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Higher-order soft and virtual corrections in $p p \to γW$ production at the LHC

Nikolaos Kidonakis, Alberto Tonero

TL;DR

This work addresses precision QCD predictions for $pp \to \gamma W$ at the LHC by computing $\text{NNLO}$ soft-plus-virtual corrections and extending to $\text{N}^3\text{LO}$ soft-gluon corrections in single-particle-inclusive kinematics with the photon identified. The authors develop and apply a soft-gluon resummation framework, yielding $\text{aNNLO}$ and $\text{aN}^3\text{LO}$ total cross sections and photon $p_T$ distributions at $\sqrt{s}=13$ and 13.6 TeV, separately for $\gamma W^+$ and $\gamma W^-$. Numerically, the higher-order corrections significantly enhance cross sections and reduce scale uncertainties, while the photon $p_T$ spectra show mild $p_T$-dependent $K$-factors and stable shapes. This is the first complete soft-gluon correction calculation at $\text{N}^3\text{LO}$ for a SM process in this kinematics, with important implications for precision tests of gauge couplings and new-physics searches at the LHC.

Abstract

We study higher-order QCD corrections beyond NLO for the associated production of a photon with a $W$ boson ($γW^+$ and $γW^-$ production) at the Large Hadron Collider. We calculate the NNLO soft-plus-virtual QCD corrections as well as the N$^3$LO soft-gluon corrections to the total production cross section and the photon transverse-momentum distribution in single-particle-inclusive kinematics. The higher-order corrections provide a significant enhancement to the cross section. This is the first calculation of the complete soft-gluon corrections at N$^3$LO in single-particle-inclusive kinematics for a Standard Model process.

Higher-order soft and virtual corrections in $p p \to γW$ production at the LHC

TL;DR

This work addresses precision QCD predictions for at the LHC by computing soft-plus-virtual corrections and extending to soft-gluon corrections in single-particle-inclusive kinematics with the photon identified. The authors develop and apply a soft-gluon resummation framework, yielding and total cross sections and photon distributions at and 13.6 TeV, separately for and . Numerically, the higher-order corrections significantly enhance cross sections and reduce scale uncertainties, while the photon spectra show mild -dependent -factors and stable shapes. This is the first complete soft-gluon correction calculation at for a SM process in this kinematics, with important implications for precision tests of gauge couplings and new-physics searches at the LHC.

Abstract

We study higher-order QCD corrections beyond NLO for the associated production of a photon with a boson ( and production) at the Large Hadron Collider. We calculate the NNLO soft-plus-virtual QCD corrections as well as the NLO soft-gluon corrections to the total production cross section and the photon transverse-momentum distribution in single-particle-inclusive kinematics. The higher-order corrections provide a significant enhancement to the cross section. This is the first calculation of the complete soft-gluon corrections at NLO in single-particle-inclusive kinematics for a Standard Model process.

Paper Structure

This paper contains 5 sections, 22 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Soft-gluon corrections for $\gamma W$ production
  3. Total cross sections for $\gamma W^+$ and $\gamma W^-$ at 13 and 13.6 TeV
  4. Photon $p_T$ distributions at 13 and 13.6 TeV
  5. Conclusions

Figures (2)

  • Figure 1: The photon $p_T$ distributions through aN$^3$LO in $\gamma W^+$ (left) and $\gamma W^-$ (right) production in $pp$ collisions at an LHC energy of 13 TeV. The inset plots display the $K$-factors relative to NLO.
  • Figure 2: The photon $p_T$ distributions through aN$^3$LO in $\gamma W^+$ (left) and $\gamma W^-$ (right) production in $pp$ collisions at an LHC energy of 13.6 TeV. The inset plots display the $K$-factors relative to NLO.