Abstract
We perform a dedicated study of the qoverline{q} -initiated two-loop electroweak-QCD Drell-Yan scattering amplitude in dimensional regularization schemes for vanishing light quark and lepton masses. For the relative order α and αs one-loop Standard Model corrections, details of our comparison to the original literature are given. The infrared pole terms of the mixed two-loop amplitude are governed by a known generalization of the dipole formula and we show explicitly that exactly the same two-loop polarized hard scattering functions are obtained in both the standard ’t Hooft-Veltman-Breitenlohner-Maison γ5 scheme and Kreimer’s anticommuting γ5 scheme.
Highlights
A precise theoretical understanding of the neutral- and charged-current Drell-Yan processes [1] in Standard Model perturbation theory is essential to the success of the Large Hadron Collider physics program
Due to the size of the next-to-leading order electroweak corrections, it has long been of interest to calculate the mixed EW-Quantum Chromodynamics (QCD) corrections of relative order ααs as well
We present an explicit application of Kreimer’s γ5 scheme to a non-trivial calculation of two-loop box-type diagrams involving chiral couplings and show that it does yield physically sensible results
Summary
A precise theoretical understanding of the neutral- and charged-current Drell-Yan processes [1] in Standard Model perturbation theory is essential to the success of the Large Hadron Collider physics program. As has been known since the earliest higher-order studies of the Drell-Yan process, it is important to have a solid understanding of the γ5 problem of dimensional regularization [32,33,34,35,36] if one wishes to calculate all Feynman diagrams at a given order, including those where a W or Z connect the initial- and final-state fermion lines.
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