A new calculation of the NLO energy-energy correlation function

Abstract

We present a new calculation of the O(α 2 s ) coefficient of the energy-energy correlation function (EEC) using two different schemes to cancel infrared and collinear poles. The numerical evaluation uses the phase space slicing and the hybrid subtraction method. Both schemes converge with decreasing slicing cut. The results are independent of the scheme for small cuts. For the pure phase space slicing method, the cut must be below 10 −6 to achieve good results. All four approaches agree with each other and confirm the results of Kunszt and Nason and Glover and Sutton, for the latter also with respect to contributions of different colour factors.

Precise determination of αS( $ m_{Z^0 } $ ) from a global fit of energy-energy correlations to NNLO+NNLL predictions

“…The differential EEC distribution has been computed numerically at NLO accuracy in perturbation theory some time ago [24][25][26][27][28][29][30][31][32][33][34] and efforts towards obtaining an analytic result at this order [35,36] have culminated in a complete calculation very recently [21].…”

Precise determination of $$\alpha _{S}(M_Z)$$ α S ( M Z )

“…The differential EEC distribution has been computed numerically at NLO accuracy in perturbation theory some time ago [24][25][26][27][28][29][30][31][32][33][34] and efforts towards obtaining an analytic result at this order [35,36] have culminated in a complete calculation very recently [21]. The NNLO prediction has also been obtained in ref.…”

Energy-energy correlation in N=4 super Yang-Mills theory at next-to-next-to-leading order

“…The EEC at leading order (LO) is known since [1], while the next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) results were obtained numerically in Refs. [14][15][16][17][18][19][20][21] and [22,23], respectively. Only very recently, the NLO result was computed analytically [24].…”