$\Delta L=3$ processes: Proton decay and LHC

Abstract

We discuss lepton number violation in three units. From an effective field theory point of view, $\Delta L=3$ processes can only arise from dimension 9 or higher operators. These operators also violate baryon number, hence many of them will induce proton decay. Given the high dimensionality of these operators, in order to have a proton half-life in the observable range, the new physics associated to $\Delta L=3$ processes should be at a scale as low as 1 TeV. This opens up the possibility of searching for such processes not only in proton decay experiments but also at the LHC. In this work we analyze the relevant $d=9,11,13$ operators which violate lepton number in three units. We then construct one simple concrete model with interesting low- and high-energy phenomenology.

8 pages, 5 figures, Published Version

References in corpus (3)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Search for Trilepton Nucleon Decay via $p\to e^{+}\nu \nu$ and $p\to {\mu }^{+}\nu \nu$ in the Super-Kamiokande Experiment
• Three-generation baryon and lepton number violation at the LHC

Cited by in corpus (17)

• Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory
• Inclusive Nucleon Decay Searches as a Frontier of Baryon Number Violation
• Seesaw Dirac neutrino mass through dimension-6 operators
• Characters and Group Invariant Polynomials of (Super)fields: Road to "Lagrangian"
• Proton decay and light sterile neutrinos
• Effective Operator Bases for Beyond Standard Model Scenarios: An EFT compendium for discoveries
• Proton decay at 1-loop
• Long-lived heavy particles in neutrino mass models
• $\Delta L\ge 4$ processes
• The role of residual symmetries in dark matter stability and the neutrino nature
• Decay dynamics of $N\to \ell \pi$ and $N\to \ell \gamma$
• New chiral structures for baryon number violating nucleon decays
• Invisible neutron decay and light BSM particles
• Lepton flavor violation by three units
• Triple-leptoquark interactions for tree- and loop-level proton decays
• One-loop proton decay from Peccei-Quinn symmetry
• Theory and phenomenology of Dirac neutrinos