Probing the scalar potential via double Higgs boson production at hadron colliders

Sophia Borowka,Ambresh Shivaji,Davide Pagani,Fabio Maltoni,Claude Duhr,Xiaoran Zhao

doi:10.1007/jhep04(2019)016

Abstract

We present a sensitivity study on the cubic and quartic self couplings in double Higgs production via gluon fusion at hadron colliders. Considering the relevant operators in the Standard Model Effective Field Theory up to dimension eight, we calculate the dominant contributions up to two-loop level, where the first dependence on the quartic interaction appears. Our approach allows to study the independent variations of the two self couplings and to clearly identify the terms necessary to satisfy gauge invariance and to obtain UV-finite results order by order in perturbation theory. We focus on the boverline{b}gamma gamma signature for simplicity and provide the expected bounds for the cubic and quartic self couplings at the 14 TeV LHC with 3000 fb−1 (HL-LHC) and for a future 100 TeV collider (FCC-100) with 30 ab−1. We find that while the HL-LHC will provide very limited sensitivity on the quartic self coupling, precision measurements of double Higgs production at a FCC-100 will offer the opportunity to set competitive bounds. We show that combining information from double and triple Higgs production leads to significantly improved prospects for the determination of the quartic self coupling.

Highlights

The situation, is very different for the scalar potential on which we have not gained any relevant information so far and which is largely unexplored
We present a sensitivity study on the cubic and quartic self couplings in double Higgs production via gluon fusion at hadron colliders
We focus on the bbγγ signature for simplicity and provide the expected bounds for the cubic and quartic self couplings at the 14 TeV LHC with 3000 fb−1 (HL-LHC) and for a future 100 TeV collider (FCC-100) with 30 ab−1

Summary

Introduction

The situation, is very different for the scalar potential on which we have not gained any relevant information so far and which is largely unexplored. Combining three different analyses (4b, bbτ τ, and bbγγ signatures) based on 27.5–36.1 fb−1 of data accumulated at 13 TeV [13,14,15,16], cross sections larger than 6.7 times the SM one can be excluded This limit translates into the bound −5.0 λS3M < λ3 < 12.1 λS3M, where λ3 is the cubic coupling and λS3M is its SM prediction. Even a future 100 TeV proton-proton collider will need a considerable amount of integrated luminosity in order to obtain rather loose bounds [53,54,55,56] For this process precise predictions are already available [57,58,59]. The first incomplete estimation of these effects has been presented in ref. [72], showing the possibility of following this strategy at future hadron colliders

Objectives

Results

Conclusion