Semi-leptonic three-body proton decay modes from light-cone sum rules

Abstract

Using light-cone sum rule techniques, we estimate the form factors which parametrise the hadronic matrix elements that are relevant for semi-leptonic three-body proton decays. The obtained form factors allow us to determine the differential rate for the decay of a proton ($p$) into a positron ($e^{+}$), a neutral pion (${\pi }^0$) and a graviton ($G$), which is the leading proton decay channel in the effective theory of gravitons and Standard Model particles (GRSMEFT). The sensitivity of existing and next-generation neutrino experiments in detecting the $p\to e^{+}{\pi }^{0}G$ signature is studied and the phenomenological implications of our computations for constraints on the effective mass scale that suppresses the relevant baryon-number violating GRSMEFT operator are discussed.

arXiv comment24 pages, 4 figures; v2: version published in JHEP

References in corpus (44)

• Neutrino Physics with JUNO
• New Developments in FeynCalc 9.0
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• FLAG Review 2019
• FeynCalc 9.3: New features and improvements
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Proton stability in grand unified theories, in strings, and in branes
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Letter of Intent: The Hyper-Kamiokande Experiment --- Detector Design and Physics Potential ---
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Comment on the heavy-->light form factors
• 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
• QCD Sum Rules for Skeptics
• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• Improved lattice computation of proton decay matrix elements
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Search for proton decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ with an enlarged fiducial volume in Super-Kamiokande I-IV
• A Precision Model Independent Determination of |Vub| from B -> pi e nu
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• Nucleon Decay Matrix Elements from Lattice QCD
• Analyticity, Shapes of Semileptonic Form Factors, and B to pi l nu
• Proton decay matrix elements with domain-wall fermions
• Effective Field Theory of Gravity to All Orders
• QCD analysis of bar p N -> gamma* pi in the scaling limit
• Proton decay matrix elements on the lattice
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Inclusive Nucleon Decay Searches as a Frontier of Baryon Number Violation
• Correlation Functions of Hadron Currents in the QCD Vacuum Calculated in Lattice QCD
• Nucleon distribution amplitudes and proton decay matrix elements on the lattice
• Enumerating higher-dimensional operators with on-shell amplitudes
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Condensates in Quantum Chromodynamics
• Quark-Hadron Duality
• Review of Nucleon Decay Searches at Super-Kamiokande
• Lattice QCD calculation of the proton decay matrix element in the continuum limit
• Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Testing QCD Sum Rule Techniques on the Lattice
• 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
• Light-cone sum rules for proton decay

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