### 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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