Exclusive semileptonic rare decays in a SUSY SO(10) GUT

Wen-Jun Li; Yuan-Ben Dai; Chao-Shang Huang

doi:10.1140/epjc/s2005-02132-2

EPJ

Exclusive semileptonic rare decays $B \to K^{(*)} l^ + l^-$ in a SUSY SO(10) GUT

Wen-Jun Li¹^,2^*, Yuan-Ben Dai¹ and Chao-Shang Huang¹

¹ Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, 100080, Beijing, China
² Graduate School of the Chinese Academy of Science, YuQuan Road 19A, 100039, Beijing, China

Abstract

In the SUSY SO(10) GUT context, we study the exclusive processes $B \to K^{(*)} l^ + l^-(l = \mu,\tau)$ . Using the Wilson coefficients of the relevant operators including the new operators $\smash{Q_{1,2}^{(\prime)}}$ which are induced by neutral Higgs boson (NHB) penguins, we evaluate some possible observables associated with these processes like the invariant mass spectrum (IMS), lepton pair forward-backward asymmetry (FBA), lepton polarization asymmetries etc. In this model the contributions from Wilson coefficients $C_{Q_{1,2}}^\prime$ , among new contributions, are dominant. Our results show that the NHB effects are sensitive to the FBA, $\mathrm {d}L/\mathrm {d}\hat{s}$ , and $\mathrm {d}T/\mathrm {d}\hat{s}$ of $B \to K^{(*)} \tau^ + \tau^-$ decay, which are expected to be measured in B factories, the deviation of $\mathrm {d}T/\mathrm {d}\hat{s}$ in $B \to K \mu^ + \mu^-$ can reach 0.1 from SM, which could be seen in B factories, and the average of the normal polarization $\mathrm {d}N/\mathrm {d}\hat{s}$ can reach several percent for $B \to K \mu^ + \mu^-$ and it is 0.05 or so for $B\to K \tau^ + \tau^-$ , which could be measured in the future super B factories and provide useful information to probe new physics and discriminate different models.

15th European Conference on Atoms Molecules and Photons (ECAMP)
June 30 to July 4, 2025
Innsbruck, Austria

EPJ

Exclusive semileptonic rare decays in a SUSY SO(10) GUT

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Exclusive semileptonic rare decays $B \to K^{(*)} l^ + l^-$ in a SUSY SO(10) GUT