Non-decoupling SUSY in LFV Higgs decays: a window to new physics at the LHC

Abstract

The recent discovery of a SM-like Higgs boson at the LHC, with a mass around 125-126 GeV, together with the absence of results in the direct searches for supersymmetry, is pushing the SUSY scale ($m_{\text{SUSY}}$) into the multi-TeV range. This discouraging situation from a low-energy SUSY point of view has its counterpart in indirect SUSY observables which present a non-decoupling behavior with $m_{\text{SUSY}}$. This is the case of the one-loop lepton flavor violating Higgs decay rates induced by SUSY, which are shown here to remain constant as $m_{\text{SUSY}}$ grows, for large $m_{\text{SUSY}}>$ 2 TeV values and for all classes of intergenerational mixing in the slepton sector, $LL$, $LR$, $RL$ and $RR$. In this work we focus on the LFV decays of the three neutral MSSM Higgs bosons $h$, $H$, $A\to \tau \mu$, considering the four types of slepton mixing (${\delta }_{23}^{LL}$, ${\delta }_{23}^{LR}$, ${\delta }_{23}^{RL}$, ${\delta }_{23}^{RR}$), and show that all the three channels could be measurable at the LHC, being $h\to \tau \mu$ the most promising one, with up to about hundred of events expected with the current LHC center-of-mass energy and luminosity. The most promising predictions for the future LHC stage are also included.

24 pages, 10 figures. v5: includes erratum 4 pages, 5 figures

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