Abstract
The mass and weak interaction eigenstates for the quarks of the third generation are very well aligned, an empirical fact for which the Standard Model offers no explanation. We explore the possibility that this alignment is due to an additional gauge symmetry in the third generation. Specifically, we construct and analyze an explicit, renormalizable model with a gauge boson, X, corresponding to the B − L symmetry of the third family. Having a relatively light (in the MeV to multi-GeV range), flavor-nonuniversal gauge boson results in a variety of constraints from different sources. By systematically analyzing 20 different constraints, we identify the most sensitive probes: kaon, B+, D+ and Upsilon decays, \( D-{\overline{D}}^0 \) mixing, atomic parity violation, and neutrino scattering and oscillations. For the new gauge coupling g X in the range (10−2−10−4) the model is shown to be consistent with the data. Possible ways of testing the model in b physics, top and Z decays, direct collider production and neutrino oscillation experiments, where one can observe nonstandard matter effects, are outlined. The choice of leptons to carry the new force is ambiguous, resulting in additional phenomenological implications, such as non-universality in semileptonic bottom decays. The proposed framework provides interesting connections between neutrino oscillations, flavor and collider physics.
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M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory, Reading, U.S.A., Addison-Wesley (1995), pg. 842 [INSPIRE].
D.J. Gross and R. Jackiw, Effect of anomalies on quasirenormalizable theories, Phys. Rev. D 6 (1972) 477 [INSPIRE].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703] [INSPIRE].
R.E. Marshak and R.N. Mohapatra, Quark-Lepton Symmetry and B-L as the U(1) Generator of the Electroweak Symmetry Group, Phys. Lett. B 91 (1980) 222 [INSPIRE].
F. Wilczek and A. Zee, Conservation or Violation of B-L in Proton Decay, Phys. Lett. B 88 (1979) 311 [INSPIRE].
R.N. Mohapatra and R.E. Marshak, Local B-L Symmetry of Electroweak Interactions, Majorana Neutrinos and Neutron Oscillations, Phys. Rev. Lett. 44 (1980) 1316 [Erratum ibid. 44 (1980) 1643] [INSPIRE].
A.E. Nelson and J. Walsh, Short Baseline Neutrino Oscillations and a New Light Gauge Boson, Phys. Rev. D 77 (2008) 033001 [arXiv:0711.1363] [INSPIRE].
R. Harnik, J. Kopp and P.A.N. Machado, Exploring nu Signals in Dark Matter Detectors, JCAP 07 (2012) 026 [arXiv:1202.6073] [INSPIRE].
B. Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
F. Wilczek and A. Zee, Horizontal Interaction and Weak Mixing Angles, Phys. Rev. Lett. 42 (1979) 421 [INSPIRE].
T. Appelquist and R. Shrock, Neutrino masses in theories with dynamical electroweak symmetry breaking, Phys. Lett. B 548 (2002) 204 [hep-ph/0204141] [INSPIRE].
T. Appelquist and R. Shrock, Dynamical symmetry breaking of extended gauge symmetries, Phys. Rev. Lett. 90 (2003) 201801 [hep-ph/0301108] [INSPIRE].
X.-G. He, G.C. Joshi, H. Lew and R.R. Volkas, Simplest Z′ model, Phys. Rev. D 44 (1991) 2118 [INSPIRE].
S. Baek, N.G. Deshpande, X.G. He and P. Ko, Muon anomalous g-2 and gauged L μ − L τ models, Phys. Rev. D 64 (2001) 055006 [hep-ph/0104141] [INSPIRE].
E. Ma, D.P. Roy and S. Roy, Gauged L μ − L τ with large muon anomalous magnetic moment and the bimaximal mixing of neutrinos, Phys. Lett. B 525 (2002) 101 [hep-ph/0110146] [INSPIRE].
E. Salvioni, A. Strumia, G. Villadoro and F. Zwirner, Non-universal minimal Z’ models: present bounds and early LHC reach, JHEP 03 (2010) 010 [arXiv:0911.1450] [INSPIRE].
J. Heeck and W. Rodejohann, Gauged L μ − L τ Symmetry at the Electroweak Scale, Phys. Rev. D 84 (2011) 075007 [arXiv:1107.5238] [INSPIRE].
K. Harigaya, T. Igari, M.M. Nojiri, M. Takeuchi and K. Tobe, Muon g-2 and LHC phenomenology in the L μ − L τ gauge symmetric model, JHEP 03 (2014) 105 [arXiv:1311.0870] [INSPIRE].
C.D. Carone, Flavor-Nonuniversal Dark Gauge Bosons and the Muon g-2, Phys. Lett. B 721 (2013) 118 [arXiv:1301.2027] [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Quark flavor transitions in L μ − L τ models, Phys. Rev. D 89 (2014) 095033 [arXiv:1403.1269] [INSPIRE].
Y. Farzan, A model for large non-standard interactions of neutrinos leading to the LMA-Dark solution, Phys. Lett. B 748 (2015) 311 [arXiv:1505.06906] [INSPIRE].
Y. Farzan and I.M. Shoemaker, Lepton Flavor Violating Non-Standard Interactions via Light Mediators, JHEP 07 (2016) 033 [arXiv:1512.09147] [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: An Effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
L. Wolfenstein, Neutrino Oscillations in Matter, Phys. Rev. D 17 (1978) 2369 [INSPIRE].
J.W.F. Valle, Resonant Oscillations of Massless Neutrinos in Matter, Phys. Lett. B 199 (1987) 432 [INSPIRE].
E. Roulet, MSW effect with flavor changing neutrino interactions, Phys. Rev. D 44 (1991) R935 [INSPIRE].
M.M. Guzzo, A. Masiero and S.T. Petcov, On the MSW effect with massless neutrinos and no mixing in the vacuum, Phys. Lett. B 260 (1991) 154 [INSPIRE].
M.C. Gonzalez-Garcia, Y. Grossman, A. Gusso and Y. Nir, New CP-violation in neutrino oscillations, Phys. Rev. D 64 (2001) 096006 [hep-ph/0105159] [INSPIRE].
N. Fornengo, M. Maltoni, R. Tomas and J.W.F. Valle, Probing neutrino nonstandard interactions with atmospheric neutrino data, Phys. Rev. D 65 (2002) 013010 [hep-ph/0108043] [INSPIRE].
S. Davidson, C. Pena-Garay, N. Rius and A. Santamaria, Present and future bounds on nonstandard neutrino interactions, JHEP 03 (2003) 011 [hep-ph/0302093] [INSPIRE].
A. Friedland, C. Lunardini and C. Pena-Garay, Solar neutrinos as probes of neutrino matter interactions, Phys. Lett. B 594 (2004) 347 [hep-ph/0402266] [INSPIRE].
A. Friedland and C. Lunardini, A test of tau neutrino interactions with atmospheric neutrinos and K2K, Phys. Rev. D 72 (2005) 053009 [hep-ph/0506143] [INSPIRE].
S. Antusch, J.P. Baumann and E. Fernandez-Martinez, Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model, Nucl. Phys. B 810 (2009) 369 [arXiv:0807.1003] [INSPIRE].
M.B. Gavela, D. Hernandez, T. Ota and W. Winter, Large gauge invariant non-standard neutrino interactions, Phys. Rev. D 79 (2009) 013007 [arXiv:0809.3451] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni and J. Salvado, Testing matter effects in propagation of atmospheric and long-baseline neutrinos, JHEP 05 (2011) 075 [arXiv:1103.4365] [INSPIRE].
A. Friedland, M.L. Graesser, I.M. Shoemaker and L. Vecchi, Probing Nonstandard Standard Model Backgrounds with LHC Monojets, Phys. Lett. B 714 (2012) 267 [arXiv:1111.5331] [INSPIRE].
A. Friedland and I.M. Shoemaker, Searching for Novel Neutrino Interactions at NOvA and Beyond in Light of Large θ 13, arXiv:1207.6642 [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Global Analyses of Neutrino Oscillation Experiments, Nucl. Phys. B 908 (2016) 199 [arXiv:1512.06856] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
F. Vissani, Do experiments suggest a hierarchy problem?, Phys. Rev. D 57 (1998) 7027 [hep-ph/9709409] [INSPIRE].
M. Baumgart, C. Cheung, J.T. Ruderman, L.-T. Wang and I. Yavin, Non-Abelian Dark Sectors and Their Collider Signatures, JHEP 04 (2009) 014 [arXiv:0901.0283] [INSPIRE].
G.C. Branco, P.M. Ferreira, L. Lavoura, M.N. Rebelo, M. Sher and J.P. Silva, Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1 [arXiv:1106.0034] [INSPIRE].
ATLAS, CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
CMS collaboration, Search for a heavy Higgs boson in the H to ZZ to 2l2nu channel in pp collisions at \( \sqrt{s}=7 \) and 8 TeV, CMS-PAS-HIG-13-014.
ATLAS collaboration, Search for an additional, heavy Higgs boson in the H → ZZ decay channel at \( \sqrt{s}=8 \) TeV in pp collision data with the ATLAS detector, Eur. Phys. J. C 76 (2016) 45 [arXiv:1507.05930] [INSPIRE].
T. Hermann, M. Misiak and M. Steinhauser, \( \overline{B}\to {X}_s\gamma \) in the Two Higgs Doublet Model up to Next-to-Next-to-Leading Order in QCD, JHEP 11 (2012) 036 [arXiv:1208.2788] [INSPIRE].
ATLAS collaboration, Search for charged Higgs bosons in the H ± → tb decay channel in pp collisions at \( \sqrt{s}=8 \) TeV using the ATLAS detector, JHEP 03 (2016) 127 [arXiv:1512.03704] [INSPIRE].
R. Essig et al., Working Group Report: New Light Weakly Coupled Particles, arXiv:1311.0029 [INSPIRE].
M.R. Whalley, A Compilation of data on hadronic total cross-sections in e + e − interactions, J. Phys. G 29 (2003) A1 [INSPIRE].
BaBar collaboration, P. del Amo Sanchez et al., Test of lepton universality in Y(1S) decays at BaBar, Phys. Rev. Lett. 104 (2010) 191801 [arXiv:1002.4358] [INSPIRE].
A.V. Manohar and P. Ruiz-Femenia, The Orthopositronium decay spectrum using NRQED, Phys. Rev. D 69 (2004) 053003 [hep-ph/0311002] [INSPIRE].
K. Blum, Y. Grossman, Y. Nir and G. Perez, Combining \( {K}^0\hbox{-} {\overline{K}}^0 \) mixing and \( {D}^0\hbox{-} {\overline{D}}^0 \) mixing to constrain the flavor structure of new physics, Phys. Rev. Lett. 102 (2009) 211802 [arXiv:0903.2118] [INSPIRE].
K.S. Babu and Y. Meng, Flavor Violation in Supersymmetric Q(6) Model, Phys. Rev. D 80 (2009) 075003 [arXiv:0907.4231] [INSPIRE].
K.S. Babu and S. Nandi, Natural fermion mass hierarchy and new signals for the Higgs boson, Phys. Rev. D 62 (2000) 033002 [hep-ph/9907213] [INSPIRE].
E. Golowich, J. Hewett, S. Pakvasa and A.A. Petrov, Relating \( {D}^0\hbox{-} {\overline{D}}^0 \) Mixing and D 0 → ℓ + ℓ − with New Physics, Phys. Rev. D 79 (2009) 114030 [arXiv:0903.2830] [INSPIRE].
G. Burdman and I. Shipsey, \( {D}^0\hbox{-} {\overline{D}}^0 \) mixing and rare charm decays, Ann. Rev. Nucl. Part. Sci. 53 (2003) 431 [hep-ph/0310076] [INSPIRE].
K.S. Babu, X.G. He, X. Li and S. Pakvasa, Fourth Generation Signatures in \( {D}^0\hbox{-} {\overline{D}}^0 \) Mixing and Rare D Decays, Phys. Lett. B 205 (1988) 540 [INSPIRE].
W.J. Marciano and Z. Parsa, Rare kaon decays with “missing energy”, Phys. Rev. D 53 (1996) R1.
E949 collaboration, V.V. Anisimovsky et al., Improved measurement of the \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) branching ratio, Phys. Rev. Lett. 93 (2004) 031801 [hep-ex/0403036] [INSPIRE].
P. Ball and R. Zwicky, New results on B → π, K, η decay formfactors from light-cone sum rules, Phys. Rev. D 71 (2005) 014015 [hep-ph/0406232] [INSPIRE].
E949 collaboration, A.V. Artamonov et al., New measurement of the \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) branching ratio, Phys. Rev. Lett. 101 (2008) 191802 [arXiv:0808.2459] [INSPIRE].
T. Inami and C.S. Lim, Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes \( {K}_L\to \mu \overline{\mu},\kern0.5em {K}^{+}\to {\pi}^{+}\nu \overline{\nu}\kern0.5em and\kern0.5em {K}^0\to {\overline{K}}^0 \), Prog. Theor. Phys. 65 (1981) 297 [Erratum ibid. 65 (1981) 1772] [INSPIRE].
L.J. Hall and M.B. Wise, Flavor changing Higgs-boson couplings, Nucl. Phys. B 187 (1981) 397 [INSPIRE].
J.M. Frere, J.A.M. Vermaseren and M.B. Gavela, The Elusive Axion, Phys. Lett. B 103 (1981) 129 [INSPIRE].
M. Freytsis, Z. Ligeti and J. Thaler, Constraining the Axion Portal with B → Kl + l −, Phys. Rev. D 81 (2010) 034001 [arXiv:0911.5355] [INSPIRE].
H. Davoudiasl, H.-S. Lee and W.J. Marciano, ’Dark’ Z implications for Parity Violation, Rare Meson Decays and Higgs Physics, Phys. Rev. D 85 (2012) 115019 [arXiv:1203.2947] [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].
S.G. Porsev, K. Beloy and A. Derevianko, Precision determination of weak charge of 133 Cs from atomic parity violation, Phys. Rev. D 82 (2010) 036008 [arXiv:1006.4193] [INSPIRE].
ATLAS collaboration, Search for invisible decays of a Higgs boson using vector-boson fusion in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 01 (2016) 172 [arXiv:1508.07869] [INSPIRE].
SLAC E158 collaboration, P.L. Anthony et al., Observation of parity nonconservation in Moller scattering, Phys. Rev. Lett. 92 (2004) 181602 [hep-ex/0312035] [INSPIRE].
W.J. Marciano and D. Wyler, W production via Z decay, Z. Phys. C 3 (1979) 181 [INSPIRE].
CMS collaboration, Search for pair production of third-generation leptoquarks and top squarks in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Rev. Lett. 110 (2013) 081801 [arXiv:1210.5629] [INSPIRE].
ATLAS collaboration, Search for third generation scalar leptoquarks in pp collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, JHEP 06 (2013) 033 [arXiv:1303.0526] [INSPIRE].
Y. Nir and D.J. Silverman, Z Mediated Flavor Changing Neutral Currents and Their Implications for CP Asymmetries in B 0 Decays, Phys. Rev. D 42 (1990) 1477 [INSPIRE].
A.J. Buras, M. Jamin and P.H. Weisz, Leading and Next-to-leading QCD Corrections to ϵ Parameter and \( {B}^0-{\overline{B}}^0 \) Mixing in the Presence of a Heavy Top Quark, Nucl. Phys. B 347 (1990) 491 [INSPIRE].
A. Lenz, Theoretical update of B-Mixing and Lifetimes, arXiv:1205.1444 [INSPIRE].
J.D. Bjorken, R. Essig, P. Schuster and N. Toro, New Fixed-Target Experiments to Search for Dark Gauge Forces, Phys. Rev. D 80 (2009) 075018 [arXiv:0906.0580] [INSPIRE].
A.I. Studenikin, Charged lepton G-2 and constraints on new physics, hep-ph/9808219 [INSPIRE].
F. Jegerlehner and A. Nyffeler, The Muon g-2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
BESIII collaboration, M. Ablikim et al., Precision measurement of the mass of the τ lepton, Phys. Rev. D 90 (2014) 012001 [arXiv:1405.1076] [INSPIRE].
G. Bellini et al., Precision measurement of the 7 Be solar neutrino interaction rate in Borexino, Phys. Rev. Lett. 107 (2011) 141302 [arXiv:1104.1816] [INSPIRE].
A.G. Beda et al., GEMMA experiment: Three years of the search for the neutrino magnetic moment, Phys. Part. Nucl. Lett. 7 (2010) 406 [arXiv:0906.1926] [INSPIRE].
CHARM-II collaboration, P. Vilain et al., Precision measurement of electroweak parameters from the scattering of muon-neutrinos on electrons, Phys. Lett. B 335 (1994) 246 [INSPIRE].
TEXONO collaboration, M. Deniz et al., Measurement of \( {\overline{\nu}}_e \) -Electron Scattering Cross-Section with a CsI(Tl) Scintillating Crystal Array at the Kuo-Sheng Nuclear Power Reactor, Phys. Rev. D 81 (2010) 072001 [arXiv:0911.1597] [INSPIRE].
MiniBooNE collaboration, A.A. Aguilar-Arevalo et al., A Search for electron neutrino appearance at the Δm 2 ∼ 1 eV 2 scale, Phys. Rev. Lett. 98 (2007) 231801 [arXiv:0704.1500] [INSPIRE].
MiniBooNE collaboration, A.A. Aguilar-Arevalo et al., A Combined ν μ → ν e and \( {\overline{\nu}}_{\mu}\to {\overline{\nu}}_e \) Oscillation Analysis of the MiniBooNE Excesses, arXiv:1207.4809 [INSPIRE].
LSND collaboration, L.B. Auerbach et al., Measurement of electron-neutrino-electron elastic scattering, Phys. Rev. D 63 (2001) 112001 [hep-ex/0101039] [INSPIRE].
NuTeV collaboration, G.P. Zeller et al., A precise determination of electroweak parameters in neutrino nucleon scattering, Phys. Rev. Lett. 88 (2002) 091802 [Erratum ibid. 90 (2003) 239902] [hep-ex/0110059] [INSPIRE].
L3 collaboration, M. Acciarri et al., Search for manifestations of new physics in fermion pair production at LEP, Phys. Lett. B 489 (2000) 81 [hep-ex/0005028] [INSPIRE].
B. Batell, M. Pospelov and A. Ritz, Exploring Portals to a Hidden Sector Through Fixed Targets, Phys. Rev. D 80 (2009) 095024 [arXiv:0906.5614] [INSPIRE].
TEXONO collaboration, H.T. Wong et al., A Search of Neutrino Magnetic Moments with a High-Purity Germanium Detector at the Kuo-Sheng Nuclear Power Station, Phys. Rev. D 75 (2007) 012001 [hep-ex/0605006] [INSPIRE].
J.-W. Chen et al., Constraints on millicharged neutrinos via analysis of data from atomic ionizations with germanium detectors at sub-keV sensitivities, Phys. Rev. D 90 (2014) 011301 [arXiv:1405.7168] [INSPIRE].
S. Bifani, Search for New Physics with b → sll decays at LHCb, CERN seminar, 18 April 2017.
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ArXiv ePrint: 1705.01822
ORCID: http://orcid.org/0000-0002-5047-4680. (A. Friedland)
ORCID: http://orcid.org/0000-0002-9118-7354. (P. A. N. Machado)
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Babu, K.S., Friedland, A., Machado, P.A.N. et al. Flavor gauge models below the Fermi scale. J. High Energ. Phys. 2017, 96 (2017). https://doi.org/10.1007/JHEP12(2017)096
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DOI: https://doi.org/10.1007/JHEP12(2017)096