Parameterized Fit Fuctions for Non-Linearity w/ Radiation Damage

 Fit Data comes from ~10k Pi0 with 3.05<eta<3.15, looking at decay photons.

Two Files Correspond to the two fit functions:
  1. 3 regimes of linear fits ("Lin") going from 3 GeV to 70 GeV
  2. One pol2 fit at lowest energy, followed by two linear fits ("Quad"), going from 0 GeV to 70 GeV

Fits were done once per week. Each Week was normalized so that the gain, g(12.5)=1

  • Conversion between number of detected photons/GeV and gain function in xls documents under "normFactor"
  • Functions were constrained to be continuous


Explanation of Parameters (param[i] in the csv)

Lin:
    0: Y-intercept of fit to lowest energy region
    1: Slope of fit to lowest energy region
    2: Slope of fit to medium energy region
    3: Slope of fit to highest energy region
    4: First turnover point (gamma energy of transition between lowest energy and medium energy regions)
    5: Second Turnover point (between medium and high energy region)

Quad:
    0: Constant coefficient of fit to lowest energy region
    1: Linear coefficient of fit to lowest energy region
    2: Quadratic coefficient of fit to medium energy region
    3: Slope of fit to medium energy region
    4: Slope of fit to highest energy region
    5: First turnover point (gamma energy of transition between lowest energy and medium energy regions)
    6: Second Turnover point (between medium and high energy region)

Also listed in the xls are the errors on the parameters, the fit chiSquare and number of degress of freedom, and for which daynum,

/////////////////////////////////September 14 2017
I've Added two additional xls documents for the small cell. In both, the profiles were fit to three slopes, one each at low energy, medium, and high. The transititon points were chosen by the fitter as before, with functions forced to be continuous.

Data from Gammas with 3.85<eta<3.95, fitting from 10 to 70 GeV

DataSet with Name "SmallParamtersLin12.xls" had the function set equal to 1 at a gamma energy of 12.5 GeV

DataSet with Name "SmallParamtersLin20.xls" had the function set equal to 1 at a gamma energy of 20 GeV

Parameters are same as in the Lin section above.