Minimal Models of Loop-Induced Higgs Lepton Flavor Violation

Abstract

The LHC has recently reported a slight excess in the $h\to \tau \mu$ channel. If this lepton flavor violating (LFV) decay is confirmed, an extension of the Standard Model (SM) will be required to explain it. In this paper we investigate two different possibilities to accommodate such a LFV process: the first scenario is based on flavor off-diagonal $A$-terms in the Minimal Supersymmetric Standard Model (MSSM), and the second is a model where the Higgs couples to new vectorlike fermions that couple to the SM leptons through a LFV four fermion interaction. In the supersymmetric model, we find that the sizes of the $A$-terms needed to accommodate the $h\to \tau \mu$ excess are in conflict with charge- and color-breaking vacuum constraints. In the second model, the excess can be successfully explained while satisfying all other flavor constrains, with order one couplings, vectorlike fermion masses as low as 15 TeV, and a UV scale higher than 35 TeV.

23 pages, 9 figures, 1 table; v2: references added, discussion on renormalized A-term diagrams added, clarifying comments on two Higgs doublet model added

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Cited by in corpus (12)

• A $L_{\mu }-L_{\tau }$ theory of Higgs flavor violation and $(g-2{)}_{\mu }$
• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• Flavor techniques for LFV processes: Higgs decays in a general seesaw model
• Unified resolution of the $R(D)$ and $R(D^{\ast })$ anomalies and the lepton flavor violating decay $h\to \mu \tau$
• Constraining Lepton Flavor Violating Higgs Couplings at the HL-LHC in the Vector Boson Fusion Channel
• Higgs boson decays with lepton flavor violation in the $B-L$ symmetric SSM
• Lepton flavor violating Higgs decay at $e^{+}{e}^{-}$ colliders
• The Two Scales of New Physics in Higgs Couplings
• Dark sectors and enhanced $h\to \tau \mu$ transitions
• Flavor violating leptonic decays of the Higgs boson
• The General One-loop Structure for the LFV Higgs Decays $H_r\to l_a{l}_b$ in multi-Higgs Models with Neutrino Masses
• $Z$ boson decays $Z\to {l_i}^{\pm }{l_j}^{\mp }$ and Higgs boson decays $h\to {l_i}^{\pm }{l_j}^{\mp }$ with lepton flavor violation in a $U(1)$ extension of the MSSM