Abstract
The non-observation of baryon number violation suggests that the scale of baryon-number violating interactions at zero temperature is comparable to the GUT scale. However, the pertinent measurements involve hadrons made of the first-generation quarks, such as protons and neutrons. One may therefore entertain the idea that new flavour physics breaks baryon number at a much lower scale, but only in the coupling to a third generation quark, leading to observable baryon-number violating b-hadron decay rates. In this paper we show that indirect constraints on the new physics scale ΛBNV from the existing bounds on the proton lifetime do not allow for this possibility. For this purpose we consider the three dominant proton decay channels p → \( {\ell}^{+}{\nu}_{\ell}\overline{\nu} \), p → \( {\pi}^{+}\overline{\nu} \) and p → π0ℓ+ mediated by a virtual bottom quark.
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Acknowledgments
We thank Vladimir Braun and Alejandro Ibarra for discussions. MB thanks the Galileo Galilei Institute for Theoretical Physics for hospitality and the INFN for support during the completion of this work. A.A.P. would like to thank the Excellence Cluster ORIGINS (funded by the Deutsche Forschungsgemeinschaft under Germany’s Excellence Strategy “EXC 2094” 390783311) for hospitality. GF thanks the Department of Physics and Astronomy of the University of South Carolina for hospitality during the initial phases of this project. This research was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Sino-German Collaborative Research Center TRR110 “Symmetries and the Emergence of Structure in QCD” (DFG Project-ID 196253076, NSFC Grant No. 12070131001, - TRR 110). A.A.P. was also supported in part by the DOE grant DE-SC0024357.
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Beneke, M., Finauri, G. & Petrov, A.A. Indirect constraints on third generation baryon number violation. J. High Energ. Phys. 2024, 90 (2024). https://doi.org/10.1007/JHEP09(2024)090
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DOI: https://doi.org/10.1007/JHEP09(2024)090