Abstract
Building upon the formulation of transverse-momentum resummation for heavy-quark hadroproduction, we present the first application of the q_T subtraction formalism to the computation of electroweak corrections to massive lepton pairs through the Drell–Yan mechanism. We then study the power suppressed contributions to the q_T subtraction formula in the parameter r_{mathrm{cut}}, defined as the minimum transverse momentum of the lepton pair normalised to its invariant mass. We analytically compute the leading power correction from initial and final-state radiation to the inclusive cross section. In the case of initial-state radiation the power correction is quadratic in r_{mathrm{cut}} and our analytic result is consistent with results previously obtained in the literature. Final-state radiation produces linear contributions in r_{mathrm{cut}} that may challenge the efficiency of the q_T subtraction procedure. We explicitly compute the linear power correction in the case of the inclusive cross section and we discuss the extension of our calculation to differential distributions.
Highlights
The qT subtraction formalism [1] is a method to handle and cancel the IR divergences appearing in QCD computations at next-to-next-to-leading order (NNLO) and beyond
In this paper we have considered an application of the qT subtraction formalism to the production of massive lepton
We have shown that qT subtraction can be applied to evaluate NLO EW corrections to this process through a straightforward abelianisation procedure from heavy-quark production in QCD
Summary
The qT subtraction formalism [1] is a method to handle and cancel the IR divergences appearing in QCD computations at next-to-next-to-leading order (NNLO) and beyond. A first application of qT subtraction to the computation of the approximate next-to-next-to-next-to-leading order (N3LO) QCD corrections to Higgs boson production through gluon fusion has been presented recently [18]. In the inclusive production of a colourless final state the power suppressed contributions are known to be quadratic in rcut (modulo logarithmic enhancements) [12]. This allows us to obtain precise predictions by either evaluating the cross section at sufficiently small rcut, or carrying out the rcut → 0 extrapolation1 [17]. We first present and discuss the first application of the qT subtraction formalism to the computation of the NLO EW corrections to the production of massive lepton pairs.
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