Higgs boson pair productions in the Georgi-Machacek model at the LHC

Abstract

Higgs bosons pair production is well known for its sensitivity to probing the sign and size of Higgs boson self coupling, providing a way to determine whether there is an extended Higgs sector. The Georgi-Machacek (GM) model extends the Standard Model (SM) with an $SU(2{)}_L$ triplet scalar field that has one real and one complex components. The Higgs self coupling now has a wider range than that in the SM, with even the possibility of a sign flip. The new heavy singlet Higgs boson $H_1^0$ can contribute to s-channel production of the $hh$ pairs. In this work, we study non-resonant/resonant Higgs boson pair productions $pp\to hh$ and $pp\to H_1^0\to hh$, focusing exclusively on the contribution of $H_1^0$. We show the sensitivity for Higgs boson pair production searches at the 13-TeV LHC with the luminosities of $3.2,30$ and $100$~fb${}^{-1}$.

22 pages, 17 figures

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