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

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arxiv 1907.00491 v2 pith:62P3V3G4 submitted 2019-06-30 hep-th hep-ph

Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger This is my paper · ORCID
classification hep-thhep-ph
keywords integralsalgebraicalphadrell-yanevaluatemastermultiplepolylogarithms
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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.

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Cited by 4 Pith papers

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    Planar two-loop six-particle massless master integrals are solved analytically up to weight four as Chen iterated integrals, with a complete 245-letter alphabet and a validated numerical implementation.

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    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

  3. All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

    hep-ph 2025-12 accept novelty 6.0 of 10

    All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...

  4. Mixed QCD-EW corrections to the neutral-current Drell-Yan process

    hep-ph 2024-12 accept novelty 5.0 of 10

    Exact mixed QCD-EW corrections at order alpha_s alpha to neutral-current Drell-Yan production are computed and applied to distributions, the forward-backward asymmetry, and dressed leptons.

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