Abstract
We provide a novel explanation to the muon g − 2 excess with new physics contributions at the two-loop level. In this scenario, light millicharged particles are introduced to modify the photon vacuum polarization that contributes to muon g − 2 at one additional loop. The muon g − 2 excess can be explained with the millicharged particle mass mχ around 10 MeV and the product of the multiplicity factor and millicharge squared of Nχε2 ∼ 10−3. The minimal model faces severe constraints from direct searches at fixed-target experiments and astrophysical observables. However, if the millicharged particles are also charged under a hidden confining gauge group SU(Nχ) with a confinement scale of MeV, hidden-sector hadrons are unstable and can decay into neutrinos, which makes this scenario consistent with existing constraints. This explanation can be well tested at low-energy lepton colliders such as BESIII and Belle II as well as other proposed fixed-target experiments.
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References
Muon g-2 collaboration, Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
A. Keshavarzi, D. Nomura and T. Teubner, Muon g − 2 and \( \alpha \left({M}_Z^2\right) \): a new data-based analysis, Phys. Rev. D 97 (2018) 114025 [arXiv:1802.02995] [INSPIRE].
Muon g-2 collaboration, Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm, Phys. Rev. Lett. 126 (2021) 141801 [arXiv:2104.03281] [INSPIRE].
R. Balkin et al., Custodial symmetry for muon g-2, Phys. Rev. D 104 (2021) 053009 [arXiv:2104.08289] [INSPIRE].
K. Hagiwara, A. D. Martin, D. Nomura and T. Teubner, Predictions for g-2 of the muon and \( {\alpha}_{QED}\left({M}_Z^2\right) \), Phys. Rev. D 69 (2004) 093003 [hep-ph/0312250] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g − 2 and \( \alpha \left({m}_Z^2\right) \) using newest hadronic cross-section data, Eur. Phys. J. C 77 (2017) 827 [arXiv:1706.09436] [INSPIRE].
G. Colangelo, M. Hoferichter and P. Stoffer, Two-pion contribution to hadronic vacuum polarization, JHEP 02 (2019) 006 [arXiv:1810.00007] [INSPIRE].
M. Hoferichter, B.-L. Hoid and B. Kubis, Three-pion contribution to hadronic vacuum polarization, JHEP 08 (2019) 137 [arXiv:1907.01556] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to \( \alpha \left({m}_Z^2\right) \), Eur. Phys. J. C 80 (2020) 241 [Erratum ibid. 80 (2020) 410] [arXiv:1908.00921] [INSPIRE].
T. Aoyama et al., The anomalous magnetic moment of the muon in the Standard Model, Phys. Rept. 887 (2020) 1 [arXiv:2006.04822] [INSPIRE].
S. Borsányi et al., Leading hadronic contribution to the muon magnetic moment from lattice QCD, Nature 593 (2021) 51 [arXiv:2002.12347] [INSPIRE].
L. B. Okun, M. B. Voloshin and V. I. Zakharov, Electrical neutrality of atoms and grand unification models, Phys. Lett. B 138 (1984) 115 [INSPIRE].
B. Holdom, Two U(1)′s and Epsilon Charge Shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
R. Foot, H. Lew and R. R. Volkas, Electric charge quantization, J. Phys. G 19 (1993) 361 [Erratum ibid. 19 (1993) 1067] [hep-ph/9209259] [INSPIRE].
H. H. Elend, On the anomalous magnetic moment of the muon, Phys. Lett. 20 (1966) 682.
M. Passera, The Standard model prediction of the muon anomalous magnetic moment, J. Phys. G 31 (2005) R75 [hep-ph/0411168] [INSPIRE].
M. Passera, Precise mass-dependent QED contributions to leptonic g-2 at order α2 and α3, Phys. Rev. D 75 (2007) 013002 [hep-ph/0606174] [INSPIRE].
R. H. Parker, C. Yu, W. Zhong, B. Estey and H. Müller, Measurement of the fine-structure constant as a test of the Standard Model, Science 360 (2018) 191 [arXiv:1812.04130] [INSPIRE].
A. Crivellin, M. Hoferichter, C. A. Manzari and M. Montull, Hadronic Vacuum Polarization: (g − 2)μ versus Global Electroweak Fits, Phys. Rev. Lett. 125 (2020) 091801 [arXiv:2003.04886] [INSPIRE].
S. Davidson and M. E. Peskin, Astrophysical bounds on millicharged particles in models with a paraphoton, Phys. Rev. D 49 (1994) 2114 [hep-ph/9310288] [INSPIRE].
S. Davidson, S. Hannestad and G. Raffelt, Updated bounds on millicharged particles, JHEP 05 (2000) 003 [hep-ph/0001179] [INSPIRE].
BaBar collaboration, A Search for Invisible Decays of the ϒ(1S), Phys. Rev. Lett. 103 (2009) 251801 [arXiv:0908.2840] [INSPIRE].
S. Davidson, B. Campbell and D. C. Bailey, Limits on particles of small electric charge, Phys. Rev. D 43 (1991) 2314 [INSPIRE].
BaBar collaboration, Search for Invisible Decays of a Light Scalar in Radiative Transitions υ3S → γ A0, in 34th International Conference on High Energy Physics, Philadelphia U.S.A. (2008) [arXiv:0808.0017] [INSPIRE].
Z. Liu and Y. Zhang, Probing millicharge at BESIII via monophoton searches, Phys. Rev. D 99 (2019) 015004 [arXiv:1808.00983] [INSPIRE].
J. Liang, Z. Liu, Y. Ma and Y. Zhang, Millicharged particles at electron colliders, Phys. Rev. D 102 (2020) 015002 [arXiv:1909.06847] [INSPIRE].
NA64 collaboration, Search for invisible decays of sub-GeV dark photons in missing-energy events at the CERN SPS, Phys. Rev. Lett. 118 (2017) 011802 [arXiv:1610.02988] [INSPIRE].
D. Banerjee et al., Dark matter search in missing energy events with NA64, Phys. Rev. Lett. 123 (2019) 121801 [arXiv:1906.00176] [INSPIRE].
A. A. Prinz et al., Search for millicharged particles at SLAC, Phys. Rev. Lett. 81 (1998) 1175 [hep-ex/9804008] [INSPIRE].
G. Magill, R. Plestid, M. Pospelov and Y.-D. Tsai, Millicharged particles in neutrino experiments, Phys. Rev. Lett. 122 (2019) 071801 [arXiv:1806.03310] [INSPIRE].
R. Harnik, Z. Liu and O. Palamara, Millicharged Particles in Liquid Argon Neutrino Experiments, JHEP 07 (2019) 170 [arXiv:1902.03246] [INSPIRE].
ArgoNeuT collaboration, Improved Limits on Millicharged Particles Using the ArgoNeuT Experiment at Fermilab, Phys. Rev. Lett. 124 (2020) 131801 [arXiv:1911.07996] [INSPIRE].
R. Plestid, V. Takhistov, Y.-D. Tsai, T. Bringmann, A. Kusenko and M. Pospelov, New Constraints on Millicharged Particles from Cosmic-ray Production, Phys. Rev. D 102 (2020) 115032 [arXiv:2002.11732] [INSPIRE].
C. A. Argüelles Delgado, K. J. Kelly and V. Muñoz Albornoz, Millicharged Particles from the Heavens: Single- and Multiple-Scattering Signatures, arXiv:2104.13924 [INSPIRE].
S. L. Dubovsky, D. S. Gorbunov and G. I. Rubtsov, Narrowing the window for millicharged particles by CMB anisotropy, JETP Lett. 79 (2004) 1 [hep-ph/0311189] [INSPIRE].
J. H. Chang, R. Essig and S. D. McDermott, Supernova 1987A Constraints on Sub-GeV Dark Sectors, Millicharged Particles, the QCD Axion, and an Axion-like Particle, JHEP 09 (2018) 051 [arXiv:1803.00993] [INSPIRE].
G. D. Kribs and E. T. Neil, Review of strongly-coupled composite dark matter models and lattice simulations, Int. J. Mod. Phys. A 31 (2016) 1643004 [arXiv:1604.04627] [INSPIRE].
NA48/2 collaboration, Search for the dark photon in π0 decays, Phys. Lett. B 746 (2015) 178 [arXiv:1504.00607] [INSPIRE].
L. Doria, P. Achenbach, M. Christmann, A. Denig and H. Merkel, Dark Matter at the Intensity Frontier: the new MESA electron accelerator facility, PoS ALPS2019 (2020) 022 [arXiv:1908.07921] [INSPIRE].
M. Fabbrichesi, E. Gabrielli and G. Lanfranchi, The Dark Photon, arXiv:2005.01515 [INSPIRE].
S. Andreas, C. Niebuhr and A. Ringwald, New Limits on Hidden Photons from Past Electron Beam Dumps, Phys. Rev. D 86 (2012) 095019 [arXiv:1209.6083] [INSPIRE].
NA64 collaboration, Improved limits on a hypothetical X(16.7) boson and a dark photon decaying into e+ e− pairs, Phys. Rev. D 101 (2020) 071101 [arXiv:1912.11389] [INSPIRE].
HPS collaboration, Search for a dark photon in electroproduced e+ e− pairs with the Heavy Photon Search experiment at JLab, Phys. Rev. D 98 (2018) 091101 [arXiv:1807.11530] [INSPIRE].
G. D. Kribs, T. S. Roy, J. Terning and K. M. Zurek, Quirky Composite Dark Matter, Phys. Rev. D 81 (2010) 095001 [arXiv:0909.2034] [INSPIRE].
E. D. Kovetz, V. Poulin, V. Gluscevic, K. K. Boddy, R. Barkana and M. Kamionkowski, Tighter limits on dark matter explanations of the anomalous EDGES 21 cm signal, Phys. Rev. D 98 (2018) 103529 [arXiv:1807.11482] [INSPIRE].
J. Kang, M. A. Luty and S. Nasri, The Relic abundance of long-lived heavy colored particles, JHEP 09 (2008) 086 [hep-ph/0611322] [INSPIRE].
WHOT-QCD collaboration, Phase structure of finite temperature QCD in the heavy quark region, Phys. Rev. D 84 (2011) 054502 [Erratum ibid. 85 (2012) 079902] [arXiv:1106.0974] [INSPIRE].
P. Asadi, E. D. Kramer, E. Kuflik, G. W. Ridgway, T. R. Slatyer and J. Smirnov, Thermal Squeezeout of Dark Matter, arXiv:2103.09827 [INSPIRE].
NANOGrav collaboration, Searching For Gravitational Waves From Cosmological Phase Transitions With The NANOGrav 12.5-year dataset, arXiv:2104.13930 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
J. H. Kühn and M. Steinhauser, A Theory driven analysis of the effective QED coupling at M(Z), Phys. Lett. B 437 (1998) 425 [hep-ph/9802241] [INSPIRE].
C. Sturm, Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED, Nucl. Phys. B 874 (2013) 698 [arXiv:1305.0581] [INSPIRE].
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, Heavy quark vacuum polarization to three loops, Phys. Lett. B 371 (1996) 93 [hep-ph/9511430] [INSPIRE].
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, Three loop polarization function and \( O\left({\alpha}_S^2\right) \) corrections to the production of heavy quarks, Nucl. Phys. B 482 (1996) 213 [hep-ph/9606230] [INSPIRE].
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, Heavy quark current correlators to \( O\left({\alpha}_S^2\right) \), Nucl. Phys. B 505 (1997) 40 [hep-ph/9705254] [INSPIRE].
A. Keshavarzi, D. Nomura and T. Teubner, g − 2 of charged leptons, \( \alpha \left({M}_Z^2\right) \), and the hyperfine splitting of muonium, Phys. Rev. D 101 (2020) 014029 [arXiv:1911.00367] [INSPIRE].
V. Mathieu, N. Kochelev and V. Vento, The Physics of Glueballs, Int. J. Mod. Phys. E 18 (2009) 1 [arXiv:0810.4453] [INSPIRE].
P. B. Mackenzie and G. P. Lepage, QCD Corrections to the Gluonic Width of the Upsilon Meson, Phys. Rev. Lett. 47 (1981) 1244 [INSPIRE].
V. A. Novikov, L. B. Okun, M. A. Shifman, A. I. Vainshtein, M. B. Voloshin and V. I. Zakharov, Charmonium and Gluons: Basic Experimental Facts and Theoretical Introduction, Phys. Rept. 41 (1978) 1.
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Bai, Y., Lee, S.J., Son, M. et al. Muon g − 2 from millicharged hidden confining sector. J. High Energ. Phys. 2021, 19 (2021). https://doi.org/10.1007/JHEP11(2021)019
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DOI: https://doi.org/10.1007/JHEP11(2021)019