One Leptoquark to unify them? Neutrino masses and unification in the light of $(g-2{)}_{\mu }$, $R_{D^{(\star )}}$ and $R_K$ anomalies

Abstract

Leptoquarks have been proposed as a possible explanation of anomalies in $\bar{B}\mapsto D^{\ast }\tau \bar{\nu }$ decays, the apparent anomalies in $(g-2{)}_{\mu }$ experiments and a violation of lepton universality. Motivated by this, we examine other motivations of leptoquarks: radiatively induced neutrino masses in the presence of a discrete symmetry that prevents a tree level see-saw mechanism, gauge coupling unification, and vacuum stability at least up to the unification scale. We present a new model for radiatively generating a neutrino mass which can significantly improve gauge coupling unification at one loop. We discuss this, and other models in the light of recent work on flavour anomalies.

9 pages, 6 figures, journal version, added some discussion and equations

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• Reconsidering the One Leptoquark solution: flavor anomalies and neutrino mass
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• Getting chirality right: single scalar leptoquark solutions to the $(g-2{)}_{e,\mu }$ puzzle
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• QCD Improved Matching for Semi-Leptonic B Decays with Leptoquarks
• Combined Constraints on First Generation Leptoquarks
• Scalar Leptoquarks in Leptonic Processes
• Revisiting R-parity violating interactions as an explanation of the B-physics anomalies
• A Theory of $R(D^{\ast },D)$ Anomaly With Right-Handed Currents
• Unified SU(4) theory for the $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ anomalies
• Leptoquarks in Oblique Corrections and Higgs Signal Strength: Status and Prospects
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• Collider signature of $U_1$ Leptoquark and constraints from $b\to c$ observables
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• Minimal Radiative Neutrino Masses
• Phenomenology of TeV-scale scalar Leptoquarks in the EFT
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• Addendum to: Combined Constraints on First Generation Leptoquarks
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• The Muon Magnetic Moment and Physics Beyond the Standard Model
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• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• Neutrinoless Double Beta Decay from Scalar Leptoquarks: Interplay with Neutrino Mass and Flavor Physics
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• Electroweak couplings and LHC constraints on alternative $Z^{\prime }$ models in $E_6$
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• Gravitational wave signals from leptoquark-induced first order electroweak phase transitions
• Muon anomalous magnetic dipole moment in a low scale type I see-saw model
• Searching and identifying leptoquarks through low-energy polarized scattering processes $e^{-}p\to e^{-}{\Lambda }_c$
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• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations