Lepton Number Violation Higgs Decay at Muon Collider

TL;DR

This paper explores lepton number violation via Higgs decays in a scalar singlet extension of the type-I seesaw model, proposing muon collider signatures to probe heavy neutral lepton masses and mixing parameters.

Contribution

It introduces a novel analysis of lepton number violating Higgs decays at muon colliders within an extended seesaw framework, highlighting potential discovery channels.

Findings

Muon colliders can detect lepton number violation in Higgs decays.

Higgs mixing parameter sensitivity improves with collider energy and luminosity.

Large parameter space for heavy Higgs detection at TeV-scale muon colliders.

Abstract

In this paper, we consider the scalar singlet extension of type-I seesaw, where a scalar singlet $S$ and heavy neutral lepton $N$ are further introduced. The Majorana mass term of heavy neutral lepton is generated through the Yukawa interaction with the scalar singlet, which then induces the lepton number violation decays of SM Higgs $h$ and heavy Higgs $H$ via mixing of scalars. As a pathway to probe the origin of heavy neutral lepton mass, we investigate the lepton number violation Higgs decay signature at the TeV-scale muon collider. The dominant production channel of Higgs bosons at the TeV-scale muon collider is via vector boson fusion. So we perform a detailed analysis of the signal process $\mu^+\mu^-\to \nu_\mu \bar{\nu}_\mu h/H \to \nu_\mu \bar{\nu}_\mu NN $ followed by $ N \to \mu^\pm jj$, where the two jets from $W$ boson decay are treated as one fat-jet $J$. With an integrated luminosity of $1(10)~\text{ab}^{-1}$, the 3 (10) TeV muon collider could discover the lepton number violation SM Higgs decay $h\to \mu^\pm\mu^\pm JJ$ signature for the Higgs mixing parameter $\sin\alpha>0.05(0.009)$. Meanwhile, a large parameter space can be detected by the lepton number violation heavy Higgs decay $H\to \mu^\pm\mu^\pm JJ$ signature for $m_H\lesssim1 (3)$ TeV and $\sin\alpha\gtrsim0.03(0.005)$ at the 3 (10) TeV muon collider. Therefore, the lepton number violation SM and heavy Higgs decay signatures are both promising at the TeV scale muon collider.