Abstract
Baryon number is an accidental symmetry of the Standard Model at the Lagrangian level. Its violation is arguably one of the most compelling phenomena predicted by physics beyond the Standard Model. Furthermore, there is a large experimental effort to search for it including the Hyper-K, DUNE, JUNO, and THEIA experiments. Therefore, an agnostic, model-independent, analysis of baryon number violation using the power of Effective Field Theory is very timely. In particular, in this work we study the contribution of dimension six and seven effective operators to |∆(B − L)| = 0, 2 nucleon decays taking into account the effects of Renormalisation Group Evolution. We obtain lower limits on the energy scale of each operator and study the correlations between different decay modes. We find that for some operators the effect of running is very significant.
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Acknowledgments
We are grateful to Avelino Vicente, Martín González-Alonso, Luiz Vale Silva, Alberto Ramos, Tong Li, and Chang-Yuan Yao for useful discussions. We thank Julian Heeck for pointing out a wrong sign in eq. (2.25). The Feynman diagrams were generated using the TikZ-Feynman and TikZ-FeynHand packages for [86, 87]. MS acknowledges support by the Australian Research Council through the ARC Discovery Project DP200101470. JHG, AS, JG, and ABB are partially funded by the Spanish “Agencia Estatal de Investigación”, MICIN/AEI/10.13039/501100011033, through the grants PID2020-113334GB-I00, and in addition, JHG by PID2020-113644GB-I00 and by the “Consolidación Investigadora” Grant CNS2022-135592 and JG by the “Juan de la Cierva” programme reference FJC2021-048111-I, both funded also by “European Union NextGenerationEU/PRTR”. This research is also financed by the “Generalitat Valenciana”: JHG is also supported through the GenT Excellence Program (CIDEGENT/2020/020), AS is supported by the “PROMETEO” programme under grant CIPROM/2022/66, while ABB is funded by grant CIACIF/2021/061.
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Bas i Beneito, A., Gargalionis, J., Herrero-García, J. et al. An EFT approach to baryon number violation: lower limits on the new physics scale and correlations between nucleon decay modes. J. High Energ. Phys. 2024, 4 (2024). https://doi.org/10.1007/JHEP07(2024)004
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DOI: https://doi.org/10.1007/JHEP07(2024)004