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.
Users
Please
log in to take part in the discussion (add own reviews or comments).