Two-loop mixed QCD-EW corrections to neutral current Drell-Yan

Abstract

We present the two-loop mixed strong-electroweak virtual corrections to the neutral current Drell-Yan process and we provide, in ancillary files, the explicit formulae of the infrared-subtracted finite remainder. The final state collinear singularities are regularised by the lepton mass. The evaluation of all the relevant Feynman integrals, including those with up to two internal massive lines, has been worked out relying on analytical and semi-analytical techniques, in the case of complex-valued masses.

Event Generators for High-Energy Physics Experiments

“…There is an analog of the q T -subtraction scheme for corrections of relative O(α m s α n ), which involves mixed QCD/EW subtraction terms if m = 1 and n = 1. Those have been calculated in the MATRIX framework for the charged Drell-Yan process in a reweighted pole approximation [551], and for the neutral DY process in a first complete calculation of O(α s α) corrections [552], using the amplitudes of [553]. Along the same lines, the q T subtraction formalism can be extended towards NNLO EW corrections (i.e.…”

Evaluation of Feynman integrals with arbitrary complex masses via series expansions

“…As a first practical application of the algorithm discussed in section 2, we provide the results for the evaluation of the MIs relevant for the mixed QCD-EW corrections to the neutral-current Drell-Yan process, recently presented in Ref [48]. We focus on the integrals numbered 32-36 in Ref.…”

“…The NNLO mixed QCD-EW corrections to the neutral current Drell-Yan have been calculated recently in Ref. [48]. In the complete amplitude 204 MIs appear and they can be evaluated using the method of differential equations.…”

“…We outline the implementation in the Mathematica package SeaSyde (Series Expansion Approach for SYstems of Differen-tial Equations) of the algorithm that solves a system of differential equations, for arbitrary complex-valued kinematical variables and we illustrate the different computational strategies available. In Section 3, as a first practical application of the algorithm, we discuss the solution of the MIs needed to evaluate the two-loop QCD-EW virtual corrections to the neutral-current Drell-Yan processes [44,48]. The detailed expressions and evaluation properties of the integrals used in Ref.…”

“…The detailed expressions and evaluation properties of the integrals used in Ref. [48] constitute an original result of this paper. Finally, in Section 4 we draw our conclusions.…”