Abstract
The experimental value of the anomalous magnetic moment of the muon, as well as the LHCb anomalies, point towards new physics coupled non-universally to muons and electrons. Working in extra dimensional theories, which solve the electroweak hierarchy problem with a warped metric, strongly deformed with respect to the AdS5 geometry at the infra-red brane, the LHCb anomalies can be solved by imposing that the bottom and the muon have a sizable amount of compositeness, while the electron is mainly elementary. Using this set-up as starting point we have proven that extra physics has to be introduced to describe the anomalous magnetic moment of the muon. We have proven that this job is done by a set of vector-like leptons, mixed with the physical muon through Yukawa interactions, and with a high degree of compositeness. The theory is consistent with all electroweak indirect, direct and theoretical constraints, the most sensitive ones being the modification of the \( Z\overline{\mu}\mu \) coupling, oblique observables and constraints on the stability of the electroweak minimum. They impose lower bounds on the compositeness (c ≲ 0.37) and on the mass of the lightest vector-like lepton (≳270 GeV). Vector-like leptons could be easily produced in Drell-Yan processes at the LHC and detected at \( \sqrt{s}=13 \) TeV.
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].
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].
Muon g-2 collaboration, G.W. Bennett et al., Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Soft-Wall Stabilization, New J. Phys. 12 (2010) 075012 [arXiv:0907.5361] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Warped Electroweak Breaking Without Custodial Symmetry, Phys. Lett. B 697 (2011) 208 [arXiv:1011.2205] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Suppressing Electroweak Precision Observables in 5D Warped Models, JHEP 05 (2011) 083 [arXiv:1103.1388] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Improving Naturalness in Warped Models with a Heavy Bulk Higgs Boson, Phys. Rev. D 84 (2011) 035024 [arXiv:1104.3149] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Warped 5D Standard Model Consistent with EWPT, Fortsch. Phys. 59 (2011) 1135 [arXiv:1104.5253] [INSPIRE].
A. Carmona, E. Ponton and J. Santiago, Phenomenology of Non-Custodial Warped Models, JHEP 10 (2011) 137 [arXiv:1107.1500] [INSPIRE].
J.A. Cabrer, G. von Gersdorff and M. Quirós, Flavor Phenomenology in General 5D Warped Spaces, JHEP 01 (2012) 033 [arXiv:1110.3324] [INSPIRE].
J. de Blas, A. Delgado, B. Ostdiek and A. de la Puente, LHC Signals of Non-Custodial Warped 5D Models, Phys. Rev. D 86 (2012) 015028 [arXiv:1206.0699] [INSPIRE].
M. Quirós, Higgs Bosons in Extra Dimensions, Mod. Phys. Lett. A 30 (2015) 1540012 [arXiv:1311.2824] [INSPIRE].
E. Megias, O. Pujolàs and M. Quirós, On dilatons and the LHC diphoton excess, JHEP 05 (2016) 137 [arXiv:1512.06106] [INSPIRE].
E. Megias, G. Panico, O. Pujolàs and M. Quirós, A Natural origin for the LHCb anomalies, JHEP 09 (2016) 118 [arXiv:1608.02362] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
M. Davier, Update of the Hadronic Vacuum Polarisation Contribution to the muon g-2, arXiv:1612.02743 [INSPIRE].
A. Freitas, J. Lykken, S. Kell and S. Westhoff, Testing the Muon g-2 Anomaly at the LHC, JHEP 05 (2014) 145 [Erratum ibid. 09 (2014) 155] [arXiv:1402.7065] [INSPIRE].
W. Altmannshofer, M. Carena and A. Crivellin, L μ − L τ theory of Higgs flavor violation and (g − 2) μ , Phys. Rev. D 94 (2016) 095026 [arXiv:1604.08221] [INSPIRE].
B. Batell, N. Lange, D. McKeen, M. Pospelov and A. Ritz, Muon anomalous magnetic moment through the leptonic Higgs portal, Phys. Rev. D 95 (2017) 075003 [arXiv:1606.04943] [INSPIRE].
W. Altmannshofer, C.-Y. Chen, P.S. Bhupal Dev and A. Soni, Lepton flavor violating Z ′ explanation of the muon anomalous magnetic moment, Phys. Lett. B 762 (2016) 389 [arXiv:1607.06832] [INSPIRE].
C. Biggio, M. Bordone, L. Di Luzio and G. Ridolfi, Massive vectors and loop observables: the g−2 case, JHEP 10 (2016) 002 [arXiv:1607.07621] [INSPIRE].
E. Coluccio Leskow, G. D’Ambrosio, A. Crivellin and D. Müller, (g − 2)μ, lepton flavor violation and Z decays with leptoquarks: Correlations and future prospects, Phys. Rev. D 95 (2017) 055018 [arXiv:1612.06858] [INSPIRE].
D. Stöckinger, The Muon Magnetic Moment and Supersymmetry, J. Phys. G 34 (2007) R45 [hep-ph/0609168] [INSPIRE].
O. DeWolfe, D.Z. Freedman, S.S. Gubser and A. Karch, Modeling the fifth-dimension with scalars and gravity, Phys. Rev. D 62 (2000) 046008 [hep-th/9909134] [INSPIRE].
E. Megias, O. Pujolàs and M. Quirós, On light dilaton extensions of the Standard Model, EPJ Web Conf. 126 (2016) 05010 [arXiv:1512.06702] [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
E. Megias, G. Panico, O. Pujolàs and M. Quirós, Light dilatons in warped space: Higgs boson and LHCb anomalies, Nucl. Part. Phys. Proc. 282-284 (2017) 194 [arXiv:1609.01881] [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].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, The b → sl + l −1 Anomalies And Their Implications For New Physics, arXiv:1605.06059 [INSPIRE].
B. Capdevila, S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, B → K ∗(→ Kπ)ℓ + ℓ − theory and the global picture: What’s next?, PoS(LHCP2016)073 [arXiv:1609.01355] [INSPIRE].
M. Beneke, P. Dey and J. Rohrwild, The muon anomalous magnetic moment in the Randall-Sundrum model, JHEP 08 (2013) 010 [arXiv:1209.5897] [INSPIRE].
P. Moch and J. Rohrwild, (g − 2) μ in the custodially protected RS model, J. Phys. G 41 (2014) 105005 [arXiv:1405.5385] [INSPIRE].
H.-S. Lee and A. Soni, Fourth Generation Parity, Phys. Rev. Lett. 110 (2013) 021802 [arXiv:1206.6110] [INSPIRE].
F.S. Queiroz and W. Shepherd, New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code, Phys. Rev. D 89 (2014) 095024 [arXiv:1403.2309] [INSPIRE].
S.A.R. Ellis, R.M. Godbole, S. Gopalakrishna and J.D. Wells, Survey of vector-like fermion extensions of the Standard Model and their phenomenological implications, JHEP 09 (2014) 130 [arXiv:1404.4398] [INSPIRE].
M. Carena, I. Low and C.E.M. Wagner, Implications of a Modified Higgs to Diphoton Decay Width, JHEP 08 (2012) 060 [arXiv:1206.1082] [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].
N. Arkani-Hamed, K. Blum, R.T. D’Agnolo and J. Fan, 2:1 for Naturalness at the LHC?, JHEP 01 (2013) 149 [arXiv:1207.4482] [INSPIRE].
A. Joglekar, P. Schwaller and C.E.M. Wagner, Dark Matter and Enhanced Higgs to Di-photon Rate from Vector-like Leptons, JHEP 12 (2012) 064 [arXiv:1207.4235] [INSPIRE].
L. Randall and M.D. Schwartz, Unification and the hierarchy from AdS5, Phys. Rev. Lett. 88 (2002) 081801 [hep-th/0108115] [INSPIRE].
J.A. Casas, J.R. Espinosa and M. Quirós, Improved Higgs mass stability bound in the standard model and implications for supersymmetry, Phys. Lett. B 342 (1995) 171 [hep-ph/9409458] [INSPIRE].
J.A. Casas, J.R. Espinosa and M. Quirós, Standard model stability bounds for new physics within LHC reach, Phys. Lett. B 382 (1996) 374 [hep-ph/9603227] [INSPIRE].
J.R. Espinosa and M. Quirós, Improved metastability bounds on the standard model Higgs mass, Phys. Lett. B 353 (1995) 257 [hep-ph/9504241] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
L3 collaboration, P. Achard et al., Search for heavy neutral and charged leptons in e + e − annihilation at LEP, Phys. Lett. B 517 (2001) 75 [hep-ex/0107015] [INSPIRE].
ATLAS collaboration, Search for heavy lepton resonances decaying to a Z boson and a lepton in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 09 (2015) 108 [arXiv:1506.01291] [INSPIRE].
CMS collaboration, Search for long-lived charged particles in proton-proton collisions at \( \sqrt{s}=13 \) TeV, Phys. Rev. D 94 (2016) 112004 [arXiv:1609.08382] [INSPIRE].
D. Diego and M. Quirós, Dirac Versus Majorana Neutrino Masses From a TeV Interval, Nucl. Phys. B 805 (2008) 148 [arXiv:0804.2838] [INSPIRE].
G. von Gersdorff, M. Quirós and M. Wiechers, Neutrino Mixing from Wilson Lines in Warped Space, JHEP 02 (2013) 079 [arXiv:1208.4300] [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: 1701.05072
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
Megías, E., Quirós, M. & Salas, L. g μ − 2 from Vector-like leptons in warped space. J. High Energ. Phys. 2017, 16 (2017). https://doi.org/10.1007/JHEP05(2017)016
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2017)016