Speaker
Description
The quest for new physics beyond the Standard Model is boosted
by the recently observed deviation in the anomalous magnetic moments of
muon and electron from their respective theoretical prediction.
In the present work, we have proposed a suitable
extension of the minimal $L_{\mu}-L_{\tau}$ model to address
these two experimental results as the minimal
model is unable to provide any realistic solution. In our model,
a new Yukawa interaction involving first generation of leptons, a
singlet vector like fermion ($\chi^{\pm}$) and a scalar (either
an SU(2)$_{L}$ doublet $\Phi^\prime_2$ or a complex singlet
$\Phi^\prime_4$) provides the additional one loop contribution to
$a_{e}$ only on top of the usual contribution coming from the
$L_{\mu}-L_{\tau}$ gauge boson ($Z_{\mu\tau}$) to both electron
and muon. The judicious choice of $L_{\mu}-L_{\tau}$
charges to these new fields results in a strongly
interacting scalar dark matter in $\mathcal{O}({\rm MeV})$ range
after taking into account the bounds from relic density,
unitarity and self interaction. The freeze-out dynamics of dark matter
is greatly influenced by $3\rightarrow2$ scatterings
while the kinetic equilibrium with the SM bath is ensured by $2\rightarrow2$
scatterings with neutrinos where $Z_{\mu\tau}$ plays a pivotal role.
The detection of dark matter is possible directly through scatterings
with nuclei mediated by the SM $Z$ bosons. Moreover, our proposed model can
also be tested in the upcoming $e^+e^-$ colliders by searching
opposite sign di-electron and missing energy signal i.e. $e^{+} e^{-}
\rightarrow \chi^{+} \chi^{-} \rightarrow e^{+} e^{-} \cancel{E}_T$
at the final state.
| In-person participation | No |
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