6533b7d6fe1ef96bd12665f5

RESEARCH PRODUCT

Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals

Andreas Von ManteuffelRobert M. SchabingerMatthias Heller

subject

Quantum chromodynamicsPhysicsHigh Energy Physics - TheoryBasis (linear algebra)010308 nuclear & particles physicsHadronHigh Energy Physics::PhenomenologyFOS: Physical sciences01 natural sciencesLoop (topology)High Energy Physics - PhenomenologyPair productionHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Phase space0103 physical sciencesGravitational singularityHigh Energy Physics::ExperimentAlgebraic number010306 general physicsMathematical physics

description

We consider Feynman integrals with algebraic leading singularities and total differentials in $\epsilon\,\mathrm{d}\ln$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable roots in terms of conventional multiple polylogarithms, by either parametric integration or matching the symbol. As our main application, we evaluate the two-loop master integrals relevant to the $\alpha \alpha_s$ corrections to Drell-Yan lepton pair production at hadron colliders. We optimize our functional basis to allow for fast and stable numerical evaluations in the physical region of phase space.

10.1103/physrevd.102.016025http://arxiv.org/abs/1907.00491