Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power

TL;DR

This paper develops a method to sum leading logarithmic contributions at next-to-leading power for Higgs production via gluon fusion near the threshold, confirming previous results and highlighting their numerical importance.

Contribution

It extends threshold resummation techniques to next-to-leading power in Higgs production, revealing new contributions and confirming conjectures through all-order results.

Findings

Leading logarithms are numerically significant near the threshold.

The resummation can be obtained by a simple substitution of colour factors.

Results confirm previous fixed-order calculations and conjectures.

Abstract

We sum the leading logarithms $\alpha_s^n \ln^{2 n-1}(1-z)$, n=1,2,... near the kinematic threshold $z=m_H^2/\hat{s}\to 1$ at next-to-leading power in the expansion in (1-z) for Higgs production in gluon fusion. We highlight the new contributions compared to Drell-Yan production in quark-antiquark annihilation and show that the final result can be obtained to all orders by the substitution of the colour factor $C_F\to C_A$, confirming previous fixed-order results and conjectures. We also provide a numerical analysis of the next-to-leading power leading logarithms, which indicates that they are numerically relevant.