Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power

TL;DR

This paper develops a method to resum leading logarithms at next-to-leading power for the Drell-Yan process near threshold, improving theoretical predictions at high orders using effective field theory techniques.

Contribution

It introduces a novel resummation framework employing soft-collinear effective theory to include next-to-leading power corrections in the Drell-Yan process at high perturbative orders.

Findings

Resummed leading logarithms agree with known NLO and NNLO results.

Provides predictions at N$^3$LO and N$^4$LO, and new results at five-loop order.

Enhances precision of theoretical calculations for Drell-Yan near threshold.

Abstract

We resum the leading logarithms $\alpha_s^n \ln^{2 n-1}(1-z)$, $n=1,2,\ldots$ near the kinematic threshold $z=Q^2/\hat{s}\to 1$ of the Drell-Yan process at next-to-leading power in the expansion in $(1-z)$. The derivation of this result employs soft-collinear effective theory in position space and the anomalous dimensions of subleading-power soft functions, which are computed. Expansion of the resummed result leads to the leading logarithms at fixed loop order, in agreement with exact results at NLO and NNLO and predictions from the physical evolution kernel at N$^3$LO and N$^4$LO, and to new results at the five-loop order and beyond.