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Higgs Boson Production at the LHC with Soft Gluon Effects

C. Balazs, C. -P. Yuan

TL;DR

This work addresses the need for accurate Higgs production predictions at the LHC by incorporating soft-gluon resummation into Higgs production via gluon fusion. The authors implement Collins-Soper-Sterman resummation in the ResBos framework, including NNLO-like A^(2) contributions, partial B^(2), heavy-top effective coupling, and a non-perturbative function, and they match to fixed-order results to obtain reliable Q_T distributions. They quantify uncertainties from uncalculated terms, compare with fixed-order results and PYTHIA, and discuss how the resummed distributions can tune Monte Carlo event generators. This work provides a practical, higher-precision tool for LHC phenomenology and Higgs signal extraction.

Abstract

We present results of QCD corrections to Higgs boson production at the CERN Large Hadron Collider. Potentially large logarithmic contributions from multiple soft-gluon emission are summed up to all order in the strong coupling. Various kinematical distributions, including the Higgs transverse momentum, are predicted with O(alpha_s^3) precision. Comparison is made to outputs of the popular Monte Carlo event generator PYTHIA.

Higgs Boson Production at the LHC with Soft Gluon Effects

TL;DR

This work addresses the need for accurate Higgs production predictions at the LHC by incorporating soft-gluon resummation into Higgs production via gluon fusion. The authors implement Collins-Soper-Sterman resummation in the ResBos framework, including NNLO-like A^(2) contributions, partial B^(2), heavy-top effective coupling, and a non-perturbative function, and they match to fixed-order results to obtain reliable Q_T distributions. They quantify uncertainties from uncalculated terms, compare with fixed-order results and PYTHIA, and discuss how the resummed distributions can tune Monte Carlo event generators. This work provides a practical, higher-precision tool for LHC phenomenology and Higgs signal extraction.

Abstract

We present results of QCD corrections to Higgs boson production at the CERN Large Hadron Collider. Potentially large logarithmic contributions from multiple soft-gluon emission are summed up to all order in the strong coupling. Various kinematical distributions, including the Higgs transverse momentum, are predicted with O(alpha_s^3) precision. Comparison is made to outputs of the popular Monte Carlo event generator PYTHIA.

Paper Structure

This paper contains 4 sections, 10 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Analytical Results
  3. Numerical Results
  4. Conclusions

Figures (2)

  • Figure 1: SM Higgs boson production cross sections at the LHC via gluon fusion as the function of the Higgs mass, with QCD corrections calculated by soft--gluon resummation (solid), at fixed order ${\cal O}(\alpha_s^3)$ (dashed), and without QCD corrections at ${\cal O}(\alpha_s^2)$ (dotted). The ${\cal O}(\alpha_s^3)$ curve is scaled by 1.5 (dash-dotted, c.f. Ref. Kramer:1996iq) to estimate the ${\cal O}(\alpha_s^4)$ result.
  • Figure 2: Higgs boson transverse momentum distributions calculated by ResBos (curves) and PYTHIA (histograms). The default (middle) ResBos curve was calculated with the canonical choice of the renormalization constants, and the other two with doubled (lower curve) and halved (upper curve) values of $C_1$ and $C_2$. For PYTHIA we show the original output with default input parameters (dashed), the same rescaled by a factor of $K = 2$ (dotted), and a curve calculated by the altered input parameter value $Q_{max}^2 = s$ (dash-dotted). The lower portion, with a logarithmic scale, also shows the high $Q_T$ region.