Abstract
In this work, we evaluate the contributions to the anomalous magnetic moment of the muon ((g − 2)μ) coming from light stringy states in a D-brane semi-realistic configuration. A scalar which couples only to the muon can have a mass sufficiently light to provide a significant contribution to the (g − 2)μ. This scenario can arise in intersecting D-brane models, where such light scalars correspond to the first stringy excitations of an open string stretched between two D-branes intersecting with a very small angle. In this article, we show that there is a region in the space of the geometric parameters of the internal manifold where such scalar light stringy states can explain (part) of the observed discrepancy in the (g − 2)μ. In a low string scale framework with Ms ≳ 10 TeV, we show that an excited Higgs with mass \( \mathcal{O} \)(250 MeV), living in an intersection with an angle of order \( \mathcal{O} \)(10−10), can provide a significant contribution of one-tenth of the (g − 2)μ discrepancy. This leads to a lower bound for the compact dimension where the branes intersect of order \( \mathcal{O} \)(10−8 GeV−1). We also study patterns in D-brane configurations that realize our proposal, both in three and four stacks models.
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References
A. Landé, Über den anomalen zeemaneffekt, Naturwissenschaften 9 (2005) 926.
B. Povh, K. Rith, C. Scholz, M. Lavelle and F. Zetsche, Particles and Nuclei: An Introduction to the Physical Concepts, Springer (1999).
M.D. Schwartz, Quantum Field Theory and the Standard Model, Cambridge University Press (2014) [DOI].
M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory, Westview Press (1995).
J.S. Schwinger, On Quantum electrodynamics and the magnetic moment of the electron, Phys. Rev. 73 (1948) 416 [INSPIRE].
F. Hutchinson, The Self-Diffusion Coefficient of Argon, Phys. Rev. 72 (1947) 1256 [INSPIRE].
P. Kusch and H.M. Foley, The Magnetic Moment of the Electron, Phys. Rev. 74 (1948) 250 [INSPIRE].
H.M. Foley and P. Kusch, On the Intrinsic Moment of the Electron, Phys. Rev. 73 (1948) 412 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
A.L. Kataev, The Comments on QED contributions to (g − 2)μ, in 12th Lomonosov Conference on Elementary Particle Physics, Moscow Russian Federation, August 25–31 2005 [Particle Physics at the Year of 250th Anniversary of Moscow University (2006), pp. 345–349] [DOI] [hep-ph/0602098] [INSPIRE].
M. Passera, The Standard model prediction of the muon anomalous magnetic moment, J. Phys. G 31 (2005) R75 [hep-ph/0411168] [INSPIRE].
A. Kurz, T. Liu, P. Marquard, A. Smirnov, V. 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].
S. Laporta, High-precision calculation of the 4-loop contribution to the electron g − 2 in QED, Phys. Lett. B 772 (2017) 232 [arXiv:1704.06996] [INSPIRE].
T. Aoyama, T. Kinoshita and M. Nio, Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment, Phys. Rev. D 97 (2018) 036001 [arXiv:1712.06060] [INSPIRE].
T. Kinoshita and M. Nio, Improved α4 term of the muon anomalous magnetic moment, Phys. Rev. D 70 (2004) 113001 [hep-ph/0402206] [INSPIRE].
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].
T. Aoyama et al., The anomalous magnetic moment of the muon in the Standard Model, Phys. Rept. 887 (2020) 1 [arXiv:2006.04822] [INSPIRE].
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].
A. Keshavarzi, D. Nomura and T. Teubner, g − 2 of charged leptons, α(\( {M}_Z^2 \)), and the hyperfine splitting of muonium, Phys. Rev. D 101 (2020) 014029 [arXiv:1911.00367] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to α(\( {m}_Z^2 \)), Eur. Phys. J. C 80 (2020) 241 [Erratum ibid. 80 (2020) 410] [arXiv:1908.00921] [INSPIRE].
M. Hoferichter, B.-L. Hoid and B. Kubis, Three-pion contribution to hadronic vacuum polarization, JHEP 08 (2019) 137 [arXiv:1907.01556] [INSPIRE].
G. Colangelo, M. Hoferichter and P. Stoffer, Two-pion contribution to hadronic vacuum polarization, JHEP 02 (2019) 006 [arXiv:1810.00007] [INSPIRE].
A. Keshavarzi, D. Nomura and T. Teubner, Muon g − 2 and α(\( {M}_Z^2 \)): a new data-based analysis, Phys. Rev. D 97 (2018) 114025 [arXiv:1802.02995] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g − 2 and α(\( {m}_Z^2 \)) using newest hadronic cross-section data, Eur. Phys. J. C 77 (2017) 827 [arXiv:1706.09436] [INSPIRE].
K. Melnikov and A. Vainshtein, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited, Phys. Rev. D 70 (2004) 113006 [hep-ph/0312226] [INSPIRE].
P. Masjuan and P. Sanchez-Puertas, Pseudoscalar-pole contribution to the (gμ − 2): a rational approach, Phys. Rev. D 95 (2017) 054026 [arXiv:1701.05829] [INSPIRE].
G. Colangelo, M. Hoferichter, M. Procura and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: two-pion contributions, JHEP 04 (2017) 161 [arXiv:1702.07347] [INSPIRE].
M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold and S.P. Schneider, Dispersion relation for hadronic light-by-light scattering: pion pole, JHEP 10 (2018) 141 [arXiv:1808.04823] [INSPIRE].
A. Gérardin, H.B. Meyer and A. Nyffeler, Lattice calculation of the pion transition form factor with Nf = 2 + 1 Wilson quarks, Phys. Rev. D 100 (2019) 034520 [arXiv:1903.09471] [INSPIRE].
J. Bijnens, N. Hermansson-Truedsson and A. Rodríguez-Sánchez, Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment, Phys. Lett. B 798 (2019) 134994 [arXiv:1908.03331] [INSPIRE].
G. Colangelo, F. Hagelstein, M. Hoferichter, L. Laub and P. Stoffer, Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g − 2)μ with large-Nc Regge models, JHEP 03 (2020) 101 [arXiv:1910.13432] [INSPIRE].
V. Pauk and M. Vanderhaeghen, Single meson contributions to the muon‘s anomalous magnetic moment, Eur. Phys. J. C 74 (2014) 3008 [arXiv:1401.0832] [INSPIRE].
I. Danilkin and M. Vanderhaeghen, Light-by-light scattering sum rules in light of new data, Phys. Rev. D 95 (2017) 014019 [arXiv:1611.04646] [INSPIRE].
M. Knecht, S. Narison, A. Rabemananjara and D. Rabetiarivony, Scalar meson contributions to a μ from hadronic light-by-light scattering, Phys. Lett. B 787 (2018) 111 [arXiv:1808.03848] [INSPIRE].
G. Eichmann, C.S. Fischer and R. Williams, Kaon-box contribution to the anomalous magnetic moment of the muon, Phys. Rev. D 101 (2020) 054015 [arXiv:1910.06795] [INSPIRE].
P. Roig and P. Sanchez-Puertas, Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment, Phys. Rev. D 101 (2020) 074019 [arXiv:1910.02881] [INSPIRE].
C. Gnendiger, D. Stöckinger and H. Stöckinger-Kim, The electroweak contributions to (g − 2)μ after the Higgs boson mass measurement, Phys. Rev. D 88 (2013) 053005 [arXiv:1306.5546] [INSPIRE].
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. 73 (2006) 119901] [hep-ph/0212229] [INSPIRE].
Muon g-2 collaboration, Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm, Phys. Rev. Lett. 126 (2021) 141801 [arXiv:2104.03281] [INSPIRE].
M. Otani, J-PARC E34 g − 2/EDM experiment, PoS HQL2018 (2018) 066 [INSPIRE].
E. Kiritsis and P. Anastasopoulos, The Anomalous magnetic moment of the muon in the D-brane realization of the standard model, JHEP 05 (2002) 054 [hep-ph/0201295] [INSPIRE].
P. Anastasopoulos, Orientifolds, anomalies and the standard model, Ph.D. Thesis, Department of Physics, University of Crete, Heraklion, Greece (2005) hep-th/0503055 [INSPIRE].
R. Armillis, C. Corianò, M. Guzzi and S. Morelli, Axions and Anomaly-Mediated Interactions: The Green-Schwarz and Wess-Zumino Vertices at Higher Orders and g − 2 of the muon, JHEP 10 (2008) 034 [arXiv:0808.1882] [INSPIRE].
L.A. Anchordoqui, I. Antoniadis, X. Huang, D. Lüst and T.R. Taylor, Muon Discrepancy Within D-brane String Compactifications, Fortsch. Phys. 69 (2021) 2100084 [arXiv:2104.06854] [INSPIRE].
L.A. Anchordoqui, I. Antoniadis, X. Huang, D. Lüst and T.R. Taylor, Leptophilic U(1) massive vector bosons from large extra dimensions, Phys. Lett. B 820 (2021) 136585 [arXiv:2105.02630] [INSPIRE].
L.A. Anchordoqui, I. Antoniadis, X. Huang, D. Lüst, F. Rondeau and T.R. Taylor, Leptophilic U(1) Massive Vector Bosons from Large Extra Dimensions: Reexamination of Constraints from LEP Data, Phys. Lett. B 828 (2022) 137014 [arXiv:2110.01247] [INSPIRE].
P. Anastasopoulos, K. Kaneta, E. Kiritsis and Y. Mambrini, Anomalous and axial Z’ contributions to g − 2, arXiv:2209.12947 [INSPIRE].
R. Blumenhagen, L. Görlich, B. Körs and D. Lüst, Noncommutative compactifications of type-I strings on tori with magnetic background flux, JHEP 10 (2000) 006 [hep-th/0007024] [INSPIRE].
C. Angelantonj, I. Antoniadis, E. Dudas and A. Sagnotti, Type I strings on magnetized orbifolds and brane transmutation, Phys. Lett. B 489 (2000) 223 [hep-th/0007090] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, Intersecting brane worlds, JHEP 02 (2001) 047 [hep-ph/0011132] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, D = 4 chiral string compactifications from intersecting branes, J. Math. Phys. 42 (2001) 3103 [hep-th/0011073] [INSPIRE].
R. Blumenhagen, B. Körs and D. Lüst, Type I strings with F flux and B flux, JHEP 02 (2001) 030 [hep-th/0012156] [INSPIRE].
L.E. Ibáñez, F. Marchesano and R. Rabadán, Getting just the standard model at intersecting branes, JHEP 11 (2001) 002 [hep-th/0105155] [INSPIRE].
R. Blumenhagen, B. Körs, D. Lüst and T. Ott, The standard model from stable intersecting brane world orbifolds, Nucl. Phys. B 616 (2001) 3 [hep-th/0107138] [INSPIRE].
M. Cvetič, G. Shiu and A.M. Uranga, Three family supersymmetric standard-like models from intersecting brane worlds, Phys. Rev. Lett. 87 (2001) 201801 [hep-th/0107143] [INSPIRE].
M. Cvetič, G. Shiu and A.M. Uranga, Chiral four-dimensional N = 1 supersymmetric type 2A orientifolds from intersecting D6 branes, Nucl. Phys. B 615 (2001) 3 [hep-th/0107166] [INSPIRE].
R. Blumenhagen, M. Cvetič, P. Langacker and G. Shiu, Toward realistic intersecting D-brane models, Ann. Rev. Nucl. Part. Sci. 55 (2005) 71 [hep-th/0502005] [INSPIRE].
R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [INSPIRE].
P. Anastasopoulos, T.P.T. Dijkstra, E. Kiritsis and A.N. Schellekens, Orientifolds, hypercharge embeddings and the Standard Model, Nucl. Phys. B 759 (2006) 83 [hep-th/0605226] [INSPIRE].
P. Anastasopoulos, M. Cvetič, R. Richter and P.K.S. Vaudrevange, String Constraints on Discrete Symmetries in MSSM Type II Quivers, JHEP 03 (2013) 011 [arXiv:1211.1017] [INSPIRE].
P. Anastasopoulos, R. Richter and A.N. Schellekens, Discrete symmetries from hidden sectors, JHEP 06 (2015) 189 [arXiv:1502.02686] [INSPIRE].
I. Antoniadis and F. Rondeau, Minimal embedding of the Standard Model into intersecting D-brane configurations with a bulk leptonic U(1), Eur. Phys. J. C 82 (2022) 701 [arXiv:2112.07587] [INSPIRE].
E. Kiritsis, D-branes in standard model building, gravity and cosmology, Phys. Rept. 421 (2005) 105 [Erratum ibid. 429 (2006) 121] [hep-th/0310001] [INSPIRE].
P. Betzios, E. Kiritsis and V. Niarchos, Emergent gravity from hidden sectors and TT deformations, JHEP 02 (2021) 202 [arXiv:2010.04729] [INSPIRE].
P. Anastasopoulos, P. Betzios, M. Bianchi, D. Consoli and E. Kiritsis, Emergent/Composite axions, JHEP 10 (2019) 113 [arXiv:1811.05940] [INSPIRE].
P. Betzios, E. Kiritsis, V. Niarchos and O. Papadoulaki, Global symmetries, hidden sectors and emergent (dark) vector interactions, JHEP 12 (2020) 053 [arXiv:2006.01840] [INSPIRE].
P. Anastasopoulos, M. Bianchi, D. Consoli and E. Kiritsis, String (Gravi)photons, “Dark Brane Photons”, Holography and the Hypercharge Portal, Fortsch. Phys. 69 (2021) 2100034 [arXiv:2010.07320] [INSPIRE].
P. Anastasopoulos and E. Kiritsis, Emergent neutrinos from heavy messengers, JHEP 06 (2022) 128 [arXiv:2201.11641] [INSPIRE].
P. Anastasopoulos, K. Kaneta, Y. Mambrini and M. Pierre, Energy-momentum portal to dark matter and emergent gravity, Phys. Rev. D 102 (2020) 055019 [arXiv:2007.06534] [INSPIRE].
P. Anastasopoulos, Emergent fields from hidden sectors, J. Phys. Conf. Ser. 2105 (2021) 012002 [INSPIRE].
A. Sagnotti, A Note on the Green-Schwarz mechanism in open string theories, Phys. Lett. B 294 (1992) 196 [hep-th/9210127] [INSPIRE].
L.E. Ibáñez, R. Rabadán and A.M. Uranga, Anomalous U(1)’s in type-I and type IIB D = 4, N = 1 string vacua, Nucl. Phys. B 542 (1999) 112 [hep-th/9808139] [INSPIRE].
E. Poppitz, On the one loop Fayet-Iliopoulos term in chiral four-dimensional type-I orbifolds, Nucl. Phys. B 542 (1999) 31 [hep-th/9810010] [INSPIRE].
P. Anastasopoulos, M. Bianchi, E. Dudas and E. Kiritsis, Anomalies, anomalous U(1)’s and generalized Chern-Simons terms, JHEP 11 (2006) 057 [hep-th/0605225] [INSPIRE].
P. Anastasopoulos, Phenomenological properties of unoriented D-brane models, Int. J. Mod. Phys. A 22 (2007) 5808 [INSPIRE].
P. Anastasopoulos, F. Fucito, A. Lionetto, G. Pradisi, A. Racioppi and Y.S. Stanev, Minimal Anomalous U(1)′ Extension of the MSSM, Phys. Rev. D 78 (2008) 085014 [arXiv:0804.1156] [INSPIRE].
P. Anastasopoulos, M. Bianchi and D. Consoli, Yukawa’s of light stringy states, Fortsch. Phys. 65 (2017) 1600110 [arXiv:1609.09299] [INSPIRE].
I. Antoniadis, E. Kiritsis and T. Tomaras, D-brane standard model, Fortsch. Phys. 49 (2001) 573 [hep-th/0111269] [INSPIRE].
I. Antoniadis, E. Kiritsis, J. Rizos and T.N. Tomaras, D-branes and the standard model, Nucl. Phys. B 660 (2003) 81 [hep-th/0210263] [INSPIRE].
P. Anastasopoulos and E. Niederwieser, Lifetimes of light stringy states, Nucl. Phys. B 978 (2022) 115749.
P. Anastasopoulos and R. Richter, Twisted state production, PoS CORFU2014 (2015) 116 [INSPIRE].
P. Anastasopoulos and M. Bianchi, Revisiting light stringy states in view of the 750 GeV diphoton excess, Nucl. Phys. B 911 (2016) 928 [arXiv:1601.07584] [INSPIRE].
P. Anastasopoulos, M. Bianchi and D. Consoli, Yukawa couplings for light stringy states, PoS EPS-HEP2017 (2017) 538 [INSPIRE].
P. Anastasopoulos, M. Bianchi and D. Consoli, Yukawas of light stringy states (at D-brane intersections), PoS CORFU2017 (2018) 055 [INSPIRE].
J.L. Feng et al., The Forward Physics Facility at the High-Luminosity LHC, arXiv:2203.05090 [INSPIRE].
M. Cvetič, J. Halverson and R. Richter, Realistic Yukawa structures from orientifold compactifications, JHEP 12 (2009) 063 [arXiv:0905.3379] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana Masses from String Theory Instanton Effects, JHEP 03 (2007) 052 [hep-th/0609213] [INSPIRE].
P. Anastasopoulos and A. Lionetto, Quark mass hierarchies in D-brane realizations of the Standard Model, Fortsch. Phys. 58 (2010) 703 [arXiv:0912.0121] [INSPIRE].
M. Cvetič, J. Halverson and R. Richter, Mass Hierarchies from MSSM Orientifold Compactifications, JHEP 07 (2010) 005 [arXiv:0909.4292] [INSPIRE].
M. Cvetič, J. Halverson and R. Richter, Mass Hierarchies versus proton Decay in MSSM Orientifold Compactifications, arXiv:0910.2239 [INSPIRE].
P.G. Cámara, C. Condeescu, E. Dudas and M. Lennek, Non-perturbative Vacuum Destabilization and D-brane Dynamics, JHEP 06 (2010) 062 [arXiv:1003.5805] [INSPIRE].
P. Anastasopoulos, G.K. Leontaris and N.D. Vlachos, Phenomenological Analysis of D-brane Pati-Salam Vacua, JHEP 05 (2010) 011 [arXiv:1002.2937] [INSPIRE].
P. Anastasopoulos, G.K. Leontaris, R. Richter and A.N. Schellekens, SU(5) D-brane realizations, Yukawa couplings and proton stability, JHEP 12 (2010) 011 [arXiv:1010.5188] [INSPIRE].
P. Anastasopoulos, G.K. Leontaris, R. Richter and A.N. Schellekens, Avoiding disastrous couplings in SU(5) orientifolds, Fortsch. Phys. 59 (2011) 1144 [INSPIRE].
B. Batell, A. Freitas, A. Ismail and D. Mckeen, Flavor-specific scalar mediators, Phys. Rev. D 98 (2018) 055026 [arXiv:1712.10022] [INSPIRE].
H. Davoudiasl and W.J. Marciano, Tale of two anomalies, Phys. Rev. D 98 (2018) 075011 [arXiv:1806.10252] [INSPIRE].
M. Cvetič and I. Papadimitriou, Conformal field theory couplings for intersecting D-branes on orientifolds, Phys. Rev. D 68 (2003) 046001 [Erratum ibid. 70 (2004) 029903] [hep-th/0303083] [INSPIRE].
P. Anastasopoulos, E. Kiritsis and A. Lionetto, On mass hierarchies in orientifold vacua, JHEP 08 (2009) 026 [arXiv:0905.3044] [INSPIRE].
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Anastasopoulos, P., Niederwieser, E. & Rondeau, F. Light stringy states and the g − 2 of the muon. J. High Energ. Phys. 2022, 120 (2022). https://doi.org/10.1007/JHEP11(2022)120
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DOI: https://doi.org/10.1007/JHEP11(2022)120