Abstract
We consider a fifth force to be an interaction that couples to matter with a strength that grows with the number of atoms. In addition to competing with the strength of gravity a fifth force can give rise to violations of the equivalence principle. Current long range constraints on the strength and range of fifth forces are very impressive. Amongst possible fifth forces are those that couple to lepton flavorful charges L e − L μ or L e − L τ . They have the property that their range and strength are also constrained by neutrino interactions with matter. In this brief note we review the existing constraints on the allowed parameter space in gauged \( \mathrm{U}{(1)}_{L_e-{L}_{\mu },{L}_{\tau }} \). We find two regions where neutrino oscillation experiments are at the frontier of probing such a new force. In particular, there is an allowed range of parameter space where neutrino matter interactions relevant for long baseline oscillation experiments depend on the depth of the neutrino beam below the surface of the earth.
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References
L. Wolfenstein, Neutrino Oscillations in Matter, Phys. Rev. D 17 (1978) 2369 [INSPIRE].
S.P. Mikheev and A.Yu. Smirnov, Resonance Amplification of Oscillations in Matter and Spectroscopy of Solar Neutrinos, Sov. J. Nucl. Phys. 42 (1985) 913 [INSPIRE].
J.A. Grifols and E. Masso, Neutrino oscillations in the sun probe long range leptonic forces, Phys. Lett. B 579 (2004) 123 [hep-ph/0311141] [INSPIRE].
A.S. Joshipura and S. Mohanty, Constraints on flavor dependent long range forces from atmospheric neutrino observations at Super-Kamiokande, Phys. Lett. B 584 (2004) 103 [hep-ph/0310210] [INSPIRE].
Super-Kamiokande collaboration, G. Mitsuka et al., Study of Non-Standard Neutrino Interactions with Atmospheric Neutrino Data in Super-Kamiokande I and II, Phys. Rev. D 84 (2011) 113008 [arXiv:1109.1889] [INSPIRE].
T. Ohlsson, Status of non-standard neutrino interactions, Rept. Prog. Phys. 76 (2013) 044201 [arXiv:1209.2710] [INSPIRE].
M.C. Gonzalez-Garcia and M. Maltoni, Determination of matter potential from global analysis of neutrino oscillation data, JHEP 09 (2013) 152 [arXiv:1307.3092] [INSPIRE].
D.J. Kapner et al., Tests of the gravitational inverse-square law below the dark-energy length scale, Phys. Rev. Lett. 98 (2007) 021101 [hep-ph/0611184] [INSPIRE].
E.J. Salumbides, W. Ubachs and V.I. Korobov, Bounds on fifth forces at the sub-Angstrom length scale, J. Molec. Spectrosc. 300 (2014) 65 [arXiv:1308.1711] [INSPIRE].
S. Schlamminger, K.Y. Choi, T.A. Wagner, J.H. Gundlach and E.G. Adelberger, Test of the equivalence principle using a rotating torsion balance, Phys. Rev. Lett. 100 (2008) 041101 [arXiv:0712.0607] [INSPIRE].
M. Baryakhtar, R. Lasenby and M. Teo, Black Hole Superradiance Signatures of Ultralight Vectors, Phys. Rev. D 96 (2017) 035019 [arXiv:1704.05081] [INSPIRE].
S.A. Teukolsky, The Kerr Metric, Class. Quant. Grav. 32 (2015) 124006 [arXiv:1410.2130] [INSPIRE].
Y. Hochberg et al., Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials, Phys. Rev. D 97 (2018) 015004 [arXiv:1708.08929] [INSPIRE].
V. Brdar, J. Kopp, J. Liu, P. Prass and X.-P. Wang, Fuzzy dark matter and nonstandard neutrino interactions, Phys. Rev. D 97 (2018) 043001 [arXiv:1705.09455] [INSPIRE].
J. Jaeckel and A. Ringwald, The Low-Energy Frontier of Particle Physics, Ann. Rev. Nucl. Part. Sci. 60 (2010) 405 [arXiv:1002.0329] [INSPIRE].
R. Essig et al., Working Group Report: New Light Weakly Coupled Particles, in proceedings of 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013), Minneapolis, MN, U.S.A., July 29-August 6, 2013 [arXiv:1311.0029] [INSPIRE].
K.S. Babu, A. Friedland, P.A.N. Machado and I. Mocioiu, Flavor Gauge Models Below the Fermi Scale, JHEP 12 (2017) 096 [arXiv:1705.01822] [INSPIRE].
M.B. Wise and Y. Zhang, Effective Theory and Simple Completions for Neutrino Interactions, Phys. Rev. D 90 (2014) 053005 [arXiv:1404.4663] [INSPIRE].
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Wise, M.B., Zhang, Y. Lepton flavorful fifth force and depth-dependent neutrino matter interactions. J. High Energ. Phys. 2018, 53 (2018). https://doi.org/10.1007/JHEP06(2018)053
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DOI: https://doi.org/10.1007/JHEP06(2018)053