Master integrals for the mixed QCD-QED corrections to the Drell-Yan production of a massive lepton pair

Abstract We showcase the calculation of the master integrals needed for the two loop mixed QCD-QED virtual corrections to the neutral current Drell-Yan process ( q q ¯ $$ q\overline{q} $$ → l + l − ). After establishing a basis of 51 master integrals, we cast the latter into canonical form by using...

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Bibliographic Details
Main Authors: Syed Mehedi Hasan, Ulrich Schubert
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2020)107
Description
Summary:Abstract We showcase the calculation of the master integrals needed for the two loop mixed QCD-QED virtual corrections to the neutral current Drell-Yan process ( q q ¯ $$ q\overline{q} $$ → l + l − ). After establishing a basis of 51 master integrals, we cast the latter into canonical form by using the Magnus algorithm. The dependence on the lepton mass is then expanded such that potentially large logarithmic contributions are kept. After determining all boundary constants, we give the coefficients of the Taylor series around four space-time dimensions in terms of generalized polylogarithms up to weight four.
ISSN:1029-8479