2 particle Correlator Calculations

 Here is the derivation of the analytical calculation for the 2 particle correlator. It can be written as a sum of two parts, one corresponding to the average

covariance of the average $p_{T}$ spectrum, and another corresponding to the second moment of

the $p_{T}$ spectra and the average number of tracks used in the calculation.written as a sum of two parts, one corresponding to the average covariance of the average pT spectrum,

and another corresponding to the second moment of the pT spectra and the average number of tracks

used in the calculation. written as a sum of two parts, one corresponding to the average covariance of the average pT spectrum,

and another corresponding to the second moment of the pT spectra and the average number of tracks

used in the calculation.