# Enhanced Di-Higgs Production in the Two Higgs Doublet Model

## TL;DR

This paper demonstrates that di-Higgs production can be significantly enhanced in the two Higgs doublet model, introduces a new Yukawa coupling ansatz, and discusses implications for flavor physics and experimental tests.

## Contribution

It proposes a novel Yukawa coupling ansatz for two Higgs doublets and explores its implications for di-Higgs production and flavor constraints.

## Key findings

- Di-Higgs production rate can be increased by up to 25 times.
- The new Yukawa ansatz explains fermion masses and mixings.
- Predictions include observable effects in $ ext{BR}(
ightarrow e ext{ } ext{gamma})$ and $B_s$ mixing.

## 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 $Y_{ij}^{(a)} = C_{ij}^{(a)}\cdot {\rm min}\{m_i, \, m_j\}/v$, 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 $\mu \rightarrow e \gamma$ decay and new contributions to CP violation in $B_s-\overline{B}_s$ mixing are predicted to be close to the experimental limits.