Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton. (English) Zbl 1522.81749
Summary: The master integrals for the mixed QCD-QED two-loop virtual corrections to the charged-current Drell-Yan process \(q\bar{q}^\prime\rightarrow\ell\nu\) are computed analytically by using the differential equation method. A suitable choice of master integrals makes it successful to cast the differential equation system into the canonical form. We keep the dependence on charged lepton mass in the building of differential equations and then expand the system against the ratio of small charged lepton mass to large \(W\)-boson mass. In such a way the final results will contain large logarithms of the form \(\log(m_\ell^2/m_W^2)\). Finally, all the canonical master integrals are given as Taylor series around \(d = 4\) spacetime dimensions up to order four, with coefficients expressed in terms of Goncharov polylogarithms up to weight four.
MSC:
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 81T18 | Feynman diagrams |
| 68W30 | Symbolic computation and algebraic computation |
| 81-08 | Computational methods for problems pertaining to quantum theory |
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