Consequences of R-parity violating interactions for anomalies in and

N. G. Deshpande; Xiao-Gang He

doi:10.1140/epjc/s10052-017-4707-y

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 134
https://doi.org/10.1140/epjc/s10052-017-4707-y

Regular Article - Theoretical Physics

Consequences of R-parity violating interactions for anomalies in ${\bar{B}}\rightarrow D^{(*)} \tau {\bar{\nu }}$ and $b\rightarrow s \mu ^+\mu ^-$

N. G. Deshpande¹ and Xiao-Gang He²^,3^,4^*

¹ Institute of Theoretical Science, University of Oregon, Eugene, OR, 97403, USA
² CTS, CASTS and Department of Physics, National Taiwan University, Taipei, 10617, Taiwan
³ National Center for Theoretical Sciences, Hsinchu, 300, Taiwan
⁴ INPAC, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China

^* e-mail: hexg@phys.ntu.edu.tw

Received: 30 November 2016
Accepted: 19 February 2017
Published online: 25 February 2017

Abstract

We investigate the possibility of explaining the enhancement in semileptonic decays of ${\bar{B}} \rightarrow D^{(*)} \tau {\bar{\nu }}$ , the anomalies induced by $b\rightarrow s\mu ^+\mu ^-$ in ${\bar{B}}\rightarrow (K, K^*, \phi )\mu ^+\mu ^-$ and violation of lepton universality in $R_K = \mathrm{Br}({\bar{B}}\rightarrow K \mu ^+\mu ^-)/\mathrm{Br}({\bar{B}}\rightarrow K e^+e^-)$ within the framework of R-parity violating MSSM. The exchange of down type right-handed squark coupled to quarks and leptons yields interactions which are similar to leptoquark induced interactions that have been proposed to explain the ${\bar{B}} \rightarrow D^{(*)} \tau {\bar{\nu }}$ by tree level interactions and $b\rightarrow s \mu ^+\mu ^-$ anomalies by loop induced interactions, simultaneously. However, the Yukawa couplings in such theories have severe constraints from other rare processes in B and D decays. Although this interaction can provide a viable solution to the $R(D^{(*)})$ anomaly, we show that with the severe constraint from ${\bar{B}} \rightarrow K \nu {\bar{\nu }}$ , it is impossible to solve the anomalies in the $b\rightarrow s \mu ^+\mu ^-$ process simultaneously.