On the Flavour Structure of Anomaly-free Hidden Photon Models

Abstract

Extensions of the Standard Model with an Abelian gauge group are constrained by gauge anomaly cancellation, so that only a limited number of possible charge assignments is allowed without the introduction of new chiral fermions. For flavour universal charges, couplings of the associated hidden photon to Standard Model fermions are flavour conserving at tree-level. We show explicitly that even the flavour specific charge assignments allowed by anomaly cancellation condition lead to flavour conserving tree-level couplings of the hidden photon to quarks and charged leptons \emph{if} the CKM or PMNS matrix can be successfully reconstructed. Further, loop-induced flavour changing couplings are strongly suppressed. As a consequence, the structure of the Majorana mass matrix is constrained and flavour changing tree-level couplings of the hidden photon to neutrino mass eigenstates are identified as a means to distinguish the $U(1{)}_{B-L}$ gauge boson from any other anomaly-free extension of the Standard Model without new chiral fermions. We present a comprehensive analysis of constraints and projections for future searches for a $U(1{)}_{B-3L_i}$ gauge boson, calculate the reach of resonance searches in $B$ meson decays and comment on the implications for non-standard neutrino interactions.

13 pages, 5 figures, 4 tables; v2: updated references, corrected COHERENT limit, matches published version

References in corpus (26)

• Secluded U(1) below the weak scale
• New Fixed-Target Experiments to Search for Dark Gauge Forces
• Search for a dark photon in e+e- collisions at BABAR
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Illuminating Dark Photons with High-Energy Colliders
• A new Generation of Standard Solar Models
• New Limits on Hidden Photons from Past Electron Beam Dumps
• A facility to Search for Hidden Particles (SHiP) at the CERN SPS
• Search for $A^{\prime }\to {\mu }^{+}{\mu }^{-}$ decays
• Probing Dark Forces and Light Hidden Sectors at Low-Energy e+e- Colliders
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Search for light massive gauge bosons as an explanation of the $(g-2{)}_{\mu }$ anomaly at MAMI
• Discovering New Light States at Neutrino Experiments
• Unbroken B-L Symmetry
• Search for invisible decays of sub-GeV dark photons in missing-energy events at the CERN SPS
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Muon g-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN
• Search for light vector boson production in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma$ interactions with the KLOE experiment
• Proton size anomaly
• Revising Limits on Neutrino-Majoron Couplings
• Detecting the $L_{\mu }-L_{\tau }$ gauge boson at Belle II
• Search for production of an invisible dark photon in ${\pi }^0$ decays
• Projections for Dark Photon Searches at Mu3e
• Discovering leptonic forces using non-conserved currents
• Probing Light Gauge Bosons in Tau Neutrino Experiments
• Technical Proposal: FASERnu

Cited by in corpus (3)

• Complementarity between dark matter direct searches and CE$\nu$NS experiments in $U(1{)}^{\prime }$ models
• A Consistent Theory of Kinetic Mixing and the Higgs Low-Energy Theorem
• A Robust Description of Hadronic Decays in Light Vector Mediator Models