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The muon magnetic moment in the 2HDM: complete two-loop result. (English) Zbl 1373.81411

Summary: We study the 2HDM contribution to the muon anomalous magnetic moment \(a_{\mu}\) and present the complete two-loop result, particularly for the bosonic contribution. We focus on the Aligned 2HDM, which has general Yukawa couplings and contains the type I, II, X, Y models as special cases. The result is expressed with physical parameters: three Higgs boson masses, Yukawa couplings, two mixing angles, and one quartic potential parameter. We show that the result can be split into several parts, each of which has a simple parameter dependence, and we document their general behavior. Taking into account constraints on parameters, we find that the full 2HDM contribution to \(a_{\mu}\) can accommodate the current experimental value, and the complete two-loop bosonic contribution can amount to \((2 \cdots 4 \times 10^{-10}\), more than the future experimental uncertainty.

MSC:

81V22 Unified quantum theories
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[1] ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett.B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
[2] CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett.B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE]. · Zbl 1388.81508
[3] M. Dührssen, ATLAS + CMS combination of Run1, talk given at 50th Rencontres de Moriond EW 2015, 14-21 Mars 2015. · Zbl 1388.81508
[4] 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].
[5] D.W. Hertzog, J.P. Miller, E. de Rafael, B. Lee Roberts and D. Stöckinger, The physics case for the new muon (g − 2) experiment, arXiv:0705.4617 [INSPIRE].
[6] D. Stöckinger, Muon (g − 2) and Physics Beyond the Standard Model, in Lepton Dipole Moments, B.L. Roberts and W.J. Marciano eds., Adv. Ser. Direct. High Energy Phys.20 (2009) 393.
[7] Muong − 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].
[8] M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ), Eur. Phys. J.C 71 (2011) 1515 [Erratum ibid.C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
[9] K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2)μand α(MZ2) re-evaluated using new precise data, J. Phys.G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
[10] T. Aoyama, M. Hayakawa, T. Kinoshita and M. Nio, Complete Tenth-Order QED Contribution to the Muon g − 2, Phys. Rev. Lett.109 (2012) 111808 [arXiv:1205.5370] [INSPIRE]. · doi:10.1103/PhysRevLett.109.111808
[11] C. Gnendiger, D. Stöckinger and H. Stöckinger-Kim, The electroweak contributions to (g − 2)μafter the Higgs boson mass measurement, Phys. Rev.D 88 (2013) 053005 [arXiv:1306.5546] [INSPIRE].
[12] A.L. Kataev, Analytical eighth-order light-by-light QED contributions from leptons with heavier masses to the anomalous magnetic moment of electron, Phys. Rev.D 86 (2012) 013010 [arXiv:1205.6191] [INSPIRE].
[13] R. Lee, P. Marquard, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment, JHEP03 (2013) 162 [arXiv:1301.6481] [INSPIRE]. · doi:10.1007/JHEP03(2013)162
[14] A. Kurz, T. Liu, P. Marquard and M. Steinhauser, Anomalous magnetic moment with heavy virtual leptons, Nucl. Phys.B 879 (2014) 1 [arXiv:1311.2471] [INSPIRE]. · Zbl 1284.81312 · doi:10.1016/j.nuclphysb.2013.11.018
[15] A. Kurz, T. Liu, P. Marquard, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order, Phys. Rev.D 92 (2015) 073019 [arXiv:1508.00901] [INSPIRE].
[16] A. Kurz, T. Liu, P. Marquard, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Electron contribution to the muon anomalous magnetic moment at four loops, Phys. Rev.D 93 (2016) 053017 [arXiv:1602.02785] [INSPIRE].
[17] F. Jegerlehner and R. Szafron, ρ0 − γ mixing in the neutral channel pion form factor Fπeand its role in comparing e+e−with τ spectral functions, Eur. Phys. J.C 71 (2011) 1632 [arXiv:1101.2872] [INSPIRE]. · doi:10.1140/epjc/s10052-011-1632-3
[18] M. Benayoun, P. David, L. DelBuono and F. Jegerlehner, An Update of the HLS Estimate of the Muon g-2, Eur. Phys. J.C 73 (2013) 2453 [arXiv:1210.7184] [INSPIRE]. · doi:10.1140/epjc/s10052-013-2453-3
[19] M. Benayoun, P. David, L. DelBuono and F. Jegerlehner, Muon g − 2 estimates: can one trust effective Lagrangians and global fits?, Eur. Phys. J.C 75 (2015) 613 [arXiv:1507.02943] [INSPIRE]. · doi:10.1140/epjc/s10052-015-3830-x
[20] M. Benayoun, P. David, L. DelBuono and F. Jegerlehner, A BHLS model based moment analysis of muon g − 2 and its use for lattice QCD evaluations of aμhad, arXiv:1605.04474 [INSPIRE].
[21] A. Kurz, T. Liu, P. Marquard and M. Steinhauser, Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order, Phys. Lett.B 734 (2014) 144 [arXiv:1403.6400] [INSPIRE]. · doi:10.1016/j.physletb.2014.05.043
[22] G. Colangelo, M. Hoferichter, A. Nyffeler, M. Passera and P. Stoffer, Remarks on higher-order hadronic corrections to the muon g − 2, Phys. Lett.B 735 (2014) 90 [arXiv:1403.7512] [INSPIRE]. · doi:10.1016/j.physletb.2014.06.012
[23] G. Colangelo, M. Hoferichter, M. Procura and P. Stoffer, Dispersive approach to hadronic light-by-light scattering, JHEP09 (2014) 091 [arXiv:1402.7081] [INSPIRE]. · doi:10.1007/JHEP09(2014)091
[24] G. Colangelo, M. Hoferichter, B. Kubis, M. Procura and P. Stoffer, Towards a data-driven analysis of hadronic light-by-light scattering, Phys. Lett.B 738 (2014) 6 [arXiv:1408.2517] [INSPIRE]. · doi:10.1016/j.physletb.2014.09.021
[25] G. Colangelo, M. Hoferichter, M. Procura and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: theoretical foundations, JHEP09 (2015) 074 [arXiv:1506.01386] [INSPIRE]. · Zbl 1388.81508 · doi:10.1007/JHEP09(2015)074
[26] V. Pauk and M. Vanderhaeghen, Anomalous magnetic moment of the muon in a dispersive approach, Phys. Rev.D 90 (2014) 113012 [arXiv:1409.0819] [INSPIRE].
[27] T. Blum, S. Chowdhury, M. Hayakawa and T. Izubuchi, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD, Phys. Rev. Lett.114 (2015) 012001 [arXiv:1407.2923] [INSPIRE]. · doi:10.1103/PhysRevLett.114.012001
[28] T. Blum, N. Christ, M. Hayakawa, T. Izubuchi, L. Jin and C. Lehner, Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment, Phys. Rev.D 93 (2016) 014503 [arXiv:1510.07100] [INSPIRE].
[29] BESIII collaboration, M. Ablikim et al., Measurement of the e+e− → π+π−cross section between 600 and 900 MeV using initial state radiation, Phys. Lett.B 753 (2016) 629 [arXiv:1507.08188] [INSPIRE].
[30] B. Chakraborty, C.T.H. Davies, J. Koponen, G.P. Lepage, M.J. Peardon and S.M. Ryan, Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD, Phys. Rev.D 93 (2016) 074509 [arXiv:1512.03270] [INSPIRE].
[31] F. Jegerlehner and A. Nyffeler, The Muon g − 2, Phys. Rept.477 (2009) 1 [arXiv:0902.3360] [INSPIRE]. · doi:10.1016/j.physrep.2009.04.003
[32] J.P. Miller, E. de Rafael, B.L. Roberts and D. Stöckinger, Muon (g − 2): Experiment and Theory, Ann. Rev. Nucl. Part. Sci.62 (2012) 237 [INSPIRE]. · doi:10.1146/annurev-nucl-031312-120340
[33] T. Blum et al., The Muon (g − 2) Theory Value: Present and Future, arXiv:1311.2198 [INSPIRE].
[34] M. Benayoun et al., Hadronic contributions to the muon anomalous magnetic moment Workshop. (g − 2)μ: Quo vadis? Workshop. Mini proceedings, arXiv:1407.4021.
[35] K. Melnikov, Theory review of the muon g − 2, EPJ Web Conf.118 (2016) 01020. · doi:10.1051/epjconf/201611801020
[36] A. Broggio, E.J. Chun, M. Passera, K.M. Patel and S.K. Vempati, Limiting two-Higgs-doublet models, JHEP11 (2014) 058 [arXiv:1409.3199] [INSPIRE]. · doi:10.1007/JHEP11(2014)058
[37] L. Wang and X.-F. Han, A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints, JHEP05 (2015) 039 [arXiv:1412.4874] [INSPIRE]. · doi:10.1007/JHEP05(2015)039
[38] V. Ilisie, New Barr-Zee contributions to (g − 2)μin two-Higgs-doublet models, JHEP04 (2015) 077 [arXiv:1502.04199] [INSPIRE]. · doi:10.1007/JHEP04(2015)077
[39] T. Abe, R. Sato and K. Yagyu, Lepton-specific two Higgs doublet model as a solution of muon g − 2 anomaly, JHEP07 (2015) 064 [arXiv:1504.07059] [INSPIRE]. · doi:10.1007/JHEP07(2015)064
[40] A. Crivellin, J. Heeck and P. Stoffer, A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model, Phys. Rev. Lett.116 (2016) 081801 [arXiv:1507.07567] [INSPIRE]. · doi:10.1103/PhysRevLett.116.081801
[41] E.J. Chun, Z. Kang, M. Takeuchi and Y.-L.S. Tsai, LHC τ-rich tests of lepton-specific 2HDM for (g − 2)μ, JHEP11 (2015) 099 [arXiv:1507.08067] [INSPIRE]. · doi:10.1007/JHEP11(2015)099
[42] T. Han, S.K. Kang and J. Sayre, Muon g − 2 in the aligned two Higgs doublet model, JHEP02 (2016) 097 [arXiv:1511.05162] [INSPIRE]. · doi:10.1007/JHEP02(2016)097
[43] S.M. Barr and A. Zee, Electric Dipole Moment of the Electron and of the Neutron, Phys. Rev. Lett.65 (1990) 21 [Erratum ibid.65 (1990) 2920] [INSPIRE].
[44] D. Chang, W.-F. Chang, C.-H. Chou and W.-Y. Keung, Large two loop contributions to g − 2 from a generic pseudoscalar boson, Phys. Rev.D 63 (2001) 091301 [hep-ph/0009292] [INSPIRE].
[45] K.-m. Cheung, C.-H. Chou and O.C.W. Kong, Muon anomalous magnetic moment, two Higgs doublet model and supersymmetry, Phys. Rev.D 64 (2001) 111301 [hep-ph/0103183] [INSPIRE].
[46] Y.-L. Wu and Y.-F. Zhou, Muon anomalous magnetic moment in the standard model with two Higgs doublets, Phys. Rev.D 64 (2001) 115018 [hep-ph/0104056] [INSPIRE].
[47] M. Krawczyk, Precision muon g − 2 results and light Higgs bosons in the 2HDM(II), Acta Phys. Polon.B 33 (2002) 2621 [hep-ph/0208076] [INSPIRE].
[48] R.M. Carey et al., The New (g − 2) Experiment: A proposal to measure the muon anomalous magnetic moment to ±0.14 ppm precision, FERMILAB-PROPOSAL-0989 [INSPIRE].
[49] B.L. Roberts, Status of the Fermilab Muon (g − 2) Experiment, Chin. Phys.C 34 (2010) 741 [arXiv:1001.2898] [INSPIRE]. · doi:10.1088/1674-1137/34/6/021
[50] J-PARC muong − 2/EDM collaboration, H. Iinuma, New approach to the muon g − 2 and EDM experiment at J-PARC, J. Phys. Conf. Ser.295 (2011) 012032 [INSPIRE].
[51] A. Czarnecki, B. Krause and W.J. Marciano, Electroweak corrections to the muon anomalous magnetic moment, Phys. Rev. Lett.76 (1996) 3267 [hep-ph/9512369] [INSPIRE].
[52] A. Czarnecki, B. Krause and W.J. Marciano, Electroweak Fermion loop contributions to the muon anomalous magnetic moment, Phys. Rev.D 52 (1995) R2619 [hep-ph/9506256] [INSPIRE].
[53] A. Czarnecki, W.J. Marciano and A. Vainshtein, Refinements in electroweak contributions to the muon anomalous magnetic moment, Phys. Rev.D 67 (2003) 073006 [Erratum ibid.D 73 (2006) 119901] [hep-ph/0212229] [INSPIRE].
[54] S. Heinemeyer, D. Stöckinger and G. Weiglein, Electroweak and supersymmetric two-loop corrections to (g − 2)μ, Nucl. Phys.B 699 (2004) 103 [hep-ph/0405255] [INSPIRE]. · Zbl 1123.81431
[55] S. Heinemeyer, D. Stöckinger and G. Weiglein, Two loop SUSY corrections to the anomalous magnetic moment of the muon, Nucl. Phys.B 690 (2004) 62 [hep-ph/0312264] [INSPIRE]. · Zbl 1123.81431
[56] A. Arhrib and S. Baek, Two loop Barr-Zee type contributions to (g − 2)μin the MSSM, Phys. Rev.D 65 (2002) 075002 [hep-ph/0104225] [INSPIRE]. · Zbl 1284.81312
[57] C.-H. Chen and C.Q. Geng, The muon anomalous magnetic moment from a generic charged Higgs with SUSY, Phys. Lett.B 511 (2001) 77 [hep-ph/0104151] [INSPIRE].
[58] K. Cheung, O.C.W. Kong and J.S. Lee, Electric and anomalous magnetic dipole moments of the muon in the MSSM, JHEP06 (2009) 020 [arXiv:0904.4352] [INSPIRE]. · doi:10.1088/1126-6708/2009/06/020
[59] P. von Weitershausen, M. Schafer, H. Stöckinger-Kim and D. Stöckinger, Photonic SUSY Two-Loop Corrections to the Muon Magnetic Moment, Phys. Rev.D 81 (2010) 093004 [arXiv:1003.5820] [INSPIRE].
[60] H.G. Fargnoli, C. Gnendiger, S. Paßehr, D. Stöckinger and H. Stöckinger-Kim, Non-decoupling two-loop corrections to (g − 2)μfrom fermion/sfermion loops in the MSSM, Phys. Lett.B 726 (2013) 717 [arXiv:1309.0980] [INSPIRE]. · doi:10.1016/j.physletb.2013.09.034
[61] H. Fargnoli, C. Gnendiger, S. Paßehr, D. Stöckinger and H. Stöckinger-Kim, Two-loop corrections to the muon magnetic moment from fermion/sfermion loops in the MSSM: detailed results, JHEP02 (2014) 070 [arXiv:1311.1775] [INSPIRE]. · doi:10.1007/JHEP02(2014)070
[62] D. Stöckinger, The Muon Magnetic Moment and Supersymmetry, J. Phys.G 34 (2007) R45 [hep-ph/0609168] [INSPIRE]. · Zbl 1205.82016
[63] P. Athron et al., GM2Calc: Precise MSSM prediction for (g − 2) of the muon, Eur. Phys. J.C 76 (2016) 62 [arXiv:1510.08071] [INSPIRE]. · doi:10.1140/epjc/s10052-015-3870-2
[64] 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]. · doi:10.1016/j.physrep.2012.02.002
[65] J.F. Gunion and H.E. Haber, The CP conserving two Higgs doublet model: The approach to the decoupling limit, Phys. Rev.D 67 (2003) 075019 [hep-ph/0207010] [INSPIRE].
[66] A. Celis, V. Ilisie and A. Pich, Towards a general analysis of LHC data within two-Higgs-doublet models, JHEP12 (2013) 095 [arXiv:1310.7941] [INSPIRE]. · doi:10.1007/JHEP12(2013)095
[67] T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun.140 (2001) 418 [hep-ph/0012260] [INSPIRE]. · Zbl 0994.81082
[68] A. Pich and P. Tuzon, Yukawa Alignment in the Two-Higgs-Doublet Model, Phys. Rev.D 80 (2009) 091702 [arXiv:0908.1554] [INSPIRE].
[69] M. Krause, R. Lorenz, M. Muhlleitner, R. Santos and H. Ziesche, Gauge-independent Renormalization of the 2-Higgs-Doublet Model, JHEP09 (2016) 143 [arXiv:1605.04853] [INSPIRE]. · doi:10.1007/JHEP09(2016)143
[70] A. Denner, L. Jenniches, J.-N. Lang and C. Sturm, Gauge-independent M S renormalization in the 2HDM, JHEP09 (2016) 115 [arXiv:1607.07352] [INSPIRE]. · doi:10.1007/JHEP09(2016)115
[71] P.M. Ferreira and D.R.T. Jones, Bounds on scalar masses in two Higgs doublet models, JHEP08 (2009) 069 [arXiv:0903.2856] [INSPIRE]. · doi:10.1088/1126-6708/2009/08/069
[72] A. Barroso, P.M. Ferreira, I.P. Ivanov and R. Santos, Metastability bounds on the two Higgs doublet model, JHEP06 (2013) 045 [arXiv:1303.5098] [INSPIRE]. · doi:10.1007/JHEP06(2013)045
[73] M.E. Peskin and T. Takeuchi, A new constraint on a strongly interacting Higgs sector, Phys. Rev. Lett.65 (1990) 964 [INSPIRE]. · doi:10.1103/PhysRevLett.65.964
[74] Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys.C 38 (2014) 090001 [INSPIRE].
[75] D. Eriksson, J. Rathsman and O. Stal, 2HDMC: Two-Higgs-Doublet Model Calculator Physics and Manual, Comput. Phys. Commun.181 (2010) 189 [arXiv:0902.0851] [INSPIRE]. · Zbl 1205.82016 · doi:10.1016/j.cpc.2009.09.011
[76] D. Eriksson, J. Rathsman and O. Stal, 2HDMC: Two-Higgs-doublet model calculator, Comput. Phys. Commun.181 (2010) 833 [INSPIRE]. · Zbl 1205.82016 · doi:10.1016/j.cpc.2009.12.016
[77] G. Weiglein, R. Scharf and M. Böhm, Reduction of general two loop selfenergies to standard scalar integrals, Nucl. Phys.B 416 (1994) 606 [hep-ph/9310358] [INSPIRE].
[78] B.e. Lautrup, A. Peterman and E. de Rafael, Recent developments in the comparison between theory and experiments in quantum electrodynamics, Phys. Rept.3 (1972) 193 [INSPIRE].
[79] J.P. Leveille, The Second Order Weak Correction to (g − 2) of the Muon in Arbitrary Gauge Models, Nucl. Phys.B 137 (1978) 63 [INSPIRE]. · doi:10.1016/0550-3213(78)90051-2
[80] A. Dedes and H.E. Haber, Can the Higgs sector contribute significantly to the muon anomalous magnetic moment?, JHEP05 (2001) 006 [hep-ph/0102297] [INSPIRE].
[81] S. Bertolini, Quantum Effects in a Two Higgs Doublet Model of the Electroweak Interactions, Nucl. Phys.B 272 (1986) 77 [INSPIRE]. · doi:10.1016/0550-3213(86)90341-X
[82] D. Lopez-Val and J. Solà, Δr in the Two-Higgs-Doublet Model at full one loop level — and beyond, Eur. Phys. J.C 73 (2013) 2393 [arXiv:1211.0311] [INSPIRE]. · doi:10.1140/epjc/s10052-013-2393-y
[83] A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys.41 (1993) 307 [arXiv:0709.1075] [INSPIRE].
[84] R. Santos and A. Barroso, On the renormalization of two Higgs doublet models, Phys. Rev.D 56 (1997) 5366 [hep-ph/9701257] [INSPIRE].
[85] M.A. Caprio, LevelScheme: A level scheme drawing and scientific figure preparation system for mathematica, Comput. Phys. Commun.171 (2005) 107 [physics/0505065] [INSPIRE]. · Zbl 1196.68303
[86] A.I. Davydychev and J.B. Tausk, Two loop selfenergy diagrams with different masses and the momentum expansion, Nucl. Phys.B 397 (1993) 123 [INSPIRE]. · doi:10.1016/0550-3213(93)90338-P
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.