Abstract
Motivated by several hints of lepton flavor universality (LFU) violation in \(b\to c\tau \bar {\nu }_{\tau }\) transitions, we investigate the baryonic semi-leptonic Ξb → \({\Xi }_{c} \tau \bar {\nu }_{\tau }\) decay in Supersymmetry with R-parity violation (RPV SUSY) model and \(W^{\prime }\) model. Using the parameter space of these two new physics (NP) models constrained from the up-to-date experimental data, we calculate the branching ratio \({\mathscr{B}}\left ({\Xi }_{b} \to {\Xi }_{c}\tau \bar {\nu }_{\tau }\right )\) and the integrated ratio \(R_{{\Xi }_{c}}\), and also show the effects of these two NP models on some observables, such as the differential branching ratio \(\frac {d{\mathscr{B}}}{dq^{2}}({\Xi }_{b} \to {\Xi }_{c}\tau \bar {\nu }_{\tau })\), the differential ratio \(R_{{\Xi }_{c}}\left (q^{2}\right )\), the lepton-side forward-backward asymmetry \(A_{FB}\left (q^{2}\right )\), the convexity parameter \(C_{F}^{\tau }\left (q^{2}\right )\), the longitudinal polarizations \(P_{L}^{\tau }\left (q^{2}\right )\) and \(P_{L}^{{\Xi }_{c}}\left (q^{2}\right )\). We find that: (i) Comparing the SM predictions, \({\mathscr{B}}({\Xi }_{b} \to {\Xi }_{c}\tau \bar {\nu }_{\tau })\) and \(R_{{\Xi }_{c}}\) can be enhanced by about 3σ level in the \(W^{\prime }\) model, respectively. (ii) Both \(\frac {d{\mathscr{B}}}{dq^{2}}({\Xi }_{b} \to {\Xi }_{c}\tau \bar {\nu }_{\tau })\) and \(R_{{\Xi }_{c}}\left (q^{2}\right )\) can be enhanced significantly by the \(W^{\prime }\) model effects, but for \(A_{FB}\left (q^{2}\right )\), \(C_{F}^{\tau }\left (q^{2}\right )\), \(P_{L}^{\tau }\left (q^{2}\right )\) and \(P_{L}^{{\Xi }_{c}}\left (q^{2}\right )\), these two NP models have no effects on these observables, since these two NP models do not generate new operators beyond the SM ones.
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Acknowledgments
S.W.Wang was supported by the Key laboratory of Quark and lepton Physics(CCNU), Ministry of Education (QLPL201605) and research projects of Henan science and technology committee (212300410378).
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Wang, SW. Ξb → \({\Xi }_{c} \tau \bar {\nu }_{\tau }\) Decay in New Physics Models. Int J Theor Phys 60, 982–993 (2021). https://doi.org/10.1007/s10773-021-04721-3
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DOI: https://doi.org/10.1007/s10773-021-04721-3