Analysis of some \(b\to c\tau\bar{\nu}_\tau\) decay modes beyond the standard model. (English) Zbl 1531.81248
Summary: The experimental results from BaBar, Belle, and LHCb direct us to look for various new physics scenarios beyond the standard model. The observed \(b\)-physics anomalies in the \(b\to c\tau^-\bar{\nu}_\tau\) transitions motivate the study of decays with similar quark-level transitions. In this work, we focus on these transitions, particularly examining the semileptonic \(b\)-baryon \(\Omega_b\to\Omega_c^{(\ast)} \tau^-\bar{\nu}_\tau\) and \(\Xi_b^\prime\to\Xi_c^\prime(\ast)\tau^- \bar{\nu}_\tau\) decay modes. We take into account the general effective Hamiltonian for \(b\to c\ell\bar{\nu}_\ell\) transitions which incorporates new physics contributions into the standard model. We explore the \(q^2\)-dependency of different observables, such as the differential branching fraction, ratio of branching fractions, forward-backward asymmetry, convexity parameter, and longitudinal polarization of the charged lepton, related to these decay processes in the standard model and beyond.
MSC:
| 81U90 | Particle decays |
| 81V22 | Unified quantum theories |
| 81T50 | Anomalies in quantum field theory |
| 60J35 | Transition functions, generators and resolvents |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81V15 | Weak interaction in quantum theory |
| 81V35 | Nuclear physics |
| 70H05 | Hamilton’s equations |
| 60J85 | Applications of branching processes |
| 16S85 | Associative rings of fractions and localizations |
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