Abstract
We present an analytic computation of the two-loop QCD corrections to ud[over ¯]→W^{+}bb[over ¯] for an on-shell W boson using the leading color and massless bottom quark approximations. We perform an integration-by-parts reduction of the unpolarized squared matrix element using finite field reconstruction techniques and identify an independent basis of special functions that allows an analytic subtraction of the infrared and ultraviolet poles. This basis is valid for all planar topologies for five-particle scattering with an off-shell leg.
Highlights
Introduction.—The production of a W boson in association with a pair of b quarks at hadron colliders is of fundamental importance as a background to Higgs production in association with a vector boson
The process is one of a prioritized list of 2 → 3 scattering problems for which higher-order corrections are necessary to keep theory in line with data. These amplitudes are related to a large class of processes contributing to pp → W þ 2j production, and the work presented in this Letter represents a significant step toward achieving a complete classification of the missing two-loop amplitudes
A numerical computation of the two-loop helicity amplitudes [11] demonstrated the importance of an efficient analytic form with a well-understood basis of special functions
Summary
Introduction.—The production of a W boson in association with a pair of b quarks at hadron colliders is of fundamental importance as a background to Higgs production in association with a vector boson. We perform an integration-byparts reduction of the unpolarized squared matrix element using finite field reconstruction techniques and identify an independent basis of special functions that allows an analytic subtraction of the infrared and ultraviolet poles.
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