[Submitted on 3 Feb 2023] (cross-list from hep-ph)
Rescattering effects in nucleon-to-meson form factors and application to tau-lepton-induced proton decay
Andreas Crivellin🇨🇭 · Martin Hoferichter🇨🇭
Nucleon decays put extremely stringent bounds on baryon-number-violating interactions. However, in case the corresponding operators involve only leptons, the direct two-body decays, e.g., , are kinematically not allowed and nucleon decay can only proceed via an off-shell , leading to . To calculate such processes, the momentum dependence of the form factors for nucleon-to-meson transitions, which describe the hadronization of the underlying process at the quark level, is needed. In this work, we point out new isospin and Fierz relations among such proton-kaon matrix elements and calculate the momentum dependence of the nucleon-to-meson form factors from the universal final-state interactions in terms of pion-nucleon or kaon-nucleon scattering phase shifts. We use these results to derive novel limits on the Wilson coefficients of the baryon-number-violating dimension- operators involving a lepton, which were previously unconstrained.
- Comments:
- 8 pages, 3 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2302.01939 [pdf]