Abstract
Motivated by the long-lasting 3.5σ discrepancy in the anomalous magnetic moment of muon, we consider a new muon-specific force mediated by a light gauge boson, X, with mass mX < 2mμ and the coupling constant gX ∼ (10−4, 10−3) . We show that the Belle II experiment has a robust chance to probe such a light boson in e+e− → μ+μ− + X channel and cover the most interesting parameter space explaining the discrepancy with the planned target luminosity, \( \int dt\ \mathcal{L}=50\ {\mathrm{ab}}^{-1} \). The clean signal of muon-pair plus missing energy at Belle II can be a smoking gun for the new gauge boson. We expect that the (invisibly decaying) muon-philic light (mX ≲ 2mμ) gauge boson can be probed down to gX ≲ 1.5 × 10−4(4.6 × 10−4, 2.3 × 10−4) for 50 (1, 10) ab−1 search.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
Y. Hamada, H. Kawai, K.Y. Oda and S.C. Park, Higgs inflation is still alive after the results from BICEP2, Phys. Rev. Lett.112 (2014) 241301 [arXiv:1403.5043] [INSPIRE].
Y. Hamada, H. Kawai, K.Y. Oda and S.C. Park, Higgs inflation from standard model criticality, Phys. Rev.D 91 (2015) 053008 [arXiv:1408.4864] [INSPIRE].
RBC, UKQCD collaboration, Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, Phys. Rev. Lett.121 (2018) 022003 [arXiv:1801.07224] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
Muon g-2 collaboration, Precise measurement of the positive muon anomalous magnetic moment, Phys. Rev. Lett.86 (2001) 2227 [hep-ex/0102017] [INSPIRE].
Muon g-2 collaboration, Measurement of the negative muon anomalous magnetic moment to 0.7 ppm, Phys. Rev. Lett.92 (2004) 161802 [hep-ex/0401008] [INSPIRE].
T. Moroi, The muon anomalous magnetic dipole moment in the minimal supersymmetric standard model, Phys. Rev.D 53 (1996) 6565 [Erratum ibid.D 56 (1997) 4424] [hep-ph/9512396] [INSPIRE].
M. Pospelov, Secluded U(1) below the weak scale, Phys. Rev.D 80 (2009) 095002 [arXiv:0811.1030] [INSPIRE].
A. Czarnecki and W.J. Marciano, The muon anomalous magnetic moment: a harbinger for ‘new physics’, Phys. Rev.D 64 (2001) 013014 [hep-ph/0102122] [INSPIRE].
S.C. Park and J.H. Song, Phenomenology of the heavy BH in a littlest Higgs model, Phys. Rev.D 69 (2004) 115010 [hep-ph/0306112] [INSPIRE].
S.C. Park and H.S. Song, Muon anomalous magnetic moment and the stabilized Randall-Sundrum scenario, Phys. Lett.B 506 (2001) 99 [hep-ph/0103072] [INSPIRE].
F. Jegerlehner and A. Nyffeler, The muon g − 2, Phys. Rept.477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
M. Battaglieri et al., US cosmic visions: new ideas in dark matter 2017: community report, arXiv:1707.04591 [INSPIRE].
G. Mohlabeng, Revisiting the dark photon explanation of the muon anomalous magnetic moment, Phys. Rev.D 99 (2019) 115001 [arXiv:1902.05075] [INSPIRE].
Belle-II collaboration, Belle II technical design report, arXiv:1011.0352 [INSPIRE].
Belle-II collaboration, The Belle II experiment, Nucl. Part. Phys. Proc.260 (2015) 233 [INSPIRE].
BaBar collaboration, Search for a dark photon in e+e−collisions at BaBar, Phys. Rev. Lett.113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
BaBar collaboration, Search for invisible decays of a dark photon produced in e+e−collisions at BaBar, Phys. Rev. Lett.119 (2017) 131804 [arXiv:1702.03327] [INSPIRE].
Y. Kaneta and T. Shimomura, On the possibility of a search for the Lμ − Lτgauge boson at Belle-II and neutrino beam experiments, PTEP2017 (2017) 053B04 [arXiv:1701.00156] [INSPIRE].
T. Araki, S. Hoshino, T. Ota, J. Sato and T. Shimomura, Detecting the Lμ − Lτgauge boson at Belle II, Phys. Rev.D 95 (2017) 055006 [arXiv:1702.01497] [INSPIRE].
Y. Kahn, G. Krnjaic, N. Tran and A. Whitbeck, M3: a new muon missing momentum experiment to probe (g − 2)μand dark matter at Fermilab, JHEP09 (2018) 153 [arXiv:1804.03144] [INSPIRE].
J.A. Dror, R. Lasenby and M. Pospelov, New constraints on light vectors coupled to anomalous currents, Phys. Rev. Lett.119 (2017) 141803 [arXiv:1705.06726] [INSPIRE].
J.A. Dror, R. Lasenby and M. Pospelov, Dark forces coupled to nonconserved currents, Phys. Rev.D 96 (2017) 075036 [arXiv:1707.01503] [INSPIRE].
L3 collaboration, Search for new physics in energetic single photon production in e+e−annihilation at the Z resonance, Phys. Lett.B 412 (1997) 201 [INSPIRE].
Belle collaboration, Search forB → hν ν̄ decays with semileptonic tagging at Belle, Phys. Rev.D 96 (2017) 091101 [arXiv:1702.03224] [INSPIRE].
E949 collaboration, New measurement of the K+ → π+ νν̄ branching ratio, Phys. Rev. Lett.101 (2008) 191802 [arXiv:0808.2459] [INSPIRE].
CHARM collaboration, Search for axion like particle production in 400 GeV proton-copper interactions, Phys. Lett.B 157 (1985) 458.
J. Blümlein and J. Brunner, New exclusion limits on dark gauge forces from proton Bremsstrahlung in beam-dump data, Phys. Lett.B 731 (2014) 320 [arXiv:1311.3870] [INSPIRE].
J. Blumlein and J. Brunner, New exclusion limits for dark gauge forces from beam-dump data, Phys. Lett.B 701 (2011) 155 [arXiv:1104.2747] [INSPIRE].
S.N. Gninenko, Constraints on sub-GeV hidden sector gauge bosons from a search for heavy neutrino decays, Phys. Lett.B 713 (2012) 244 [arXiv:1204.3583] [INSPIRE].
P. Foldenauer, Light dark matter in a gauged U(1) Lμ − Lτmodel, Phys. Rev.D 99 (2019) 035007 [arXiv:1808.03647] [INSPIRE].
C.D. Carone and H. Murayama, Possible light U(1) gauge boson coupled to baryon number, Phys. Rev. Lett.74 (1995) 3122 [hep-ph/9411256] [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Neutrino trident production: a powerful probe of new physics with neutrino beams, Phys. Rev. Lett.113 (2014) 091801 [arXiv:1406.2332] [INSPIRE].
CCFR collaboration, Neutrino tridents and W Z interference, Phys. Rev. Lett.66 (1991) 3117 [INSPIRE].
G. Krnjaic, G. Marques-Tavares, D. Redigolo and K. Tobioka, Probing muonic forces and dark matter at kaon factories, arXiv:1902.07715 [INSPIRE].
C.-W. Chiang and P.-Y. Tseng, Probing a dark photon using rare leptonic kaon and pion decays, Phys. Lett.B 767 (2017) 289 [arXiv:1612.06985] [INSPIRE].
BaBar collaboration, Search for a muonic dark force at BABAR, Phys. Rev.D 94 (2016) 011102 [arXiv:1606.03501] [INSPIRE].
A. Kamada and H.-B. Yu, Coherent propagation of PeV neutrinos and the dip in the neutrino spectrum at IceCube, Phys. Rev.D 92 (2015) 113004 [arXiv:1504.00711] [INSPIRE].
A. Kamada, K. Kaneta, K. Yanagi and H.-B. Yu, Self-interacting dark matter and muon g − 2 in a gauged U(1) Lμ − Lτmodel, JHEP06 (2018) 117 [arXiv:1805.00651] [INSPIRE].
M. Escudero, D. Hooper, G. Krnjaic and M. Pierre, Cosmology with a very light Lμ − Lτgauge boson, JHEP03 (2019) 071 [arXiv:1901.02010] [INSPIRE].
C.-H. Chen and T. Nomura, Lμ − Lτgauge-boson production from lepton flavor violating τ decays at Belle II, Phys. Rev.D 96 (2017) 095023 [arXiv:1704.04407] [INSPIRE].
H. Banerjee and S. Roy, Signatures of supersymmetry and Lμ –Lτ gauge bosons at Belle-II, Phys. Rev.D 99 (2019) 035035 [arXiv:1811.00407] [INSPIRE].
M. Bauer, P. Foldenauer and J. Jaeckel, Hunting all the hidden photons, JHEP07 (2018) 094 [arXiv:1803.05466] [INSPIRE].
H.K. Dreiner, J.-F. Fortin, J. Isern and L. Ubaldi, White dwarfs constrain dark forces, Phys. Rev.D 88 (2013) 043517 [arXiv:1303.7232] [INSPIRE].
T.R. Slatyer, Indirect dark matter signatures in the cosmic dark ages. I. Generalizing the bound on s-wave dark matter annihilation from Planck results, Phys. Rev.D 93 (2016) 023527 [arXiv:1506.03811] [INSPIRE].
M. Ciafaloni, P. Ciafaloni and D. Comelli, Towards collinear evolution equations in electroweak theory, Phys. Rev. Lett.88 (2002) 102001 [hep-ph/0111109] [INSPIRE].
P. Ciafaloni and D. Comelli, Electroweak evolution equations, JHEP11 (2005) 022 [hep-ph/0505047] [INSPIRE].
P. Ciafaloni et al., Weak corrections are relevant for dark matter indirect detection, JCAP03 (2011) 019 [arXiv:1009.0224] [INSPIRE].
DELPHES 3 collaboration, DELPHES 3, a modular framework for fast simulation of a generic collider experiment, JHEP02 (2014) 057 [arXiv:1307.6346] [INSPIRE].
Belle-II collaboration, Detectors for extreme luminosity: Belle II, Nucl. Instrum. Meth.A 907 (2018) 46 [INSPIRE].
BaBar collaboration, J/ψ production via initial state radiation in e+e− → μ+μ−γ at an e+e−center-of-mass energy near 10.6 GeV, Phys. Rev.D 69 (2004) 011103 [hep-ex/0310027] [INSPIRE].
S. Banerjee, B. Pietrzyk, J.M. Roney and Z. Was, Tau and muon pair production cross-sections in electron-positron annihilations at \( \sqrt{S}=10.58 \)GeV, Phys. Rev.D 77 (2008) 054012 [arXiv:0706.3235] [INSPIRE].
F. Scheck, Muon physics, Phys. Rept.44 (1978) 187 [INSPIRE].
OPAL collaboration, Measurement of the Michel parameters in leptonic τ decays, Eur. Phys. J.C 8 (1999) 3 [hep-ex/9808016] [INSPIRE].
K. Hagiwara, T. Li, K. Mawatari and J. Nakamura, TauDecay: a library to simulate polarized τ decays via FeynRules and MadGraph5, Eur. Phys. J.C 73 (2013) 2489 [arXiv:1212.6247] [INSPIRE].
A. Alloul et al., FeynRules 2.0 — A complete toolbox for tree-level phenomenology, Comput. Phys. Commun.185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
J. Alwall et al., MadGraph 5: going beyond, JHEP06 (2011) 128 [arXiv:1106.0522] [INSPIRE].
Belle-II collaboration, The belle II physics book, arXiv:1808.10567 [INSPIRE].
S.N. Gninenko, N.V. Krasnikov and V.A. Matveev, Muon g − 2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN, Phys. Rev.D 91 (2015) 095015 [arXiv:1412.1400] [INSPIRE].
P. Ballett et al., Z’ s in neutrino scattering at DUNE, Phys. Rev.D 100 (2019) 055012 [arXiv:1902.08579] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1904.13053
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Jho, Y., Kwon, Y., Park, S.C. et al. Search for muon-philic new light gauge boson at Belle II. J. High Energ. Phys. 2019, 168 (2019). https://doi.org/10.1007/JHEP10(2019)168
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2019)168