Probing the Higgs trilinear self-coupling through Higgs+jet production

TL;DR

This paper calculates the electroweak corrections to Higgs+jet production at the LHC, providing insights into the Higgs self-coupling and aiding future experimental constraints.

Contribution

It introduces a novel calculation of NLO electroweak corrections to Higgs+jet production, utilizing large top mass expansion and Padé approximation techniques.

Findings

NLO EW correction is 0.66% for total cross section.

Corrections are nearly flat for invariant mass and transverse momentum distributions.

Results help constrain the Higgs trilinear self-coupling at the LHC.

Abstract

We present the calculation of the next-to-leading order (NLO) electroweak (EW) corrections proportional to the Higgs trilinear self-coupling ($\lambda_{HHH}$) for Higgs boson plus one jet production at the Large Hadron Collider (LHC). We use the method of large top quark mass expansion to tackle the most challenging two-loop virtual amplitude, and apply the Pad\'{e} approximation to extend the region of convergence of the expansion. We find that the NLO EW corrections is $0.66\%$ for the total cross section. For the invariant mass distribution and Higgs boson transverse momentum distribution, the NLO corrections are almost flat with their values similar in size. Our results can be used to set extra constraints on $\lambda_{HHH}$ at the LHC.