Power Corrections to Electroweak Boson Production from Threshold Resummation

TL;DR

This paper investigates power corrections in electroweak boson production due to threshold resummation, extending the analysis to massive particles at measured transverse momentum and rapidity, and identifies their order and behavior.

Contribution

It extends threshold resummation to include power corrections for massive particles at specific kinematic variables, clarifying their order and exponentiation properties.

Findings

Power corrections start at order 1/p_T^2 in QCD.

Leading behavior for large Mellin moments is N^2/p_T^2.

Power corrections exponentiate with threshold logarithms.

Abstract

We study the power corrections for electroweak boson production that are implied by threshold resummation, which we have extended to massive particles produced at measured transverse momentum, $p_T$, and rapidity. Power corrections in the resulting expressions arise from ambiguities in the low-scale behavior of the perturbative running coupling. Arguing for the relevance of the eikonal approximation, we show that such power corrections begin at order $1/p_T^2$ in full QCD, consistent with fixed-order, massive-gluon analysis. For large-$N$ Mellin moments, the leading behavior is $N^2/p_T^2$, which exponentiates along with the logarithms of threshold resummation.