Fiducial $q_T$ resummation of color-singlet processes at N$^3$LL+NNLO

TL;DR

This paper introduces a new framework for precise $q_T$ resummation at N$^3$LL+NNLO accuracy for color-singlet processes, enabling detailed predictions and uncertainty estimates, with applications to various boson production processes.

Contribution

The paper develops a comprehensive SCET-based framework for $q_T$ resummation at N$^3$LL+NNLO for arbitrary color-singlet processes, including implementation and comparisons to experimental data.

Findings

First N$^3$LL+NNLO predictions for $ ext{γγ}$ and $Z ext{γ}$ processes.

Demonstrated agreement with experimental measurements.

Analyzed power corrections from photon isolation.

Abstract

We present a framework for $q_T$ resummation at N$^3$LL+NNLO accuracy for arbitrary color-singlet processes based on a factorization theorem in SCET. Our implementation CuTe-MCFM is fully differential in the Born kinematics and matches to large-$q_T$ fixed-order predictions at relative order $\alpha_s^2$. It provides an efficient way to estimate uncertainties from fixed-order truncation, resummation, and parton distribution functions. In addition to $W^\pm$, $Z$ and $H$ production, also the diboson processes $\gamma\gamma,Z\gamma,ZH$ and $W^\pm H$ are available, including decays. We discuss and exemplify the framework with several direct comparisons to experimental measurements as well as inclusive benchmark results. In particular, we present novel results for $\gamma\gamma$ and $Z\gamma$ at N$^3$LL+NNLO and discuss in detail the power corrections induced by photon isolation requirements.