Abstract
The discovery of a non-zero rate for a lepton flavor violating decay mode of the Higgs boson would definitely be an indication of New Physics. We review the prospects for such signal in Two Higgs Doublet Models, in particular for Higgs boson decays into $\tau \mu$ final states. We will show that this scenario contains all the necessary ingredients to provide large flavor violating rates and still be compatible with the stringent limits from direct searches and low-energy flavor experiments.
Highlights
The discovery of the Higgs boson in 2012 at the LHC by the ATLAS and CMS collaborations constitutes a historical milestone for particle physics and another brilliant triumph for the Standard Model (SM)
In this mini-review we have discussed Higgs lepton flavor violating decays, such as h → lilj, in the context of the general 2HDM. After motivating this scenario with some modelindependent considerations, we have explicitly shown that the 2HDM can allow for large HLFV rates while being in perfect agreement with the experimental constraints at low and high energies
The first tension comes from existing measurements of the Higgs boson couplings to fermions and gauge bosons, which already place bounds on the parameter that controls the mixing between the two CP-even scalars in the model, sin(β − α)
Summary
The discovery of the Higgs boson in 2012 at the LHC by the ATLAS and CMS collaborations constitutes a historical milestone for particle physics and another brilliant triumph for the Standard Model (SM) With this long-awaited completion of the SM particle spectrum, it stands as one of the most successful theories ever built, providing precise predictions for a wide range of particle physics phenomena, in good agreement with a large amount of experimental results at low and high energies. New degrees of freedom coupling to the SM leptons and the Higgs boson could induce non-zero lepton flavor violating (LFV) Higgs boson decays, such as h → lilj with i = j, a common feature in many models with extended scalar or lepton sectors The observation of these processes, strictly forbidden in the SM, would provide a clear hint of NP at work.
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