Abstract
We identify a class of U(1) X models which can explain the R K anomaly and the neutrino mixing pattern, by using a bottom-up approach. The different X-charges of lepton generations account for the lepton universality violation required to explain R K . In addition to the three right-handed neutrinos needed for the Type-I seesaw mechanism, these minimal models only introduce an additional doublet Higgs and a singlet scalar. While the former helps in reproducing the quark mixing structure, the latter gives masses to neutrinos and the new gauge boson Z ′. Our bottom-up approach determines the X-charges of all particles using theoretical consistency and experimental constraints. We find the parameter space allowed by the constraints from neutral meson mixing, rare b → s decays and direct collider searches for Z ′. Such a Z ′ may be observable at the ongoing run of the Large Hadron Collider with a few hundred fb−1 of integrated luminosity.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
LHCb collaboration, Test of lepton universality using B + → K + ℓ + ℓ − decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
S. Descotes-Genon, J. Matias, M. Ramon and J. Virto, Implications from clean observables for the binned analysis of B → K ∗ μ + μ − at large recoil, JHEP 01 (2013) 048 [arXiv:1207.2753] [INSPIRE].
LHCb collaboration, Measurement of Form-Factor-Independent Observables in the Decay B 0 → K ∗0 μ + μ −, Phys. Rev. Lett. 111 (2013) 191801 [arXiv:1308.1707] [INSPIRE].
LHCb collaboration, Angular analysis of the B 0 → K ∗0 μ + μ − decay using 3 fb −1 of integrated luminosity, JHEP 02 (2016) 104 [arXiv:1512.04442] [INSPIRE].
Belle collaboration, S. Wehle et al., Lepton-Flavor-Dependent Angular Analysis of B→K ∗ ℓ + ℓ −,arXiv:1612.05014[INSPIRE].
LHCb collaboration, Differential branching fractions and isospin asymmetries of B→K (∗) μ + μ − decays, JHEP 06(2014)133 [arXiv:1403.8044] [INSPIRE].
LHCb collaboration, Differential branching fraction and angular analysis of the decay B 0 s → ϕμ + μ −, JHEP 07 (2013) 084 [arXiv:1305.2168] [INSPIRE].
C. Bobeth, G. Hiller and G. Piranishvili, Angular distributions of \( \overline{B}\to \overline{K}\ell +\ell - \) decays, JHEP 12 (2007)040 [arXiv:0709.4174] [INSPIRE].
M. Bordone, G. Isidori and A. Pattori, On the Standard Model predictions for R K and R K ∗ , Eur. Phys. J. C 76 (2016) 440 [arXiv:1605.07633] [INSPIRE].
G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [INSPIRE].
W. Altmannshofer, P. Ball, A. Bharucha, A.J. Buras, D.M. Straub and M. Wick, Symmetries and Asymmetries of B → K ∗ μ + μ − Decays in the Standard Model and Beyond, JHEP 01 (2009) 019 [arXiv:0811.1214] [INSPIRE].
G. Hiller and F. Krüger, More model independent analysis of b → s processes, Phys. Rev. D 69 (2004) 074020 [hep-ph/0310219] [INSPIRE].
G. Hiller and M. Schmaltz, R K and future b → sℓℓ physics beyond the standard model opportunities, Phys. Rev. D 90 (2014) 054014 [arXiv:1408.1627] [INSPIRE].
S. Descotes-Genon, J. Matias and J. Virto, Understanding the B → K ∗ μ + μ − Anomaly, Phys. Rev. D 88 (2013) 074002 [arXiv:1307.5683] [INSPIRE].
D. Ghosh, M. Nardecchia and S.A. Renner, Hint of Lepton Flavour Non-Universality in B Meson Decays, JHEP 12 (2014) 131 [arXiv:1408.4097] [INSPIRE].
W. Altmannshofer and D.M. Straub, New physics in b → s transitions after LHC run 1, Eur. Phys. J. C 75 (2015) 382 [arXiv:1411.3161] [INSPIRE].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Global analysis of b → sℓℓ anomalies, JHEP 06 (2016) 092 [arXiv:1510.04239] [INSPIRE].
T. Hurth, F. Mahmoudi and S. Neshatpour, On the anomalies in the latest LHCb data, Nucl. Phys. B 909 (2016) 737 [arXiv:1603.00865] [INSPIRE].
R. Gauld, F. Goertz and U. Haisch, On minimal Z ′ explanations of the B → K ∗ μ + μ − anomaly, Phys. Rev. D 89 (2014) 015005 [arXiv:1308.1959] [INSPIRE].
S.L. Glashow, D. Guadagnoli and K. Lane, Lepton Flavor Violation in B Decays?, Phys. Rev. Lett. 114 (2015) 091801 [arXiv:1411.0565] [INSPIRE].
B. Bhattacharya, A. Datta, D. London and S. Shivashankara, Simultaneous Explanation of the R K and R(D (∗)) Puzzles, Phys. Lett. B 742 (2015) 370 [arXiv:1412.7164] [INSPIRE].
A. Crivellin, G. D’Ambrosio and J. Heeck, Explaining h → μ ± τ ∓ , B → K ∗ μ + μ − and B→Kμ + μ − /B→Ke + e − in a two-Higgs-doublet model with gauged L μ −L τ , Phys. Rev. Lett. 114 (2015) 151801 [arXiv:1501.00993] [INSPIRE].
A. Crivellin, G. D’Ambrosio and J. Heeck, Addressing the LHC flavor anomalies with horizontal gauge symmetries, Phys. Rev. D 91 (2015) 075006 [arXiv:1503.03477] [INSPIRE].
A. Crivellin, L. Hofer, J. Matias, U. Nierste, S. Pokorski and J. Rosiek, Lepton-flavour violating B decays in generic Z ′ models, Phys. Rev. D 92 (2015) 054013 [arXiv:1504.07928] [INSPIRE].
A. Celis, J. Fuentes-Martin, M. Jung and H. Serodio, Family nonuniversal Z’ models with protected flavor-changing interactions, Phys. Rev. D 92 (2015) 015007 [arXiv:1505.03079] [INSPIRE].
D. Aristizabal Sierra, F. Staub and A. Vicente, Shedding light on the b → s anomalies with a dark sector, Phys. Rev. D 92 (2015) 015001 [arXiv:1503.06077] [INSPIRE].
G. Bélanger, C. Delaunay and S. Westhoff, A Dark Matter Relic From Muon Anomalies, Phys. Rev. D 92 (2015) 055021 [arXiv:1507.06660] [INSPIRE].
B. Gripaios, M. Nardecchia and S.A. Renner, Linear flavour violation and anomalies in B physics, JHEP 06 (2016) 083 [arXiv:1509.05020] [INSPIRE].
B. Allanach, F.S. Queiroz, A. Strumia and S. Sun, Z ′ models for the LHCb and g − 2 muon anomalies, Phys. Rev. D 93 (2016) 055045 [arXiv:1511.07447] [INSPIRE].
K. Fuyuto, W.-S. Hou and M. Kohda, Z’-induced FCNC decays of top, beauty and strange quarks, Phys. Rev. D 93 (2016) 054021 [arXiv:1512.09026] [INSPIRE].
C.W. Chiang, X.G. He and G. Valencia, Z ′ model for \( b\to s\overline{\ell}\ell \) flavor anomalies, Phys. Rev. D 93 (2016) 074003 [arXiv:1601.07328] [INSPIRE].
S.M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente and J. Virto, Non-abelian gauge extensions for B-decay anomalies, Phys. Lett. B 760 (2016) 214 [arXiv:1604.03088] [INSPIRE].
S.M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente and J. Virto, Phenomenology of an SU(2) × SU(2) × U(1) model with lepton-flavour non-universality, JHEP 12 (2016) 059 [arXiv:1608.01349] [INSPIRE].
A. Celis, W.-Z. Feng and M. Vollmann, Dirac dark matter and b → sℓ + ℓ − with U(1) gauge symmetry, Phys. Rev. D 95 (2017) 035018 [arXiv:1608.03894] [INSPIRE].
W. Altmannshofer, S. Gori, S. Profumo and F.S. Queiroz, Explaining dark matter and B decay anomalies with an L μ − L τ model, JHEP 12 (2016) 106 [arXiv:1609.04026] [INSPIRE].
A. Crivellin, J. Fuentes-Martin, A. Greljo and G. Isidori, Lepton Flavor Non-Universality in B decays from Dynamical Yukawas, Phys. Lett. B 766 (2017) 77 [arXiv:1611.02703] [INSPIRE].
I. Garcia Garcia, LHCb anomalies from a natural perspective, JHEP 03 (2017) 040 [arXiv:1611.03507] [INSPIRE].
D. Bečirević, O. Sumensari and R. Zukanovich Funchal, Lepton flavor violation in exclusive b→s decays, Eur. Phys. J. C 76 (2016) 134 [arXiv:1602.00881] [INSPIRE].
B. Bhattacharya, A. Datta, J.-P. Guévin, D. London and R. Watanabe, Simultaneous Explanation of the R K and R D (*) Puzzles: a Model Analysis, JHEP 01 (2017) 015 [arXiv:1609.09078] [INSPIRE].
S. Biswas, D. Chowdhury, S. Han and S.J. Lee, Explaining the lepton non-universality at the LHCb and CMS within a unified framework, JHEP 02 (2015) 142 [arXiv:1409.0882] [INSPIRE].
B. Gripaios, M. Nardecchia and S.A. Renner, Composite leptoquarks and anomalies in B-meson decays, JHEP 05 (2015) 006 [arXiv:1412.1791] [INSPIRE].
S. Sahoo and R. Mohanta, Scalar leptoquarks and the rare B meson decays, Phys. Rev. D 91 (2015) 094019 [arXiv:1501.05193] [INSPIRE].
D. Bečirević, S. Fajfer and N. Košnik, Lepton flavor nonuniversality in b → sℓ + ℓ − processes, Phys. Rev. D 92 (2015) 014016 [arXiv:1503.09024] [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, Lepton universality violation and lepton flavor conservation in B-meson decays, JHEP 10 (2015) 184 [arXiv:1505.05164] [INSPIRE].
L. Calibbi, A. Crivellin and T. Ota, Effective Field Theory Approach to b → sℓℓ ′ , \( B\to K\ast \nu \overline{v} \) and B → D ∗ τν with Third Generation Couplings, Phys. Rev. Lett. 115(2015) 181801 [arXiv:1506.02661] [INSPIRE].
W. Huang and Y.-L. Tang, Flavor anomalies at the LHC and the R-parity violating supersymmetric model extended with vectorlike particles, Phys. Rev. D 92 (2015) 094015 [arXiv:1509.08599] [INSPIRE].
H. Päs and E. Schumacher, Common origin of R K and neutrino masses, Phys. Rev. D 92 (2015) 114025 [arXiv:1510.08757] [INSPIRE].
M. Bauer and M. Neubert, Minimal Leptoquark Explanation for the R D (∗) , R K and (g − 2) g Anomalies, Phys. Rev. Lett. 116 (2016) 141802 [arXiv:1511.01900] [INSPIRE].
S. Fajfer and N. Košnik, Vector leptoquark resolution of RK and R D (∗) puzzles, Phys. Lett. B 755 (2016) 270 [arXiv:1511.06024] [INSPIRE].
R. Barbieri, G. Isidori, A. Pattori and F. Senia, Anomalies in B-decays and U(2) flavour symmetry, Eur. Phys. J. C 76 (2016) 67 [arXiv:1512.01560] [INSPIRE].
S. Sahoo and R. Mohanta, Lepton flavor violating B meson decays via a scalar leptoquark, Phys. Rev. D 93 (2016) 114001 [arXiv:1512.04657] [INSPIRE].
I. Doršner, S. Fajfer, A. Greljo, J.F. Kamenik and N. Košnik, Physics of leptoquarks in precision experiments and at particle colliders, Phys. Rept. 641 (2016) 1 [arXiv:1603.04993] [INSPIRE].
D. Das, C. Hati, G. Kumar and N. Mahajan, Towards a unified explanation of R D (∗) , R K and (g − 2) μ anomalies in a left-right model with leptoquarks, Phys. Rev. D 94 (2016) 055034 [arXiv:1605.06313] [INSPIRE].
S. Sahoo and R. Mohanta, Effects of scalar leptoquark on semileptonic Λ b decays, New J. Phys. 18 (2016) 093051 [arXiv:1607.04449] [INSPIRE].
C.-H. Chen, T. Nomura and H. Okada, Explanation of B → K (∗)ℓ+ℓ− and muon g − 2 and implications at the LHC, Phys. Rev. D 94 (2016) 115005 [arXiv:1607.04857] [INSPIRE].
D. Bečirević, N. Košnik, O. Sumensari and R. Zukanovich Funchal, Palatable Leptoquark Scenarios for Lepton Flavor Violation in Exclusive b → sℓ 1 ℓ 2 modes, JHEP 11 (2016) 035 [arXiv:1608.07583] [INSPIRE].
D. Bečirević, S. Fajfer, N. Košnik and O. Sumensari, Leptoquark model to explain the B-physics anomalies, R K and R D , Phys. Rev. D 94 (2016) 115021 [arXiv:1608.08501] [INSPIRE].
S. Sahoo, R. Mohanta and A.K. Giri, Explaining the R K and R D (∗) anomalies with vector leptoquarks, Phys. Rev. D 95 (2017) 035027 [arXiv:1609.04367] [INSPIRE].
R. Barbieri, C.W. Murphy and F. Senia, B-decay Anomalies in a Composite Leptoquark Model, Eur. Phys. J. C 77 (2017) 8 [arXiv:1611.04930] [INSPIRE].
P. Cox, A. Kusenko, O. Sumensari and T.T. Yanagida, SU(5) Unification with TeV-scale Leptoquarks, JHEP 03 (2017) 035 [arXiv:1612.03923] [INSPIRE].
F. Capozzi, E. Lisi, A. Marrone, D. Montanino and A. Palazzo, Neutrino masses and mixings: Status of known and unknown 3ν parameters, Nucl. Phys. B 908 (2016) 218 [arXiv:1601.07777] [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler and T. Schwetz, Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity, JHEP 01 (2017) 087 [arXiv:1611.01514] [INSPIRE].
L. Lavoura, Zeros of the inverted neutrino mass matrix, Phys. Lett. B 609 (2005) 317 [hep-ph/0411232] [INSPIRE].
E.I. Lashin and N. Chamoun, Zero minors of the neutrino mass matrix, Phys. Rev. D 78 (2008)07 3002 [arXiv:0708.2423] [INSPIRE].
T. Araki, J. Heeck and J. Kubo, Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries, JHEP 07 (2012) 083 [arXiv:1203.4951] [INSPIRE].
J. Heeck, Gauged Flavor Symmetries, Nucl. Phys. Proc. Suppl. 237-238 (2013) 336 [INSPIRE].
E.I. Lashin and N. Chamoun, One vanishing minor in the neutrino mass matrix, Phys. Rev. D 80 (2009) 093004 [arXiv:0909.2669] [INSPIRE].
D. Atwood, S. Bar-Shalom and A. Soni, Signature of heavy Majorana neutrinos at a linear collider: Enhanced charged Higgs pair production, Phys. Rev. D 76 (2007) 033004 [hep-ph/0701005] [INSPIRE].
A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, hep-ph/9806471 [INSPIRE].
UTFIT collaboration, Summer 2016 results, http://www.utfit.org.
A.J. Buras, J. Girrbach-Noe, C. Niehoff and D.M. Straub, \( B\to {K^{\Big(}}^{\ast \Big)}\nu \overline{\nu} \) decays in the Standard Model and beyond, JHEP 02 (2015) 184 [arXiv:1409.4557] [INSPIRE].
ATLAS collaboration, Search for new high-mass resonances in the dilepton final state using proton-proton collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-045 (2016).
CMS collaboration, Search for a high-mass resonance decaying into a dilepton final state in 13 fb −1 of pp collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-EXO-16-031 (2016).
ATLAS collaboration, Search for new phenomena in dijet mass and angular distributions from pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, Phys. Lett. B 754 (2016) 302 [arXiv:1512.01530] [INSPIRE].
CMS collaboration, Search for dijet resonances in proton-proton collisions at \( \sqrt{s}=13 \) TeV and constraints on dark matter and other models, Phys. Lett. B (2016) [arXiv:1611.03568] [INSPIRE].
H. Fritzsch, Z.-z. Xing and S. Zhou, Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests, JHEP 09 (2011) 083 [arXiv:1108.4534] [INSPIRE].
E. Ma, Connection between the neutrino seesaw mechanism and properties of the Majorana neutrino mass matrix, Phys. Rev. D 71 (2005) 111301 [hep-ph/0501056] [INSPIRE].
GERDA collaboration, M. Agostini et al., Results on Neutrinoless Double-β Decay of 76 Ge from Phase I of the GERDA Experiment, Phys. Rev. Lett. 111 (2013) 122503 [arXiv:1307.4720] [INSPIRE].
Particle Data Group webpage, http://pdg.lbl.gov/2016/listings/rpp2016-list-neutrino-prop.pdf.
S. Antusch, E. Cazzato and O. Fischer, Sterile neutrino searches at future e − e + , pp and e − p colliders, arXiv:1612.02728 [INSPIRE].
A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 - A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 Physics and Manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P.M. Nadolsky and W.K. Tung, New generation of parton distributions with uncertainties from global QCD analysis, JHEP 07 (2002)012 [hep-ph/0201195] [INSPIRE].
S. Ovyn, X. Rouby and V. Lemaitre, DELPHES, a framework for fast simulation of a generic collider experiment, arXiv:0903.2225 [INSPIRE].
DELPHES 3 collaboration, J. de Favereau et al., DELPHES 3, A modular framework for fast simulation of a generic collider experiment, JHEP 02 (2014) 057 [arXiv:1307.6346] [INSPIRE].
I. Antcheva et al., ROOT: A C++ framework for petabyte data storage, statistical analysis and visualization, Comput. Phys. Commun. 180 (2009) 2499 [arXiv:1508.07749] [INSPIRE].
CMS collaboration, Measurements of the differential production cross sections for a Z boson in association with jets in pp collisions at \( \sqrt{s}=8 \) TeV, Submitted to: JHEP (2016) [arXiv:1611.03844] [INSPIRE].
CMS collaboration, CMS physics technical design report: Addendum on high density QCD with heavy ions, J. Phys. G 34 (2007) 2307 [INSPIRE].
Heavy Flavor Averaging Group (HFAG) collaboration, Y. Amhis et al., Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2014, arXiv:1412.7515 [INSPIRE].
P. Langacker, The Physics of Heavy Z ′ Gauge Bosons, Rev. Mod. Phys. 81 (2009) 1199 [arXiv:0801.1345] [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].
T. Aushev et al., Physics at Super B Factory, arXiv:1002.5012 [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: 1701.05825
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, 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 license, and indicate if changes were made.
About this article
Cite this article
Bhatia, D., Chakraborty, S. & Dighe, A. Neutrino mixing and R K anomaly in U(1) X models: a bottom-up approach. J. High Energ. Phys. 2017, 117 (2017). https://doi.org/10.1007/JHEP03(2017)117
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2017)117