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A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model

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(Jul 27, 2015)

Abstract

The BaBar, Belle, and LHCb collaborations have reported evidence for new physics in \$BD\tau\nu\$ and \$BD^*\tau\nu\$ of approximately \$3.8\sigma\$. There is also the long lasting discrepancy of about \$3\sigma\$ in the anomalous magnetic moment of the muon, and the branching ratio for \$\tau\to\mu\nu\nu\$ is \$1.8\sigma\$ (\$2.4\sigma\$) above the Standard Model expectation using the HFAG (PDG) values. Furthermore, CMS found hints for a non-zero decay rate of \$h\to\mu\tau\$. Interestingly, all these observations can be explained by introducing new scalars. In this article we consider these processes within a lepton-specific two-Higgs doublet model (i.e. of type X) with additional non-standard Yukawa couplings. It is found that one can accommodate \$\tau\to\mu\nu\nu\$ with modified Higgs--\$\tau\$ couplings. The anomalous magnetic moment of the muon can be explained if the additional neutral CP-even Higgs \$H\$ is light (below 100 GeV). Also \$R(D)\$ and \$R(D^*)\$ can be easily explained by additional \$t\$--\$c\$--Higgs couplings. Combining these \$t\$--\$c\$ couplings with a light \$H\$ the decay rate for \$tH c\$ can be in a testable range for the LHC. Effects in \$h\to\mu\tau\$ are also possible, but in this case a simultaneous explanation of the anomalous magnetic moment of the muon is difficult due to the unavoidable \$\tau\to\mu\gamma\$ decay.

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