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

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 UVfinite results order by order in perturbation theory. 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 . 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.

The Higgs trilinear coupling and the scale of new physics

“…Indirect constraints on the Higgs self interactions have also been studied for precision electroweak observables and loop level corrections to Higgs cross sections (e.g. [19][20][21][22][23][24][25][26]), which also have sensitivity but are more model dependent.…”

Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects

“…(2.1). Of course this pattern changes once electroweak corrections, part of which have been calculated recently [29,67], are included. In order to allow for comparisons and cross checks, we implemented both the m t → ∞ limit as well as the amplitudes with full m t -dependence at NLO.…”

“…Measuring Higgs boson pair production is a direct way to access the trilinear Higgs coupling. The trilinear and quartic couplings can also be constrained in an indirect way, through measurements of processes which are sensitive to the Higgs boson self-couplings via electroweak corrections [29,[65][66][67][68][69][70][71][72][73][74][75][76][77]. Such processes offer important complementary information, however they are more susceptible to other BSM couplings entering the loop corrections at the same level, and therefore the limits on κ λ extracted this way may be more model dependent than the ones extracted from the direct production of Higgs boson pairs.…”

Collider and gravitational wave complementarity in exploring the singlet extension of the standard model

“…[75](for other studies, see e.g. [78,[165][166][167][167][168][169][170]). Here the inner and outer bar regions denote the 68%CL and 95%CL results.…”