Probing the quartic Higgs boson self-interaction

Abstract

The Higgs self-interactions play a crucial role in exploring the underlying mechanisms of electroweak symmetry breaking and the nature of the phase transition involved. In this article, we propose to probe the quartic Higgs self-interaction at lepton and hadron colliders, via the di-Higgs productions. We analyze the contributions of the quartic Higgs coupling, including the renormalization of the cubic Higgs coupling and the modification of the VVhh form factor, to the vector boson-fusion and the vector boson-associated di-Higgs productions at one-loop level. Such an effect is independent of the choice of gauge fixing, if the quartic Higgs coupling is decoupled from other couplings in the contexts considered. Notably, a combination of these two di-Higgs productions is important for optimizing the collider sensitivities to probe the quartic Higgs coupling. With this guideline, we explore the International Linear Collider and Compact Linear Collider sensitivities, and find that the International Linear Collider has the potential to measure the quartic Higgs coupling, normalized by its standard model value, with a precision of ∼ AE25 (500 GeV, 4 ab −1 þ 1 TeV, 2.5 ab −1) and ∼ AE20 (500 GeV, 4 ab −1 þ 1 TeV, 8 ab −1), at 1σ C:L:, after marginalizing the cubic Higgs coupling in the χ 2 analysis. The dependence on the renormalization scheme of the cubic Higgs coupling is discussed.

Higgs-pair production via gluon fusion at hadron colliders: NLO QCD corrections

“…Note that Higgs pair production will provide indirect constraints on the quartic Higgs coupling[22][23][24].…”

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

“…However we expect the two contours, taken from Ref. [79], to be largely unaffected since the heavier scalar contribution in their framework is suppressed by extra powers of s θ . We also expect that the bar regions, taken from Ref.…”

“…For example, Ref. [79] found a precision of measurement of ∼ ±25 for (500GeV, 4ab −1 + 1 TeV, 2.5ab −1 ) and ∼ ±20 11 The Lorentz structure of hW W coupling already gave us some insight about the nature of EW symmetry breaking at the leading order. Figure 10.…”

“…The brown solid and blue dashed lines are the 1σ contours for two different ILC scenarios taken from Ref. [79]. The bottom panel is a zoomed-in version of the top one.…”

“…The two elliptical 68%CL closed contours are taken from Ref. [79] which focuses on the quartic coupling, for two possible scenarios of the ILC. The bars are the precisions that can be reached from various considerations of future colliders, labelled on the right of the figure, taken from Ref.…”