• DOI:10.1103/PhysRevD.99.035035
• Corpus ID: 119095081

Signatures of supersymmetry and a Lμ−Lτ gauge boson at Belle-II

@article{Banerjee2019SignaturesOS,
  title={Signatures of supersymmetry and a 
L$\mu$−L$\tau$
 gauge boson at Belle-II},
  author={Heerak Banerjee and Sourov Roy},
  journal={Physical Review D},
  year={2019}
}

• Heerak Banerjee, Sourov Roy
• Published 1 November 2018
• Physics
• Physical Review D

We propose that the $\gamma + E \hspace{-.5em}/\;\:$ signal at the Belle-II will be a smoking gun for supersymmetry (SUSY) in the presence of a gauged $U(1)_{L_{\mu}-L_{\tau}}$ symmetry. A striking consequence of breaking the enhanced symmetry in the limit of degenerate (s)leptons is the non-decoupling of the radiative contribution of heavy charged sleptons, appearing in SUSY, to the $\gamma - Z^\prime$ kinetic mixing. The signal process, $e^+ e^- \rightarrow \gamma Z^\prime \rightarrow \gamma + E \hspace{-.5em}/\;\:$, is an outcome of this ubiquitous feature. We take into account the severe constraints laid down on gauged $U(1)_{L_{\mu}-L_{\tau}}$ models by several low-energy observables and show that any significant excess in all but the highest photon energy bin would be an undeniable signature of such heavy scalar fields in SUSY coupling to $Z^\prime$. The number of signal events depends crucially on the logarithm of the ratio of stau to smuon mass in the presence of SUSY. In addition, the number is also inversely proportional to the $e^+-e^-$ collision energy, making a low-energy, high-luminosity collider like Belle-II an ideal testing ground for this channel. This process can probe large swathes of the slepton mass ratio vs the additional gauge coupling ($g_X$) parameter space. More importantly, it can explore the narrow slice of $M_{Z^{\prime}}-g_X$ parameter space still allowed in gauged $U(1)_{L_{\mu}-L_{\tau}}$ models for superheavy sparticles.