Study of Rare Mesonic Decays Involving Di-Neutrinos in Their Final State

Azeem Mir,Shakeel Mahmood,Shi- Hai Dong,Farida Tahir

doi:10.1155/2018/4176840

Abstract

We have studied phenomenological implication of R-parity violating (Rp) Minimal Supersymmetric Model (MSSM) via analyses of pure leptonic (M→νν¯) and semileptonic decays of pseudoscalar mesons (M→Xνν¯). These analyses involve comparison between theoretical predictions made by Rp MSSM and the Standard Model (SM) with the experimental results like branching fractions (Br) of the said process. We have found, in general, that Rp contribution dominates over the SM contribution, i.e., by a factor of 10 for the pure leptonic decays of KL,S and by 102 and 104 in case of Bs and Bd, respectively. Furthermore, the limits obtained on Rp Yukawa couplings (λαkβ′λαkγ′⁎) by using Br (M→Xνν¯) are used to calculate Br (M→νν¯). This demonstrates the role of Rp MSSM as a viable model for the study of new physics contribution in rare decays at places like Super B factories, KOTO (J-PARC) and NA62 at CERN.

Highlights

Flavor Changing Neutral Currents (FCNC) that mediate different flavored fermions of the same charge are one of the most important tools searching for physics beyond the Standard Model (SM)
FCNC processes involving leptons are strictly forbidden in SM due to lepton family number conservation contrary to established experimental facts [2,3,4,5,6,7,8,9,10,11,12,13], and such processes can only be accommodated through physics beyond the SM
We have carried out study of hypercharge changing two and three body decay processes of pseudoscalar mesons (M 󳨀→ X]α]α; M 󳨀→ ]α]α), where M = K, B; α = e, μ, τ and X = π, K

Summary

Introduction

Flavor Changing Neutral Currents (FCNC) that mediate different flavored fermions (quarks) of the same charge are one of the most important tools searching for physics beyond the Standard Model (SM). We have presented one class of such type of pure leptonic and semileptonic decays of pseudoscalar mesons involving di-neutrinos in their final state in the framework of SM and R-parity violating (Rp) supersymmetric (SUSY) model. R-parity, a discrete symmetry, is Advances in High Energy Physics imposed to prevent baryon number, lepton number, and flavor violating processes. It is defined as Rp = (−1)3B+L+2S [42, 48, 49]. The form factor fp(q2) is given by [66], mB represents the mass of beauty meson and ml is the mass of lepton

Results and Discussions

Summary and Conclusion

Conflicts of Interest