Proton decay: flipped vs. unflipped SU(5)

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Springer

Received: March 12, Revised: April 11, Accepted: April 19, Published: May 6,

2020 2020 2020 2020

Proton decay: flipped vs. unflipped SU(5)

a

Theoretical Particle Physics and Cosmology Group, Department of Physics, King’s College London, London WC2R 2LS, United Kingdom b Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland c National Institute of Chemical Physics and Biophysics, R¨ avala 10, 10143 Tallinn, Estonia d Instituto de F´ısica Te´ orica (IFT) UAM-CSIC, Campus de Cantoblanco, 28049, Madrid, Spain e Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113–0033, Japan f George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843, U.S.A. g Astroparticle Physics Group, Houston Advanced Research Center (HARC), Mitchell Campus, Woodlands, TX 77381, U.S.A. h Academy of Athens, Division of Natural Sciences, Athens 10679, Greece i William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, U.S.A.

E-mail: [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We analyze nucleon decay modes in a no-scale supersymmetric flipped SU(5) GUT model, and contrast them with the predictions for proton decays via dimension-6 operators in a standard unflipped supersymmetric SU(5) GUT model. We find that these GUT models make very different predictions for the ratios Γ(p → π 0 µ+ )/Γ(p → π 0 e+ ), Γ(p → π + ν¯)/Γ(p → π 0 e+ ), Γ(p → K 0 e+ )/Γ(p → π 0 e+ ) and Γ(p → K 0 µ+ )/Γ(p → π 0 µ+ ), and that predictions for the ratios Γ(p → π 0 µ+ )/Γ(p → π 0 e+ ) and Γ(p → π + ν¯)/Γ(p → π 0 e+ ) also differ in variants of the flipped SU(5) model with normal- or inverse-ordered light neutrino masses. Upcoming large neutrino experiments may have interesting opportunities to explore both GUT and flavour physics in proton and neutron decays. Keywords: Supersymmetry Phenomenology ArXiv ePrint: 2003.03285

c The Authors. Open Access, Article funded by SCOAP3 .

https://doi.org/10.1007/JHEP05(2020)021

JHEP05(2020)021

John Ellis,a,b,c Marcos A.G. Garcia,d Natsumi Nagata,e Dimitri V. Nanopoulosf,g,h and Keith A. Olivei

Contents 1 Introduction

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2 The no-scale flipped SU(5) model

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3 Nucleon decay in flipped SU(5)

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5 Comparison of proton decay rates in flipped and unflipped SU(5) 5.1 Γ(p → π 0 µ+ )/Γ(p → π 0 e+ ) P + ¯ )/Γ(p → π 0 e+ ) 5.2 i i Γ(p → π ν 0 + 5.3 Γ(p → K e )/Γ(p → π 0 e+ ) 5.4 Γ(p → K 0 µ+ )/Γ(p → π 0 µ+ ) 5.5 p → K + ν¯

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6 Discussion and prospects

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1

Introduction

The advent of a new generation of high-mass underground neutrino detectors — JUNO [1], DUNE [2–4] and Hyper-Kamiokande [5] — will also open up new prospects for searches for proton (and neutron) decays into an array of channels with sensitivities an order of magnitude beyond current experiments. This motivates a re-evaluation of possible nucleon decay modes in different grand unified th