Abstract

We consider the ratio of cross sections of double-to-single Higgs boson production at the Large Hadron Collider at 14 TeV. Since both processes possess similar higherorder corrections, leading to a cancellation of uncertainties in the ratio, this observable is well-suited to constrain the trilinear Higgs boson self-coupling. We consider the scale variation, parton density function uncertainties and conservative estimates of experimental uncertainties, applied to the viable decay channels, to construct expected exclusion regions. We show that the trilinear self-coupling can be constrained to be positive with a 600 fb−1 LHC dataset at 95% confidence level. Moreover, we demonstrate that we expect to obtain a ~ +30% and ~ −20% uncertainty on the self-coupling at 3000fb−1 without statistical fitting of differential distributions. The present article outlines the most precise method of determination of the Higgs trilinear coupling to date.

Highlights

  • We consider the ratio of cross sections of double-to-single Higgs boson production at the Large Hadron Collider at 14 TeV

  • The present article concentrates on using the results from the available phenomenological studies along with the best available theoretical cross section calculations and conservative estimates of the experimental uncertainties, to demonstrate the possibility of constraining the trilinear Higgs self-coupling at the LHC

  • The article is organised in the following way: in section 2 we dissect the Higgs boson production cross sections and in section 3 we examine the theoretical uncertainties on the ratio of cross sections of double-to-single Higgs production

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Summary

Dissection of the cross sections

The Higgs boson pair production cross section is dominated by gluon fusion, as is the single production cross section [41, 42]. We note that the above structure, and the different contributions to the cross section, can be modified if new physics that allows new resonances to run in the triangle and box loops (or adds new couplings, like an f f HH interaction) is present [48–. In the present article we will focus on the Standard Model itself, as well as scenarios where the possible higher-dimensional operators, induced by such new physics, are subdominant with respect to changes in the λ and yt couplings Examples of such scenarios would be models where a Higgs boson H mixes with another scalar S, like in Higgs Portal [54, 55] or Two-Higgs Doublets Models The pair production cross section of the SM-like Higgs boson H will get modified only by having a resonant effect in the s-channel diagram, due to the new scalar.. Even if the new scalar particle is observed, the measurement of the parameter λ will still be a meaningful and interesting question

Ratios of cross sections
Constraining the self-coupling
Variation with self-coupling and top quark Yukawa
Assumptions for experimental uncertainties
Deriving constraints
Findings
Conclusions
Full Text
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