Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle

Abstract

The decays of $\eta$ and ${\eta }^{\prime }$ mesons provide unique opportunities for testing the properties of low energy Quantum Chromodynamics and for the search of new physics beyond the Standard Model. However, recent experimental results on the rare decays of ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ cannot be self-consistently described by the combination of the Vector Meson Dominance and Linear Sigma Model employing the same set of parameters. We show that this tension can be attributed to the presence of a leptophobic dark photon $\mathcal{B}$, and find representative values of the parameters which provide consistent description of these three decays, simultaneously. Unlike existing strategies of Dalitz analysis searching for the bump at $m_{\mathcal{B}}$, we propose the usage of mismatch between these decays to constrain the parameters of the hypothetical dark photon.

References in corpus (70)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• A Theory of Dark Matter
• An effective field theory for collinear and soft gluons: heavy to light decays
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Dark Matter Self-interactions and Small Scale Structure
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Tests of the Gravitational Inverse-Square Law
• Secluded U(1) below the weak scale
• Astrophysical Signatures of Secluded Dark Matter
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Search for a dark photon in e+e- collisions at BABAR
• The Physics of the B Factories
• Observation of Anomalous Internal Pair Creation in ${}^8$Be: A Possible Signature of a Light, Neutral Boson
• Flavor Changing Effects in Theories with a Heavy Z' Boson with Family Non-Universal Couplings
• U-boson production in e+e- annihilations, psi and Upsilon decays, and Light Dark Matter
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Hylogenesis: A Unified Origin for Baryonic Visible Matter and Antibaryonic Dark Matter
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• Dark Matter and the Baryon Asymmetry
• Neutron scattering and extra short range interactions
• Search for a vector gauge boson in phi meson decays with the KLOE detector
• Solution to the B -> pi K Puzzle in a Flavor-Changing Z' Model
• REALISTIC MODELS WITH A LIGHT U(1) GAUGE BOSON COUPLED TO BARYON NUMBER
• Possible Light U(1) Gauge Boson Coupled to Baryon Number
• Coupling--mass mapping of di-jet peak searches
• New weakly-coupled forces hidden in low-energy QCD
• Leptophobic Dark Matter at Neutrino Factories
• Constraints on Light Dark Matter and U bosons, from psi, Upsilon, K+, pi0, eta and eta' decays
• Limit on the production of a new vector boson in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to \mathrm{U}\gamma$, U$\to {\pi }^{+}{\pi }^{-}$ with the KLOE experiment
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Deciphering the mechanism of near-threshold $J/\psi$ photoproduction
• Mixing of eta-eta' Mesons in J/psi Decays into a Vector and a Pseudoscalar Meson
• Baryonic Dark Matter
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Vector-meson production and vector meson dominance
• Baryonic $Z^{\prime }$ connection of LEP $R_{b,c}$ data with Tevatron $(W,Z,\gamma )b\bar{b}$ events
• B_s^0 - \bar{B}_s^0 Mixing in Leptophobic Z^\prime Model
• Radiative VPgamma transitions and eta-eta' mixing
• Limits on a Light Leptophobic Gauge Boson
• $\eta \to {\pi }^0\gamma \gamma$ decay within unitarized chiral perturbation theory
• Extracting Weak Phase Information from B -> V_1 V_2 Decays
• Screams for Explanation: Finetuning and Naturalness in the Foundations of Physics
• Combined limit on the production of a light gauge boson decaying into ${\mu }^{+}{\mu }^{-}$ and ${\pi }^{+}{\pi }^{-}$
• Unleashing the full power of LHCb to probe Stealth New Physics
• Explaining B \to K pi anomaly with non-universal Z' boson
• Is there a Vector Boson Coupling to Baryon Number?
• Protecting the Axion with Local Baryon Number
• Bounds on New Physics from B -> V1 V2 Decays
• The $\gamma \gamma \to {\pi }^0{\pi }^0$ and $\eta \to {\pi }^0\gamma \gamma$ Transitions in the Extended NJL Model
• A new measurement of the rare decay eta -> pi^0 gamma gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron
• B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime
• Further search for a neutral boson with a mass around 9 MeV/c2
• $\eta \to {\pi }^0\gamma \gamma$ decay within a chiral unitary approach revisited
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• Scalar and vector meson exchange in V->P0P0gamma decays
• $\gamma \gamma \to {\pi }^0{\pi }^0$ and $\eta \to {\pi }^0\gamma \gamma$ at low energy within the Extended Nambu Jona-Lasinio Model
• A theoretical analysis of the doubly radiative decays ${\eta }^{(\prime )}\to {\pi }^0\gamma \gamma$ and ${\eta }^{\prime }\to \eta \gamma \gamma$
• $\eta \to {\pi }^0\gamma \gamma$ decay in the three-flavor Nambu-Jona-Lasinio model
• $\gamma \gamma \to {\pi }^0{\pi }^0$ and $\eta \to {\pi }^0\gamma \gamma$ at $O(p^6)$ in the NJL model
• $\eta \to {\pi }^0\gamma \gamma$ and $\gamma \gamma \to {\pi }^0{\pi }^0$ in $O(p^6)$ chiral perturbation theory
• CP Asymmetries of $B\to \varphi K$ and $B\to {\eta }^{(\prime )}K$ Decays Using a Global Fit in QCD Factorization
• An Analysis of $B\to {\eta }^{\prime }K$ Decays Using a Global Fit in QCD Factorization
• Searching for new physics in the angular distribution of B^0 -> phi K^* decay
• Photoproduction of leptophobic bosons
• Neutron star structure with a new force between quarks
• Searching for possible evidences of new physics in $B\to V_1{V}_2$
• Corrections to the generalized vector dominance due to diffractive rho_3 production