -1.76566e-05 1.39369e-05
10-20% -8.43622e-05 1.96375e-06 -7.9278e-06 1.99013e-06 -9.97598e-05 8.37942e-06 -1.82745e-05 8.53391e-06
20-30% -0.000139391 2.50148e-06 -5.81744e-06 2.52889e-06 -0.000163195 8.73608e-06 -1.95107e-05 8.89221e-06
30-40% -0.000212998 3.87569e-06 -3.32537e-06 3.90957e-06 -0.000232033 1.21052e-05 -4.13161e-05 1.22268e-05
40-50% -0.000310464 6.65112e-06 1.71515e-05 6.65273e-06 -0.000330728 1.99689e-05 -8.78524e-06 1.99651e-05
50-60% -0.000449019 1.36251e-05 5.88244e-05 1.3518e-05 -0.000503926 4.00354e-05 8.66932e-06 3.97595e-05
60-70% -0.000531625 3.49563e-05 0.000205355 3.40235e-05 -0.00046985 0.00010976 0.000197173 0.00010715
70-80% -0.000791388 0.000143813 0.000957043 0.000131136 -0.000800617 0.000365565 0.000852566 0.0003413

Figure 6: macro, png, eps

cos(a+b-2*psi_RP), @200GeV
centrality a+,b+,Au+Au stat err a+,b-,Au+Au stat err a+,b+,Cu+Cu stat err a+,b-,Cu+Cu stat err
0-5% -2.72475e-05 2.51676e-06 -1.16758e-05 2.55046e-06 -8.23628e-05 7.62553e-06 1.92707e-05 7.68691e-06
5-10% -4.84767e-05 2.38477e-06 -8.2939e-06 2.41575e-06 -0.000120783 8.77766e-06 2.76513e-05 8.82822e-06
10-20% -8.43622e-05 1.96375e-06 -7.9278e-06 1.99013e-06 -0.000170984 7.82902e-06 4.28017e-05 7.84248e-06
20-30% -0.000139391 2.50148e-06 -5.81744e-06 2.52889e-06 -0.000268721 1.08416e-05 9.16021e-05 1.08158e-05
30-40% -0.000212998 3.87569e-06 -3.32537e-06 3.90957e-06 -0.000360827 1.69498e-05 0.000133615 1.676e-05
40-50% -0.000310464 6.65112e-06 1.71515e-05 6.65273e-06 -0.000493512 2.87805e-05 0.00025283 2.82131e-05
50-60% -0.000449019 1.36251e-05 5.88244e-05 1.3518e-05 -0.000666972 5.33616e-05 0.000513905 5.13577e-05
60-70% -0.000531625 3.49563e-05 0.000205355 3.40235e-05        

Figure 7: macro, png, eps

cos(a+b-2*psi_RP), @62GeV
centrality a+,b+,Au+Au stat err a+,b-,Au+Au stat err a+,b+,Cu+Cu stat err a+,b-,Cu+Cu stat err
0-5% -4.23757e-05 9.80556e-06 -9.85927e-06 9.8707e-06 -0.000137923 1.99364e-05 -1.35041e-05 1.9788e-05
5-10% -7.40968e-05 1.3952e-05 -3.4003e-05 1.39647e-05 -0.000133313 2.11755e-05 4.62115e-05 2.09978e-05
10-20% -7.77459e-05 1.37515e-05 1.07891e-06 1.38198e-05 -0.000247374 2.00311e-05 6.3563e-05 1.97561e-05
20-30% -9.68171e-05 2.2324e-05 2.01104e-05 2.23629e-05 -0.000369201 2.80701e-05 4.95976e-05 2.75378e-05
30-40% -0.000265189 3.48369e-05 3.79756e-05 3.4502e-05 -0.000561217 4.33221e-05 8.12112e-05 4.2098e-05
40-50% -0.000293362 5.90266e-05 6.35767e-05 5.87266e-05 -0.000648074 8.48062e-05 0.000255673 8.08942e-05
50-60% -0.000699764 0.000112699 0.000119304 0.000109258 -0.000846257 0.000139251 0.000556567 0.000128056
60-70% -0.000612442 0.000169688 0.000259486 0.00015952        

Figure 8a: macro, png, eps

cos(a+b-2*psi_RP)*Npart @200GeV
centrality a+,b+,Au+Au stat err a+,b-,Au+Au stat err a+,b+,Cu+Cu stat err a+,b-,Cu+Cu stat err
0-5% -0.00959114 0.0008859 -0.00410986 0.000897761 -0.00905991 0.000838808 0.00211978 0.000845561
5-10% -0.0144461 0.000710661 -0.00247158 0.000719892 -0.0108705 0.000789989 0.00248861 0.00079454
10-20% -0.0197408 0.000459516 -0.00185511 0.00046569 -0.0126528 0.000579348 0.00316732 0.000580344
20-30% -0.023139 0.000415246 -0.000965695 0.000419796 -0.0145109 0.000585448 0.00494651 0.000584054
30-40% -0.0244947 0.000445705 -0.000382417 0.000449601 -0.0137114 0.000644092 0.00507738 0.00063688
40-50% -0.0235953 0.000505486 0.00130351 0.000505608 -0.0128313 0.000748294 0.00657358 0.000733541
50-60% -0.0206549 0.000626756 0.00270592 0.000621826 -0.0113385 0.000907147 0.00873639 0.000873081
60-70% -0.0138223 0.000908865 0.00533923 0.000884612        

Figure 8b: macro, png, eps

cos(a+b-2*psi_RP)*Npart @200GeV
Npart a+,b+,Au+Au stat err a+,b-,Au+Au stat err
352 -0.00959114 0.0008859 -0.00410986 0.000897761
298 -0.0144461 0.000710661 -0.00247158 0.000719892
234 -0.0197408 0.000459516 -0.00185511 0.00046569
166 -0.023139 0.000415246 -0.000965695 0.000419796
115 -0.0244947 0.000445705 -0.000382417 0.000449601
76 -0.0235953 0.000505486 0.00130351 0.000505608
46 -0.0206549 0.000626756 0.00270592 0.000621826
26 -0.0138223 0.000908865 0.00533923 0.000884612
Npart a+,b+,Cu+Cu stat err a+,b-,Cu+Cu stat err
111 -0.00905991 0.000838808 0.00211978 0.000845561
91 -0.0108705 0.000789989 0.00248861 0.00079454
75 -0.0126528 0.000579348 0.00316732 0.000580344
55 -0.0145109 0.000585448 0.00494651 0.000584054
39 -0.0137114 0.000644092 0.00507738 0.00063688
27 -0.0128313 0.000748294 0.00657358 0.000733541
18 -0.0113385 0.000907147 0.00873639 0.000873081

Figure 9a: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50%
dEta a+,b+ stat err a+,b- stat err
0.1 -0.000368532 1.93889e-05 4.14406e-05 1.78412e-05
0.2 -0.000389154 1.98726e-05 -8.5758e-06 1.82828e-05
0.3 -0.000347259 2.04233e-05 -2.17184e-05 1.87871e-05
0.4 -0.000337929 2.10514e-05 -3.7387e-05 1.93519e-05
0.5 -0.000320795 2.17202e-05 -4.56147e-05 1.99689e-05
0.6 -0.000253858 2.25244e-05 -4.63337e-05 2.0705e-05
0.7 -0.000243289 2.34104e-05 -4.90444e-05 2.15174e-05
0.8 -0.000194821 2.44235e-05 -2.26662e-05 2.24388e-05
0.9 -0.000128307 2.55614e-05 9.82823e-06 2.34838e-05
1 -0.000139665 2.68826e-05 3.76055e-07 2.46838e-05
1.1 -0.000157202 2.84018e-05 -3.94043e-05 2.60877e-05
1.2 -9.82126e-05 3.02467e-05 -3.87571e-05 2.7755e-05
1.3 -0.00013351 3.24966e-05 -1.094e-05 2.98324e-05
1.4 -5.1006e-05 3.53599e-05 5.02523e-05 3.24443e-05
1.5 -8.56355e-05 3.91444e-05 -4.80189e-05 3.5939e-05
1.6 -7.14253e-06 4.41665e-05 6.23234e-05 4.05038e-05
1.7 -2.42515e-05 5.16733e-05 2.97413e-05 4.74294e-05
1.8 2.20165e-05 6.47772e-05 4.78176e-05 5.94367e-05
1.9 -3.14312e-05 9.57274e-05 0.000111678 8.77715e-05

Figure 9b: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30%
dEta a+,b+ stat err a+,b- stat err
0.1 -0.000178186 7.71192e-06 9.75064e-07 7.05102e-06
0.2 -0.000181655 7.90414e-06 -2.75075e-05 7.22116e-06
0.3 -0.000158958 8.13093e-06 -2.05733e-05 7.43131e-06
0.4 -0.000149535 8.38016e-06 -1.5047e-05 7.65864e-06
0.5 -0.000120495 8.65929e-06 -2.38375e-05 7.91356e-06
0.6 -8.84987e-05 8.97813e-06 -1.28945e-05 8.2034e-06
0.7 -0.000100496 9.33385e-06 -1.49752e-05 8.52651e-06
0.8 -7.0445e-05 9.73617e-06 -1.47741e-05 8.89398e-06
0.9 -6.66536e-05 1.01883e-05 -1.02612e-05 9.30513e-06
1 -4.44654e-05 1.07066e-05 -8.59089e-06 9.7772e-06
1.1 -4.15335e-05 1.13052e-05 -1.29453e-05 1.03253e-05
1.2 -3.13472e-05 1.20279e-05 4.08344e-06 1.09822e-05
1.3 -2.383e-05 1.29182e-05 -3.67355e-06 1.1798e-05
1.4 7.14438e-07 1.40503e-05 3.31434e-05 1.28203e-05
1.5 -1.60998e-05 1.55438e-05 4.39071e-05 1.41923e-05
1.6 -1.30926e-05 1.75606e-05 4.84666e-06 1.60348e-05
1.7 2.35002e-05 2.06112e-05 3.67761e-05 1.88143e-05
1.8 2.13627e-05 2.59566e-05 -1.99469e-05 2.36932e-05
1.9 2.70098e-05 3.88126e-05 8.37627e-05 3.54448e-05

Figure 10a: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50%
pt sum a+,b+ stat err a+,b- stat err
0.25 -1.86597e-05 4.82506e-05 0.000131891 4.19935e-05
0.35 -0.000168404 3.47549e-05 3.46201e-05 3.01673e-05
0.45 -0.000207891 3.34171e-05 2.86431e-05 2.89725e-05
0.55 -0.000310941 3.43469e-05 2.34082e-05 2.97232e-05
0.65 -0.000391535 3.63154e-05 -4.26482e-05 3.13792e-05
0.75 -0.000502117 3.98101e-05 -4.886e-05 3.43433e-05
0.85 -0.000540426 4.54117e-05 3.5897e-05 3.90816e-05
0.95 -0.000683329 5.34133e-05 -9.06207e-05 4.58721e-05
1.05 -0.000827452 6.39604e-05 -2.7063e-05 5.48576e-05
1.15 -0.000948429 7.73027e-05 -6.53509e-05 6.61969e-05
1.25 -0.00109269 9.37443e-05 -2.2286e-05 8.02133e-05
1.35 -0.00128669 0.000113811 -0.000143735 9.72948e-05
1.45 -0.00128052 0.000138324 -0.00029832 0.000118159
1.55 -0.00173005 0.00016816 -0.000110469 0.00014353
1.65 -0.00192021 0.000207982 -0.000200126 0.000177373
1.75 -0.00201955 0.000261336 0.000103889 0.000222654
1.85 -0.00216591 0.000331633 0.000207484 0.000282337
1.95 -0.00218459 0.000426053 -0.000256544 0.000362181
2.05 -0.00196731 0.000554984 0.000610387 0.00047096
2.15 -0.00223326 0.00073107 -0.0010659 0.000620133
2.25 -0.00276544 0.000976834 0.000875386 0.000827678

Figure 10b: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30%
pt sum a+,b+ stat err a+,b- stat err
0.25 -2.06612e-05 2.0454e-05 5.156e-05 1.78039e-05
0.35 -8.44719e-05 1.42973e-05 1.92302e-05 1.24121e-05
0.45 -0.000122139 1.36589e-05 -1.68469e-05 1.18385e-05
0.55 -0.000129366 1.46395e-05 -5.0957e-06 1.26673e-05
0.65 -0.000179707 1.61996e-05 -8.05348e-06 1.40001e-05
0.75 -0.000238254 1.7952e-05 7.53611e-06 1.54954e-05
0.85 -0.000231923 2.0153e-05 -7.95715e-06 1.73638e-05
0.95 -0.000303857 2.33131e-05 -4.30243e-05 2.00503e-05
1.05 -0.00031866 2.79466e-05 -6.67366e-05 2.39755e-05
1.15 -0.00038018 3.43602e-05 -0.000100704 2.94024e-05
1.25 -0.000533262 4.27401e-05 -7.56699e-05 3.65306e-05
1.35 -0.000441765 5.32342e-05 -0.000109938 4.54565e-05
1.45 -0.000682588 6.60442e-05 -0.000144124 5.6375e-05
1.55 -0.000557763 8.14805e-05 -0.000259064 6.95221e-05
1.65 -0.000742154 0.000101524 -0.00010575 8.65791e-05
1.75 -0.000681588 0.000127306 -0.000104356 0.000108487
1.85 -0.000897995 0.000160127 -0.000137981 0.000136411
1.95 -0.00096773 0.000203044 -5.55571e-05 0.000172819
2.05 -0.000611806 0.000260404 8.24887e-05 0.000221367
2.15 -0.00145831 0.00033865 0.000465847 0.000287613
2.25 -0.00136431 0.000447146 0.000802626 0.000379469

Figure 11a: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50%
delta pt a+,b+ stat err a+,b- stat err
0.15 -0.000570132 4.44496e-05 2.74526e-05 4.44756e-05
0.25 -0.000790017 4.6295e-05 -1.86276e-05 4.63183e-05
0.35 -0.000733443 4.8252e-05 -3.69426e-05 4.82585e-05
0.45 -0.000845225 5.03933e-05 -0.000176756 5.04128e-05
0.55 -0.000892947 5.28601e-05 -3.01604e-05 5.28608e-05
0.65 -0.000791999 5.57771e-05 -1.85454e-05 5.57635e-05
0.75 -0.000765128 5.92857e-05 -2.98023e-05 5.92656e-05
0.85 -0.000718002 6.34974e-05 -3.03018e-05 6.34702e-05
0.95 -0.000670958 6.85775e-05 -5.28269e-05 6.85097e-05
1.05 -0.000780415 7.46191e-05 -4.23097e-05 7.45444e-05
1.15 -0.000616988 8.17619e-05 -6.84859e-05 8.16977e-05
1.25 -0.000745754 9.01446e-05 3.4332e-05 9.00258e-05
1.35 -0.000695117 9.98154e-05 9.91924e-05 9.97415e-05
1.45 -0.000725004 0.000111012 1.29946e-05 0.000110838
1.55 -0.000800796 0.000123795 -0.000108198 0.000123587
1.65 -0.000862672 0.000138104 -0.000243131 0.00013794
1.75 -0.000597527 0.000154241 0.000225452 0.000154038
1.85 -0.000542748 0.000172125 7.15818e-05 0.000171969
1.95 -0.000841824 0.000192031 8.24761e-05 0.000191584
2.05 -0.000529912 0.000213962 -5.01992e-06 0.000213762
2.15 -0.00029975 0.000238872 -0.000244324 0.000238142
2.25 -0.000492216 0.000266899 -6.1186e-05 0.000266489
2.35 -0.00036984 0.000301408 0.000259713 0.000301192

Figure 11b: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30%
delta pt a+,b+ stat err a+,b- stat err
0.25 -0.000381126 3.33924e-05 -4.03236e-05 3.3405e-05
0.35 -0.000432386 3.42273e-05 -5.67811e-05 3.42288e-05
0.45 -0.000400064 3.50049e-05 -3.30032e-05 3.50135e-05
0.55 -0.000432995 3.57841e-05 -0.000124951 3.57925e-05
0.65 -0.000469921 3.66111e-05 -7.5456e-05 3.66201e-05
0.75 -0.00045287 3.75741e-05 -0.000102602 3.7578e-05
0.85 -0.000428907 3.87401e-05 -5.18942e-05 3.8747e-05
0.95 -0.00037996 4.02101e-05 9.77211e-06 4.02184e-05
1.05 -0.000363232 4.2082e-05 -6.96972e-05 4.20963e-05
1.15 -0.000357043 4.44158e-05 -5.124e-05 4.44274e-05
1.25 -0.000339598 4.73103e-05 -8.84847e-05 4.73008e-05
1.35 -0.000416408 5.07762e-05 -6.66695e-05 5.07721e-05
1.45 -0.000341867 5.48549e-05 0.000109747 5.48451e-05
1.55 -0.000284264 5.95697e-05 -3.10067e-05 5.95747e-05
1.65 -0.000348883 6.48938e-05 7.08809e-05 6.49218e-05
1.75 -0.000355468 7.09345e-05 1.4693e-05 7.08864e-05
1.85 -0.00020167 7.75942e-05 -2.13547e-05 7.7614e-05
1.95 -0.000253686 8.50803e-05 5.45537e-05 8.50582e-05
2.05 -0.000465969 9.35876e-05 -0.000104112 9.35282e-05
2.15 -0.000405194 0.000103704 -9.74389e-05 0.000103674
2.25 -0.000332261 0.000116086 3.03482e-05 0.000115966
2.35 -0.000343455 0.000131657 -4.17877e-05 0.000131409

Figure 12: macro, png, eps

cos(a+b-2c)*Npart @200GeV
Npart a+,b+,Au+Au stat err a+,b-,Au+Au stat err
352 -0.000210046 1.94012e-05 -9.0006e-05 1.9661e-05
298 -0.000491166 2.41625e-05 -8.40338e-05 2.44763e-05
234 -0.000957427 2.22866e-05 -8.99726e-05 2.2586e-05
166 -0.00142767 2.56207e-05 -5.95834e-05 2.59014e-05
115 -0.00171463 3.11993e-05 -2.67692e-05 3.14721e-05
76 -0.00173189 3.71026e-05 9.56778e-05 3.71116e-05
46 -0.00147682 4.48131e-05 0.000193474 4.44606e-05
26 -0.000921945 6.06213e-05 0.000356127 5.90036e-05
Npart a+,b+,Cu+Cu stat err a+,b-,Cu+Cu stat err
111 -0.000279951 2.59192e-05 6.55011e-05 2.61278e-05
91 -0.000377206 2.74126e-05 8.63549e-05 2.75705e-05
75 -0.00052256 2.39271e-05 0.000130811 2.39682e-05
55 -0.000689268 2.78088e-05 0.000234959 2.77426e-05
39 -0.000706138 3.31708e-05 0.000261485 3.27993e-05
27 -0.000667229 3.89113e-05 0.000341826 3.81441e-05
18 -0.000586202 4.68995e-05 0.000451671 4.51383e-05

Figure 13: macro, png, eps

cos(a+b-2*psi_RP) Au+Au@200GeV
centrality a+,b+ stat err a+,b- stat err
5-10% -4.84767e-05 2.38477e-06 -8.2939e-06 2.41575e-06
10-20% -8.43622e-05 1.96375e-06 -7.9278e-06 1.99013e-06
20-30% -0.000139391 2.50148e-06 -5.81744e-06 2.52889e-06
30-40% -0.000212998 3.87569e-06 -3.32537e-06 3.90957e-06
40-50% -0.000310464 6.65112e-06 1.71515e-05 6.65273e-06
50-60% -0.000449019 1.36251e-05 5.88244e-05 1.3518e-05
60-70% -0.000531625 4.49563e-05 0.000205355 4.40235e-05

Monte-Carlo number for Fig. 13

HIJING
centrality a+,b+ stat err a+,b- stat err
30-40% -9.93524e-06 4.2788e-06 -6.64e-06 4.74e-06
60-70% 2.135e-05 2.89914e-05 -6.8e-05 2.6e-05
HIJING+v2
centrality a+,b+ stat err a+,b- stat err
30-40% -7.10673e-07 3.92277e-06 7.76878e-06 2.75007e-06
40-50% -1.39227e-06 5.87389e-06 1.30744e-05 4.1165e-06
50-60% -9.2582e-06 9.33568e-06 1.47317e-05 6.51374e-06
60-70% -4.21107e-05 1.64567e-05 2.50399e-05 1.13663e-05
UrQMD
centrality a+,b+ stat err a+,b- stat err
12% -6.33629e-06 6.85204e-06 -1.849e-05 7.41e-06
40% -6.25453e-05 9.0154e-06 -6.4e-05 9e-06
69% -0.000113128 3.42632e-05 -0.000215 3.79e-05
MEVSIM
centrality a+,b+ stat err a+,b- stat err
40-50% 1.17707e-05 1.05347e-05 9.5e-05 1.2e-05
HIJING 3-particle background: cos(a+b-2c)/v2[data]
centrality a+,b+ a+,b-
5-10% 1.59273e-06 4.24727e-06
10-20% 1.74886e-06 4.66362e-06
20-30% 2.61747e-06 6.97991e-06
30-40% 4.84958e-06 1.29322e-05
40-50% 1.05797e-05 2.82126e-05
50-60% 2.82856e-05 7.54282e-05
60-70% 9.30982e-05 0.000248262