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Higher-order QCD and electroweak corrections for $t{\bar t}H$ production

Nikolaos Kidonakis, Nodoka Yamanaka

TL;DR

The paper addresses the precision prediction of $t\bar tH$ production by incorporating higher-order QCD and EW corrections. It employs soft-gluon resummation in 1PI kinematics to generate approximate N$^3$LO QCD results plus NLO EW corrections, including top-quark differential distributions. The results show positive, sizable enhancements over lower orders and reduced scale uncertainties, with the aN$^3$LO QCD + NLO EW cross section about 22% above LO QCD at LHC energies. By comparing to ATLAS and CMS data, the study constrains deviations in the top Yukawa coupling and demonstrates the potential to probe new physics via the $ggH$ vertex, while delivering precise $p_T$ and rapidity distributions. This work thus improves precision for testing the Standard Model and probing new physics at the LHC.

Abstract

We calculate higher-order soft-gluon corrections for the associated production of a top-antitop quark pair and a Higgs boson ($t{\bar t}H$ production) using resummation in one-particle-inclusive (1PI) kinematics. By adding these corrections to NLO QCD and NLO electroweak (EW) results, we present cross sections through approximate N$^3$LO (aN$^3$LO) in QCD and NLO in EW for $t{\bar t}H$ production at LHC energies. These aN$^3$LO QCD + NLO EW results provide significant enhancements over lower orders and a reduced scale dependence. Based on our results and current experimental data, we derive a constraint on the deviation of the top quark Yukawa coupling from the Standard Model value which is a probe of new physics beyond it. We also calculate top-quark differential distributions in transverse momentum and rapidity.

Higher-order QCD and electroweak corrections for $t{\bar t}H$ production

TL;DR

The paper addresses the precision prediction of production by incorporating higher-order QCD and EW corrections. It employs soft-gluon resummation in 1PI kinematics to generate approximate NLO QCD results plus NLO EW corrections, including top-quark differential distributions. The results show positive, sizable enhancements over lower orders and reduced scale uncertainties, with the aNLO QCD + NLO EW cross section about 22% above LO QCD at LHC energies. By comparing to ATLAS and CMS data, the study constrains deviations in the top Yukawa coupling and demonstrates the potential to probe new physics via the vertex, while delivering precise and rapidity distributions. This work thus improves precision for testing the Standard Model and probing new physics at the LHC.

Abstract

We calculate higher-order soft-gluon corrections for the associated production of a top-antitop quark pair and a Higgs boson ( production) using resummation in one-particle-inclusive (1PI) kinematics. By adding these corrections to NLO QCD and NLO electroweak (EW) results, we present cross sections through approximate NLO (aNLO) in QCD and NLO in EW for production at LHC energies. These aNLO QCD + NLO EW results provide significant enhancements over lower orders and a reduced scale dependence. Based on our results and current experimental data, we derive a constraint on the deviation of the top quark Yukawa coupling from the Standard Model value which is a probe of new physics beyond it. We also calculate top-quark differential distributions in transverse momentum and rapidity.

Paper Structure

This paper contains 6 sections, 1 equation, 3 figures, 1 table.

Table of Contents

  1. Introduction
  2. Higher-order corrections for $t{\bar{t}}H$ production
  3. $t{\bar{t}}H$ cross sections
  4. Top-quark $p_T$ and rapidity distributions
  5. Analysis and comparison to data
  6. Conclusions

Figures (3)

  • Figure 1: The top-quark $p_T$ distributions through aN$^3$LO QCD + NLO EW in $t{\bar{t}}H$ production in $pp$ collisions at an LHC energy of 13 TeV (left plot) and 13.6 TeV (right plot). The inset plots display the $K$-factors relative to LO.
  • Figure 2: The top-quark rapidity distributions through aN$^3$LO QCD + NLO EW in $t{\bar{t}}H$ production in $pp$ collisions at an LHC energy of 13 TeV (left plot) and 13.6 TeV (right plot). The inset plots display the $K$-factors relative to LO.
  • Figure 3: Comparison of the total cross section of $t{\bar{t}}H$ production in 13 TeV $pp$ collision between the experimental data of CMS CMS2, ATLAS ATLAS3, and our aN$^3$LO QCD + NLO EW result. The theoretical result of Balsach et al.NNLO5 is also shown. The inset plot affords a clearer comparison of our result with that of Ref. NNLO5.