Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Joshua Davies,Go Mishima,Matthias Steinhauser,Florian Herren

doi:10.1007/jhep01(2022)049

Abstract

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in 1/ {m}_t^2 . To this end, we analytically compute the real-virtual and double-real contributions to the total cross section and combine them with the existing virtual contribution. Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range. We present details on various steps of our calculation; in particular, we provide results for three- and four-particle phase-space master integrals and describe in detail the evaluation of the collinear counterterms.

Highlights

After the discovery of the Higgs boson [1, 2] one of the major tasks of the Large Hadron Collider (LHC) at CERN, and in particular the High-Luminosity LHC, is to investigate the scalar sector of the Standard Model (SM) of particle physics
Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range
The main achievement of this paper is the computation of the next-to-next-to-leading order (NNLO) real-radiation contribution to the total cross section of the process gg → HH in an expansion for large top quark mass

Summary

Introduction

After the discovery of the Higgs boson [1, 2] one of the major tasks of the Large Hadron Collider (LHC) at CERN, and in particular the High-Luminosity LHC, is to investigate the scalar sector of the Standard Model (SM) of particle physics. Within the SM all parameters are known: the scalar potential contains two parameters, the Higgs boson mass (mH ) and the vacuum expectation value (v). Both are available to high precision [3] and their combination determines the triple and quartic Higgs boson couplings via λ = m2H /(2v2) ≈ 0.13. A measurement of this cross section with a reasonable precision is very challenging Λ only enters via quantum corrections at next-to-leading order (NLO), reducing the sensitivity to its value in this process Λ only enters via quantum corrections at next-to-leading order (NLO), reducing the sensitivity to its value in this process (see, e.g., refs. [6,7,8,9])

Objectives

Results

Conclusion