Baryon-Number-Violating Nucleon and Dinucleon Decays in a Model with Large Extra Dimensions

Abstract

It is known that limits on baryon-violating nucleon decays do not, in general, imply corresponding suppression of $n-\bar{n}$ transitions. In the context of a model with fermions propagating in higher dimensions, we investigate a related question, namely the implications of limits on $\Delta L=-1$ proton and bound neutron decays mediated by four-fermion operators for rates of nucleon decays mediated by $k$-fermion operators with $k=6$ and $k=8$. These include a variety of nucleon and dinucleon decays to dilepton and trilepton final states with $\Delta L=-3,-2,1$, and $2$. We carry out a low-energy effective field theory analysis of relevant operators for these decays and show that, in this extra-dimensional model, the rates for these decays are strongly suppressed and hence are in accord with experimental limits.

29 pages, latex

References in corpus (8)

• Search for Proton Decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ in 0.31 megaton$\cdot$years exposure of the Super-Kamiokande Water Cherenkov Detector
• Simplified models with baryon number violation but no proton decay
• Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses
• Search for nucleon decay into charged antilepton plus meson in 0.316 megaton$\cdot$years exposure of the Super-Kamiokande water Cherenkov detector
• Search for dinucleon decay into pions at Super-Kamiokande
• Search for Trilepton Nucleon Decay via $p\to e^{+}\nu \nu$ and $p\to {\mu }^{+}\nu \nu$ in the Super-Kamiokande Experiment
• Improved Lower Bounds on Partial Lifetimes for Nucleon Decay Modes
• Two Nucleon (B-L)-Conserving Reactions Involving Tau Leptons

Cited by in corpus (4)

• Inclusive Nucleon Decay Searches as a Frontier of Baryon Number Violation
• Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions
• Using $\bar{p}p$ and $e^{+}{e}^{-}$ Annihilation Data to Refine Bounds on the Baryon-Number-Violating Dinucleon Decays $nn\to e^{+}{e}^{-}$ and $nn\to {\mu }^{+}{\mu }^{-}$
• $\Delta B=2$ neutron decay into antiproton mode $n\to \bar{p}{e}^{+}\nu (\bar{\nu })$