Searching for hadronic scale baryonic and dark forces at $(g-2{)}_{\mu }$'s lattice-vs-dispersion front

Abstract

The anomalous magnetic moment of the muon ($a_{\mu }$) provides a stringent test of the quantum nature of the Standard Model (SM) and its extensions. To probe beyond the SM physics, one needs to be able to subtract the SM contributions, which consists of a non-perturbative part, namely, the hadronic vacuum polarization (HVP) of the photon. The state of the art is to predominantly use two different methods to extract this HVP: lattice computation, and dispersion relation-based, data-driven method. Thus one can construct different forms of the ``$a_{\mu }$ test" which compares the precise measurement of $a_{\mu }$ to its theory prediction. Additionally, this opens the possibility for another subtle test, where these two ``theory" predictions themselves are compared against each other, which is denoted as the ``HVP-test". This test is particularly sensitive to hadronic scale new physics. Therefore, in this work, we consider a SM extension consisting of a generic, light $\sim (100\mathrm{MeV}-1\mathrm{GeV})$ vector boson and study its impact on both tests. We develop a comprehensive formalism for this purpose. We find that in the case of data-driven HVP being used in the $a_{\mu }$ test, the new physics contributions effectively cancels for a flavor-universal vector boson. As an illustration of these general results, we consider two benchmark models: i)~the dark photon ($A^{\prime }$) and ii)~a gauge boson coupled to baryon-number ($B$). Using a combination of these tests, we are able to constrain the parameter space of $B$ and $A^{\prime }$, complementarily to the existing limits. As a spin-off, our preliminary analysis of the spectrum of invariant mass of $3\pi$ in events with ISR at the $B-$ factories (BaBar, Belle) manifests the value of such a study in searching for $B\to 3\pi$ decay, thus motivating a dedicated search by experimental collaborations.

arXiv comment21 pages + 3 appendices, 11 figures + 17 appendix figures. v2: Matches version accepted by JHEP, excluded parameter space shifted, discussion extended

References in corpus (31)

• A Theory of Dark Matter
• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Secluded U(1) below the weak scale
• Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair Energies at LEP
• New Fixed-Target Experiments to Search for Dark Gauge Forces
• RS1, Custodial Isospin and Precision Tests
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Serendipity in dark photon searches
• Search for $A^{\prime }\to {\mu }^{+}{\mu }^{-}$ decays
• Vector Correlators in Lattice QCD: methods and applications
• The muon $g$-2 and $\Delta \alpha$ connection
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Inclusive Dark Photon Search at LHCb
• The muon g-2 and the bounds on the Higgs boson mass
• Possible Light U(1) Gauge Boson Coupled to Baryon Number
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• New weakly-coupled forces hidden in low-energy QCD
• Lepton flavor universality violation without new sources of quark flavor violation
• Fermionic extensions of the Standard Model in light of the Higgs couplings
• Limits on a Light Leptophobic Gauge Boson
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• New physics behind the new muon $g$-2 puzzle?
• The Anomalous Case of Axion EFTs and Massive Chiral Gauge Fields
• Light vectors coupled to anomalous currents with harmless Wess-Zumino terms
• A Custodial Symmetry for Muon g-2
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Photoproduction of leptophobic bosons
• Dark Sector first results at Belle II