Abstract
We present the comaprative study of semileptonic and leptonic decays of Ds, D± and D0 meson (D → Ml+αl−β, D → l+αl−β, D → l+αvα; α,β = e,μ) within the framework of R-parity violating the Minimal Supersymmetric Standard Model (MSSM). The comparison shows that combination and product couplings, contribution to the branching fractions of the said processes (under consideration) is consistent with or comparable to the experimental measurements in most of the cases. However, some cases exist where these contributions are highly suppressed. We identify such cases in our analysis and single out the important ones suitable for exploring in the future and current experiments.
Highlights
Flavor changing neutral current (FCNC) processes in the lepton sector are strictly forbidden in SM, undoubtly, a hint for new physics (NP), while on the other hand, FCNC processes in the quark sector play a dual role: one in the erection of the Standard Model (SM)
The GIM mechanism assures that there are no FCNC at the tree level and the leading contribution results through one loop diagram, where quarks could propagate in the loop and give tiny factor mq MW
Though R-parity (Rp =(−1)3B+L+2S) conserving the Minimal Supersymmetric Standard Model (MSSM) [15] is phenomenologically well motivated [18] even Rparity violating MSSM, if relaxed carefully, has rich phenomenological implications [19]. This version of supersymmetry avoids any adhocism and satisfies all conditions of good theory, i.e. gauge invariance, renormalizability and anomaly free. This theory naturally accomodates lepton and baryon number and flavour violating terms, all FCNC are accommodated at the tree level within R-parity violating MSSM [10] and it naturally provides the reason for significant enhancement in the branching fraction
Summary
Flavor changing neutral current (FCNC) processes in the lepton sector are strictly forbidden in SM, undoubtly, a hint for new physics (NP), while on the other hand, FCNC processes in the quark sector play a dual role: one in the erection of the Standard Model (SM). Though R-parity (Rp =(−1)3B+L+2S) conserving the Minimal Supersymmetric Standard Model (MSSM) [15] is phenomenologically well motivated [18] even Rparity violating MSSM, if relaxed carefully, has rich phenomenological implications [19] This version of supersymmetry avoids any adhocism and satisfies all conditions of good theory, i.e. gauge invariance, renormalizability and anomaly free. This theory naturally accomodates lepton and baryon number and flavour violating terms, all FCNC (rare and forbidden decays) are accommodated at the tree level within R-parity violating MSSM [10] and it naturally provides the reason for significant enhancement in the branching fraction. The R-parity violating gauge invariant and renormalizable superpotential is [18]
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