Putting a Stop to di-Higgs Modifications

Batell, Brian; Verhaaren, Christopher B.; Stolarski, Daniel; McCullough, Matthew

doi:10.1007/JHEP09(2015)216

Article
Report number	arXiv:1508.01208 ; CERN-PH-TH-2015-186 ; CERN-PH-TH-2015-186
Title	Putting a Stop to di-Higgs Modifications
Author(s)	Batell, Brian (CERN) ; McCullough, Matthew (CERN) ; Stolarski, Daniel (CERN) ; Verhaaren, Christopher B. (Maryland U.)
Publication	2015-09-30
Imprint	05 Aug 2015
Number of pages	24
Note	Comments: 16 pages + refrences 16 pages + refrences; v2 updated references; v3 Published version
In:	JHEP 09 (2015) 216
DOI	10.1007/JHEP09(2015)216
Subject category	Particle Physics - Phenomenology
Abstract	Pair production of Higgs bosons at hadron colliders is an enticing channel to search for new physics. New colored particles that couple strongly to the Higgs, such as those most often called upon to address the hierarchy problem, provide well motivated examples in which large enhancements of the di-Higgs rate are possible, at least in principle. However, in such scenarios the di-Higgs production rate is tightly correlated with the single Higgs production rate and, since the latter is observed to be SM-like, one generally expects that only modest enhancements in di-Higgs production are allowed by the LHC Run 1 data. We examine the contribution of top squarks (stops) in a simplified supersymmetry model to di-Higgs production and find that this general expectation is indeed borne out. In particular, the allowed deviations are typically small, but there are tuned regions of parameter space where expectations based on EFT arguments break down in which order 100% enhancements to the di-Higgs production rate are possible and are simultaneously consistent with the observed single Higgs production rates. These effects are potentially observable with the high luminosity run of the LHC or at a future hadron collider.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2015-2024 The Author(s), © 2015-2024 The Author(s) (Licenses: CC-BY-4.0, CC-BY-4.0), sponsored by SCOAP³ preprint: © 2015-2024 CERN (License: CC-BY-4.0)

$Di-Higgs production cross section relative to the SM value as a function of $hGG$ coupling deviation in an EFT dominated by the leading dimension six operator (red, $\kappa_1^h$) computed in Sec.~\ref{sec:EFT}, and for heavy stops using the low energy theorem (blue, $\kappa_{\tilde t}^h$) computed in Sec.~\ref{sec:GenStopMod}. The coupling deviation $\kappa$ is taken in range $[-0.1,0.1]$ as suggested by the LHC Run 1 Higgs data.$ $Invariant mass spectrum for di-Higgs events at the LHC14. We show spectra for the SM, and the benchmark points: A) Both stops near the weak scale and current constraints satisfied, $m_1 = 325$ GeV, $m_2 = 500$ GeV, $\sin \theta = 0.4$, B) One stop heavy, current constraints satisfied and a large enhancement of di-Higgs production through tuning of the mixing angle, $m_1 = 200$ GeV, $m_2 = 1000$ GeV, $\sin \theta = 0.223$, C) One stop light and single Higgs production constraints \textit{not} satisfied, $m_1 = 150$ GeV, $m_2 = 1000$ GeV, $\sin \theta = 0$.$ $Percentage corrections to the single Higgs (red) and di-Higgs (black) production cross sections at $\sqrt{s} = 14$ TeV in a low energy bin with invariant masses $260 < m_{hh} < 350$ GeV (left) and a wide bin with $260 < m_{hh} < 2000$ GeV (right). For the wide energy bin the corrections fall below the benchmark sensitivity for all soft masses shown. Both stop soft masses are varied independently and the $A$-terms are set to zero. The masses on the axes are the physical masses of the left- and right-handed stops. Small differences between left and right-handed stops due to different $D$-term couplings can be seen. We also show blue contours of the approximate color-breaking vacuum constraint described in \Sec{sec:CCB}.$ Show more plots

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