Enhanced Di-Higgs Production in the Two Higgs Doublet Model

Abstract

We show that the rate for di-Higgs production at the LHC can be enhanced by a factor as large as 25 compared to the Standard Model value in the two Higgs doublet model while being consistent with the known properties of the observed Higgs boson $h$. There are correlated modifications in $t\overline{t}h$ and resonant $Zh$ production rates, which can serve as tests of this model. Our framework treats both Higgs doublets on equal footing, each with comparable Yukawa couplings to fermions. The Cheng-Sher ansatz for multi-Higgs doublet model is shown to be strongly disfavored by current experiments. We propose a new ansatz for the Yukawa couplings of the Higgs doublets ${\Phi }_a$ is proposed, where $Y_{ij}^{(a)}=C_{ij}^{(a)}\cdot \min \{m_i,m_j\}/v$, with $C_{ij}^{(a)}$ being order one coefficients, $m_i$ the mass of fermion $i$ and $v$ the electroweak vacuum expectation value. Such a pattern of couplings can explain the observed features of fermion masses and mixings and satisfies all flavor violation constraints arising from the exchange of neutral Higgs bosons. The rate for $\mu \to e\gamma$ decay and new contributions to CP violation in $B_s-{\overline{B}}_s$ mixing are predicted to be close to the experimental limits.

47 pages, 15 figures, published version in JHEP

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