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Rare Semileptonic \(b \rightarrow d \mu ^+ \mu ^- \) Transitions and Effects of \(Z^\prime \) in the 331 Model

  • Soram Robertson SinghEmail author
  • Barilang Mawlong
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 234)

Abstract

We study the rare semileptonic \(B \rightarrow \rho \mu ^+ \mu ^-\) decay mediated by \(b \rightarrow d \mu ^+ \mu ^- \) transition. Differential branching ratio, longitudinal lepton polarization and forward-backward asymmetry of \(B \rightarrow \rho \mu ^+ \mu ^-\) are analyzed within the Standard Model in the low \(q^2\) region. We study the effects of \(Z^\prime \) in the 331 or \(SU_{C}(3)\times SU_{L}(3)\times U_{X}(1)\) model on this decay mode by varying the model parameter \(\beta \) at \(M_{Z^\prime }=1,~ 3 \ \mathrm{TeV}\). The couplings of \(Z^\prime \) are constrained by flavor observables of \(B_\mathrm{d}-\bar{B}_\mathrm{d}\) mixing. We find that the observables of interest are sensitive to \(Z^\prime \) effects and we observe deviations from the SM for some values of \(\beta \).

Notes

Acknowledgements

S. Robertson Singh would like to acknowledge the financial support from DST(Inspire), Government of India.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of PhysicsUniversity of HyderabadHyderabadIndia

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