Abstract
When the Froggatt-Nielsen mechanism is used to explain the Standard Model flavor hierarchy, new physics couplings are also determined by the horizontal symmetry. However, additional symmetries or dynamics in the UV can sometimes lead to a departure from this naïve scaling for the new physics couplings. We show that an effective way to keep track of these changes is by using the new spurions of the U(3)5 global flavor symmetry, where we parameterize extra suppression or enhancement factors, referred to as wrinkles, using the same power counting parameter as in the original Froggatt-Nielsen model. As a concrete realization, we consider two flavor spurions of the S1 leptoquark, and demonstrate that wrinkles can be used to make an enhanced value of \( \textrm{BR}\left({B}^{+}\to {K}^{+}\nu \overline{\nu}\right) \) consistent with other flavor observables. We also present example UV models that realize wrinkles, and comment on choosing consistent charges in ordinary Froggatt-Nielsen models without the typical monotonicity condition.
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J.D. Bjorken and S.L. Glashow, Elementary Particles and SU(4), Phys. Lett. 11 (1964) 255 [INSPIRE].
S.L. Glashow, J. Iliopoulos and L. Maiani, Weak Interactions with Lepton-Hadron Symmetry, Phys. Rev. D 2 (1970) 1285 [INSPIRE].
B.A. Campbell and P.J. O’Donnell, Mass of the Top Quark and Induced Decay and Neutral Mixing of B Mesons, Phys. Rev. D 25 (1982) 1989 [INSPIRE].
M.A. Shifman, Theoretical Status of Weak Decays, Nucl. Phys. B Proc. Suppl. 3 (1988) 289 [INSPIRE].
J.R. Ellis, J.S. Hagelin, S. Rudaz and D.D. Wu, Implications of recent measurements of B meson mixing and ϵ′/ϵK, Nucl. Phys. B 304 (1988) 205 [INSPIRE].
A.D. Martin, Top and Bottom Physics: The K-M Matrix and CP Violation, J. Phys. G 15 (1989) 1073 [INSPIRE].
CDF collaboration, Observation of top quark production in \( \overline{p}p \) collisions, Phys. Rev. Lett. 74 (1995) 2626 [hep-ex/9503002] [INSPIRE].
D0 collaboration, Observation of the top quark, Phys. Rev. Lett. 74 (1995) 2632 [hep-ex/9503003] [INSPIRE].
R.K. Ellis et al., Physics Briefing Book: Input for the European Strategy for Particle Physics Update 2020, arXiv:1910.11775 [INSPIRE].
M. Artuso et al., Report of the Frontier For Rare Processes and Precision Measurements, arXiv:2210.04765 [INSPIRE].
C.D. Froggatt and H.B. Nielsen, Hierarchy of Quark Masses, Cabibbo Angles and CP Violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
M. Leurer, Y. Nir and N. Seiberg, Mass matrix models, Nucl. Phys. B 398 (1993) 319 [hep-ph/9212278] [INSPIRE].
M. Leurer, Y. Nir and N. Seiberg, Mass matrix models: The Sequel, Nucl. Phys. B 420 (1994) 468 [hep-ph/9310320] [INSPIRE].
P. Pouliot and N. Seiberg, (S)quark masses and nonAbelian horizontal symmetries, Phys. Lett. B 318 (1993) 169 [hep-ph/9308363] [INSPIRE].
V. Jain and R. Shrock, Models of fermion mass matrices based on a flavor dependent and generation dependent U(1) gauge symmetry, Phys. Lett. B 352 (1995) 83 [hep-ph/9412367] [INSPIRE].
N. Arkani-Hamed and M. Schmaltz, Hierarchies without symmetries from extra dimensions, Phys. Rev. D 61 (2000) 033005 [hep-ph/9903417] [INSPIRE].
T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [INSPIRE].
S.J. Huber and Q. Shafi, Fermion masses, mixings and proton decay in a Randall-Sundrum model, Phys. Lett. B 498 (2001) 256 [hep-ph/0010195] [INSPIRE].
D.E. Kaplan and T.M.P. Tait, New tools for fermion masses from extra dimensions, JHEP 11 (2001) 051 [hep-ph/0110126] [INSPIRE].
A. Ahmed et al., Dynamical origin of fermion bulk masses in a warped extra dimension, JHEP 08 (2019) 045 [arXiv:1905.09833] [INSPIRE].
S. Girmohanta, R.N. Mohapatra and R. Shrock, Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions, Phys. Rev. D 103 (2021) 015021 [arXiv:2011.01237] [INSPIRE].
A.E. Nelson and M.J. Strassler, Suppressing flavor anarchy, JHEP 09 (2000) 030 [hep-ph/0006251] [INSPIRE].
S. Weinberg, Electromagnetic and weak masses, Phys. Rev. Lett. 29 (1972) 388 [INSPIRE].
H. Georgi and S.L. Glashow, Attempts to calculate the electron mass, Phys. Rev. D 7 (1973) 2457 [INSPIRE].
S.M. Barr and A. Zee, A New Approach to the electron-Muon Mass Ratio, Phys. Rev. D 15 (1977) 2652 [INSPIRE].
B.S. Balakrishna, A.L. Kagan and R.N. Mohapatra, Quark Mixings and Mass Hierarchy From Radiative Corrections, Phys. Lett. B 205 (1988) 345 [INSPIRE].
K.S. Babu, TASI Lectures on Flavor Physics, in the proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics: The Dawn of the LHC Era, Boulder U.S.A., June 2–27 (2008), p. 49–123 [https://doi.org/10.1142/9789812838360_0002] [arXiv:0910.2948] [INSPIRE].
F. Feruglio, Pieces of the Flavour Puzzle, Eur. Phys. J. C 75 (2015) 373 [arXiv:1503.04071] [INSPIRE].
F. Feruglio and A. Romanino, Lepton flavor symmetries, Rev. Mod. Phys. 93 (2021) 015007 [arXiv:1912.06028] [INSPIRE].
A. Smolkovič, M. Tammaro and J. Zupan, Anomaly free Froggatt-Nielsen models of flavor, JHEP 10 (2019) 188 [Erratum ibid. 02 (2022) 033] [arXiv:1907.10063] [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].
D. Egana-Ugrinovic, S. Homiller and P. Meade, Aligned and Spontaneous Flavor Violation, Phys. Rev. Lett. 123 (2019) 031802 [arXiv:1811.00017] [INSPIRE].
Y. Nir and N. Seiberg, Should squarks be degenerate?, Phys. Lett. B 309 (1993) 337 [hep-ph/9304307] [INSPIRE].
T. Feldmann and T. Mannel, Minimal Flavour Violation and Beyond, JHEP 02 (2007) 067 [hep-ph/0611095] [INSPIRE].
M. Bordone, O. Catà and T. Feldmann, Effective Theory Approach to New Physics with Flavour: General Framework and a Leptoquark Example, JHEP 01 (2020) 067 [arXiv:1910.02641] [INSPIRE].
M. Bordone, O. Catà, T. Feldmann and R. Mandal, Constraining flavour patterns of scalar leptoquarks in the effective field theory, JHEP 03 (2021) 122 [arXiv:2010.03297] [INSPIRE].
I. Doršner et al., Physics of leptoquarks in precision experiments and at particle colliders, Phys. Rept. 641 (2016) 1 [arXiv:1603.04993] [INSPIRE].
E. Baver and M. Leurer, Naturally light leptoquarks, Phys. Rev. D 51 (1995) 260 [hep-ph/9407324] [INSPIRE].
I. de Medeiros Varzielas and G. Hiller, Clues for flavor from rare lepton and quark decays, JHEP 06 (2015) 072 [arXiv:1503.01084] [INSPIRE].
G. Hiller, D. Loose and K. Schönwald, Leptoquark Flavor Patterns & B Decay Anomalies, JHEP 12 (2016) 027 [arXiv:1609.08895] [INSPIRE].
Belle-II collaboration, Search for \( {B}^{+}\to {K}^{+}\nu \overline{\nu} \) Decays Using an Inclusive Tagging Method at Belle II, Phys. Rev. Lett. 127 (2021) 181802 [arXiv:2104.12624] [INSPIRE].
L. Wolfenstein, Parametrization of the Kobayashi-Maskawa Matrix, Phys. Rev. Lett. 51 (1983) 1945 [INSPIRE].
N. Cabibbo, Unitary Symmetry and Leptonic Decays, Phys. Rev. Lett. 10 (1963) 531 [INSPIRE].
M. Kobayashi and T. Maskawa, CP Violation in the Renormalizable Theory of Weak Interaction, Prog. Theor. Phys. 49 (1973) 652 [INSPIRE].
B. Pontecorvo, Inverse beta processes and nonconservation of lepton charge, Zh. Eksp. Teor. Fiz. 34 (1957) 247 [INSPIRE].
Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].
D. Aloni et al., Spontaneous CP violation and horizontal symmetry in the MSSM: toward lepton flavor naturalness, JHEP 09 (2021) 031 [arXiv:2104.02679] [INSPIRE].
C. Cornella, D. Curtin, E.T. Neil and J.O. Thompson, Mapping and Probing Froggatt-Nielsen Solutions to the Quark Flavor Puzzle, arXiv:2306.08026 [INSPIRE].
Y. Nir and R. Rattazzi, Solving the supersymmetric CP problem with Abelian horizontal symmetries, Phys. Lett. B 382 (1996) 363 [hep-ph/9603233] [INSPIRE].
Y. Nakai, M. Reece and M. Suzuki, Supersymmetric alignment models for (g – 2)μ, JHEP 10 (2021) 068 [arXiv:2107.10268] [INSPIRE].
M. Fedele, A. Mastroddi and M. Valli, Minimal Froggatt-Nielsen textures, JHEP 03 (2021) 135 [arXiv:2009.05587] [INSPIRE].
T. Banks and N. Seiberg, Symmetries and Strings in Field Theory and Gravity, Phys. Rev. D 83 (2011) 084019 [arXiv:1011.5120] [INSPIRE].
A. Davidson and K.C. Wali, Minimal flavor unification via multigenerational Peccei-Quinn symmetry, Phys. Rev. Lett. 48 (1982) 11 [INSPIRE].
A. Davidson, V.P. Nair and K.C. Wali, Peccei-Quinn Symmetry as Flavor Symmetry and Grand Unification, Phys. Rev. D 29 (1984) 1504 [INSPIRE].
F. Wilczek, Axions and Family Symmetry Breaking, Phys. Rev. Lett. 49 (1982) 1549 [INSPIRE].
Y. Ema, K. Hamaguchi, T. Moroi and K. Nakayama, Flaxion: a minimal extension to solve puzzles in the standard model, JHEP 01 (2017) 096 [arXiv:1612.05492] [INSPIRE].
L. Calibbi et al., Minimal axion model from flavor, Phys. Rev. D 95 (2017) 095009 [arXiv:1612.08040] [INSPIRE].
Q. Bonnefoy, E. Dudas and S. Pokorski, Chiral Froggatt-Nielsen models, gauge anomalies and flavourful axions, JHEP 01 (2020) 191 [arXiv:1909.05336] [INSPIRE].
B.C. Allanach, J. Davighi and S. Melville, An Anomaly-free Atlas: charting the space of flavour-dependent gauged U(1) extensions of the Standard Model, JHEP 02 (2019) 082 [Erratum ibid. 08 (2019) 064] [arXiv:1812.04602] [INSPIRE].
D.B. Costa, B.A. Dobrescu and P.J. Fox, General Solution to the U(1) Anomaly Equations, Phys. Rev. Lett. 123 (2019) 151601 [arXiv:1905.13729] [INSPIRE].
M.B. Green and J.H. Schwarz, Anomaly Cancellation in Supersymmetric D = 10 Gauge Theory and Superstring Theory, Phys. Lett. B 149 (1984) 117 [INSPIRE].
R. Barbier et al., R-parity violating supersymmetry, Phys. Rept. 420 (2005) 1 [hep-ph/0406039] [INSPIRE].
J.M. Arnold, B. Fornal and M.B. Wise, Phenomenology of scalar leptoquarks, Phys. Rev. D 88 (2013) 035009 [arXiv:1304.6119] [INSPIRE].
W. Altmannshofer, J. Davighi and M. Nardecchia, Gauging the accidental symmetries of the standard model, and implications for the flavor anomalies, Phys. Rev. D 101 (2020) 015004 [arXiv:1909.02021] [INSPIRE].
G. Buchalla and A.J. Buras, The rare decays \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) and KL → μ+μ− beyond leading logarithms, Nucl. Phys. B 412 (1994) 106 [hep-ph/9308272] [INSPIRE].
M. Misiak and J. Urban, QCD corrections to FCNC decays mediated by Z penguins and W boxes, Phys. Lett. B 451 (1999) 161 [hep-ph/9901278] [INSPIRE].
G. Buchalla and A.J. Buras, The rare decays \( K\to \pi \nu \overline{\nu} \), \( B\to X\nu \overline{\nu} \) and B → l+l−: An Update, Nucl. Phys. B 548 (1999) 309 [hep-ph/9901288] [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].
P. Ball and R. Zwicky, Bd,s → ρ, ω, K∗, ϕ decay form-factors from light-cone sum rules revisited, Phys. Rev. D 71 (2005) 014029 [hep-ph/0412079] [INSPIRE].
A. Khodjamirian, T. Mannel, A.A. Pivovarov and Y.-M. Wang, Charm-loop effect in B → K(∗)ℓ+ℓ− and B → K∗γ, JHEP 09 (2010) 089 [arXiv:1006.4945] [INSPIRE].
J. Brod, M. Gorbahn and E. Stamou, Two-Loop Electroweak Corrections for the \( K\to \pi \nu \overline{\nu} \) Decays, Phys. Rev. D 83 (2011) 034030 [arXiv:1009.0947] [INSPIRE].
HPQCD collaboration, Rare decay B → Kℓ+ℓ− form factors from lattice QCD, Phys. Rev. D 88 (2013) 054509 [Erratum ibid. 88 (2013) 079901] [arXiv:1306.2384] [INSPIRE].
R.R. Horgan, Z. Liu, S. Meinel and M. Wingate, Lattice QCD calculation of form factors describing the rare decays B → K∗ℓ+ℓ− and Bs → ϕℓ+ℓ−, Phys. Rev. D 89 (2014) 094501 [arXiv:1310.3722] [INSPIRE].
W. Altmannshofer, A.J. Buras, D.M. Straub and M. Wick, New strategies for New Physics search in \( B\to {K}^{\ast}\nu \overline{\nu} \), \( B\to K\nu \overline{\nu} \) and \( B\to {X}_s\nu \overline{\nu} \) decays, JHEP 04 (2009) 022 [arXiv:0902.0160] [INSPIRE].
A.J. Buras, J. Girrbach-Noe, C. Niehoff and D.M. Straub, \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) decays in the Standard Model and beyond, JHEP 02 (2015) 184 [arXiv:1409.4557] [INSPIRE].
T. Blake, G. Lanfranchi and D.M. Straub, Rare B Decays as Tests of the Standard Model, Prog. Part. Nucl. Phys. 92 (2017) 50 [arXiv:1606.00916] [INSPIRE].
Belle collaboration, Search for \( B\to {h}^{\left(\ast \right)}\nu \overline{\nu} \) with the full Belle ϒ(4S) data sample, Phys. Rev. D 87 (2013) 111103 [arXiv:1303.3719] [INSPIRE].
BaBar collaboration, Search for \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) and invisible quarkonium decays, Phys. Rev. D 87 (2013) 112005 [arXiv:1303.7465] [INSPIRE].
Belle collaboration, Search for \( B\to h\nu \overline{\nu} \) decays with semileptonic tagging at Belle, Phys. Rev. D 96 (2017) 091101 [Addendum ibid. 97 (2018) 099902] [arXiv:1702.03224] [INSPIRE].
Belle-II collaboration, The Belle II Physics Book, PTEP 2019 (2019) 123C01 [Erratum ibid. 2020 (2020) 029201] [arXiv:1808.10567] [INSPIRE].
M. Bauer and M. Neubert, Minimal Leptoquark Explanation for the \( {R}_{D^{\left(\ast \right)}} \), RK, and (g – 2)μ Anomalies, Phys. Rev. Lett. 116 (2016) 141802 [arXiv:1511.01900] [INSPIRE].
D. Bečirević, N. Košnik, O. Sumensari and R. Zukanovich Funchal, Palatable Leptoquark Scenarios for Lepton Flavor Violation in Exclusive b → sℓ1ℓ2 modes, JHEP 11 (2016) 035 [arXiv:1608.07583] [INSPIRE].
T.S. Roussy et al., An improved bound on the electron’s electric dipole moment, Science 381 (2023) adg4084 [arXiv:2212.11841] [INSPIRE].
C.J. Ho et al., New techniques for a measurement of the electron’s electric dipole moment, New J. Phys. 22 (2020) 053031 [arXiv:2002.02332] [INSPIRE].
N.J. Fitch et al., Methods for measuring the electron’s electric dipole moment using ultracold YbF molecules, Quantum Sci. Technol. 6 (2021) 014006 [arXiv:2009.00346] [INSPIRE].
MEG collaboration, Search for the lepton flavour violating decay μ+ → e+γ with the full dataset of the MEG experiment, Eur. Phys. J. C 76 (2016) 434 [arXiv:1605.05081] [INSPIRE].
MEG II collaboration, The design of the MEG II experiment, Eur. Phys. J. C 78 (2018) 380 [arXiv:1801.04688] [INSPIRE].
SINDRUM II collaboration, A Search for muon to electron conversion in muonic gold, Eur. Phys. J. C 47 (2006) 337 [INSPIRE].
Mu2e collaboration, Mu2e Technical Design Report, arXiv:1501.05241 [10.2172/1172555] [INSPIRE].
Mu2e collaboration, Expression of Interest for Evolution of the Mu2e Experiment, arXiv:1802.02599 [INSPIRE].
Belle collaboration, Search for lepton-flavor-violating tau-lepton decays to ℓγ at Belle, JHEP 10 (2021) 019 [arXiv:2103.12994] [INSPIRE].
Belle-II collaboration, Snowmass White Paper: Belle II physics reach and plans for the next decade and beyond, arXiv:2207.06307 [INSPIRE].
S. Banerjee, Searches for Lepton Flavor Violation in Tau Decays at Belle II, Universe 8 (2022) 480 [arXiv:2209.11639] [INSPIRE].
NA62 collaboration, Measurement of the very rare \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) decay, JHEP 06 (2021) 093 [arXiv:2103.15389] [INSPIRE].
NA62 and KLEVER collaborations, Rare decays at the CERN high-intensity kaon beam facility, arXiv:2009.10941 [INSPIRE].
A. Cerri et al., Report from Working Group 4: Opportunities in Flavour Physics at the HL-LHC and HE-LHC, CERN Yellow Rep. Monogr. 7 (2019) 867 [arXiv:1812.07638] [INSPIRE].
A.J. Buras, D. Buttazzo, J. Girrbach-Noe and R. Knegjens, \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) and \( {K}_L\to {\pi}^0\nu \overline{\nu} \) in the Standard Model: status and perspectives, JHEP 11 (2015) 033 [arXiv:1503.02693] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
Muon g-2 collaboration, Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [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].
S. Borsanyi et al., Leading hadronic contribution to the muon magnetic moment from lattice QCD, Nature 593 (2021) 51 [arXiv:2002.12347] [INSPIRE].
chiQCD collaboration, Muon g – 2 with overlap valence fermions, Phys. Rev. D 107 (2023) 034513 [arXiv:2204.01280] [INSPIRE].
M. Cè et al., Window observable for the hadronic vacuum polarization contribution to the muon g – 2 from lattice QCD, Phys. Rev. D 106 (2022) 114502 [arXiv:2206.06582] [INSPIRE].
Extended Twisted Mass collaboration, Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions, Phys. Rev. D 107 (2023) 074506 [arXiv:2206.15084] [INSPIRE].
Fermilab Lattice et al. collaborations, Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, Phys. Rev. D 106 (2022) 074509 [arXiv:2207.04765] [INSPIRE].
Fermilab Lattice et al. collaborations, Light-quark connected intermediate-window contributions to the muon g – 2 hadronic vacuum polarization from lattice QCD, Phys. Rev. D 107 (2023) 114514 [arXiv:2301.08274] [INSPIRE].
RBC and UKQCD collaborations, Update of Euclidean windows of the hadronic vacuum polarization, Phys. Rev. D 108 (2023) 054507 [arXiv:2301.08696] [INSPIRE].
CMD-3 collaboration, Measurement of the e+e− → π+π− cross section from threshold to 1.2 GeV with the CMD-3 detector, arXiv:2302.08834 [INSPIRE].
D. Stockinger, The Muon Magnetic Moment and Supersymmetry, J. Phys. G 34 (2007) R45 [hep-ph/0609168] [INSPIRE].
M. Blanke et al., Charged Lepton Flavour Violation and (g – 2)μ in the Littlest Higgs Model with T-Parity: A Clear Distinction from Supersymmetry, JHEP 05 (2007) 013 [hep-ph/0702136] [INSPIRE].
M. Pospelov, Secluded U(1) below the weak scale, Phys. Rev. D 80 (2009) 095002 [arXiv:0811.1030] [INSPIRE].
F. Feruglio, C. Hagedorn, Y. Lin and L. Merlo, Lepton Flavour Violation in Models with A(4) Flavour Symmetry, Nucl. Phys. B 809 (2009) 218 [arXiv:0807.3160] [INSPIRE].
R. Dermisek and A. Raval, Explanation of the Muon g – 2 Anomaly with Vectorlike Leptons and its Implications for Higgs Decays, Phys. Rev. D 88 (2013) 013017 [arXiv:1305.3522] [INSPIRE].
P. Agrawal, Z. Chacko and C.B. Verhaaren, Leptophilic Dark Matter and the Anomalous Magnetic Moment of the Muon, JHEP 08 (2014) 147 [arXiv:1402.7369] [INSPIRE].
L. Calibbi, P. Paradisi and R. Ziegler, Lepton Flavor Violation in Flavored Gauge Mediation, Eur. Phys. J. C 74 (2014) 3211 [arXiv:1408.0754] [INSPIRE].
L. Calibbi, R. Ziegler and J. Zupan, Minimal models for dark matter and the muon g – 2 anomaly, JHEP 07 (2018) 046 [arXiv:1804.00009] [INSPIRE].
S. Saad, Combined explanations of (g – 2)μ, \( {R}_{D^{\left(\ast \right)}} \), \( {R}_{K^{\left(\ast \right)}} \) anomalies in a two-loop radiative neutrino mass model, Phys. Rev. D 102 (2020) 015019 [arXiv:2005.04352] [INSPIRE].
L. Calibbi, M.L. López-Ibáñez, A. Melis and O. Vives, Muon and electron g – 2 and lepton masses in flavor models, JHEP 06 (2020) 087 [arXiv:2003.06633] [INSPIRE].
L. Calibbi, M.L. López-Ibáñez, A. Melis and O. Vives, Implications of the Muon g – 2 result on the flavour structure of the lepton mass matrix, Eur. Phys. J. C 81 (2021) 929 [arXiv:2104.03296] [INSPIRE].
P. Fileviez Pérez, C. Murgui and A.D. Plascencia, Leptoquarks and matter unification: Flavor anomalies and the muon g – 2, Phys. Rev. D 104 (2021) 035041 [arXiv:2104.11229] [INSPIRE].
M.L. López-Ibáñez et al., Constraining low-scale flavor models with (g – 2)μ and lepton flavor violation, Phys. Rev. D 105 (2022) 035021 [arXiv:2112.11455] [INSPIRE].
B. Diaz, M. Schmaltz and Y.-M. Zhong, The leptoquark Hunter’s guide: Pair production, JHEP 10 (2017) 097 [arXiv:1706.05033] [INSPIRE].
M. Schmaltz and Y.-M. Zhong, The leptoquark Hunter’s guide: large coupling, JHEP 01 (2019) 132 [arXiv:1810.10017] [INSPIRE].
B.C. Allanach, B. Gripaios and T. You, The case for future hadron colliders from B → K(∗)μ+μ− decays, JHEP 03 (2018) 021 [arXiv:1710.06363] [INSPIRE].
B.C. Allanach, T. Corbett and M. Madigan, Sensitivity of Future Hadron Colliders to Leptoquark Pair Production in the Di-Muon Di-Jets Channel, Eur. Phys. J. C 80 (2020) 170 [arXiv:1911.04455] [INSPIRE].
P. Bandyopadhyay, S. Dutta, M. Jakkapu and A. Karan, Distinguishing Leptoquarks at the LHC/FCC, Nucl. Phys. B 971 (2021) 115524 [arXiv:2007.12997] [INSPIRE].
G. Hiller, D. Loose and I. Nišandžić, Flavorful leptoquarks at the LHC and beyond: spin 1, JHEP 06 (2021) 080 [arXiv:2103.12724] [INSPIRE].
G.-Y. Huang, S. Jana, F.S. Queiroz and W. Rodejohann, Probing the \( {R}_{K^{\left(\ast \right)}} \) anomaly at a muon collider, Phys. Rev. D 105 (2022) 015013 [arXiv:2103.01617] [INSPIRE].
P. Asadi, R. Capdevilla, C. Cesarotti and S. Homiller, Searching for leptoquarks at future muon colliders, JHEP 10 (2021) 182 [arXiv:2104.05720] [INSPIRE].
P. Bandyopadhyay, A. Karan, R. Mandal and S. Parashar, Distinguishing signatures of scalar leptoquarks at hadron and muon colliders, Eur. Phys. J. C 82 (2022) 916 [arXiv:2108.06506] [INSPIRE].
S. Qian et al., Searching for heavy leptoquarks at a muon collider, JHEP 12 (2021) 047 [arXiv:2109.01265] [INSPIRE].
S. Parashar et al., Phenomenology of scalar leptoquarks at the LHC in explaining the radiative neutrino masses, muon g – 2, and lepton flavor violating observables, Phys. Rev. D 106 (2022) 095040 [arXiv:2209.05890] [INSPIRE].
Muon Collider collaboration, The physics case of a 3 TeV muon collider stage, arXiv:2203.07261 [INSPIRE].
COMET collaboration, COMET Phase-I Technical Design Report, PTEP 2020 (2020) 033C01 [arXiv:1812.09018] [INSPIRE].
COMET collaboration, COMET — A submission to the 2020 update of the European Strategy for Particle Physics on behalf of the COMET collaboration, arXiv:1812.07824 [INSPIRE].
Mu2e-II collaboration, Mu2e-II: Muon to electron conversion with PIP-II, in the proceedings of the Snowmass 2021, Seattle U.S.A., July 17–26 (2022) [arXiv:2203.07569] [INSPIRE].
C. Group collaboration, A New Charged Lepton Flavor Violation Program at Fermilab, in the proceedings of the Snowmass 2021, Seattle U.S.A., July 17–26 (2022) [arXiv:2203.08278] [INSPIRE].
S.A.R. Ellis and A. Pierce, Impact of Future Lepton Flavor Violation Measurements in the Minimal Supersymmetric Standard Model, Phys. Rev. D 94 (2016) 015014 [arXiv:1604.01419] [INSPIRE].
S. Homiller, Q. Lu and M. Reece, Complementary signals of lepton flavor violation at a high-energy muon collider, JHEP 07 (2022) 036 [arXiv:2203.08825] [INSPIRE].
A. Baldini et al., A submission to the 2020 update of the European Strategy for Particle Physics on behalf of the COMET, MEG, Mu2e and Mu3e collaborations, arXiv:1812.06540 [INSPIRE].
ACME collaboration, Improved limit on the electric dipole moment of the electron, Nature 562 (2018) 355 [INSPIRE].
R. Alarcon et al., Electric dipole moments and the search for new physics, in the proceedings of the Snowmass 2021, 17–26 July 2022 (2022) [arXiv:2203.08103] [INSPIRE].
UTfit collaboration, Model-independent constraints on ∆F = 2 operators and the scale of new physics, JHEP 03 (2008) 049 [arXiv:0707.0636] [INSPIRE].
UTfit collaboration, Updates in the Unitarity Triangle fits with UTfit, PoS CKM2021 (2023) 078 [INSPIRE].
E. Goudzovski et al., New physics searches at kaon and hyperon factories, Rept. Prog. Phys. 86 (2023) 016201 [arXiv:2201.07805] [INSPIRE].
K. Aoki et al., Extension of the J-PARC Hadron Experimental Facility: Third White Paper, arXiv:2110.04462 [INSPIRE].
J. Hisano, T. Moroi, K. Tobe and M. Yamaguchi, Lepton flavor violation via right-handed neutrino Yukawa couplings in supersymmetric standard model, Phys. Rev. D 53 (1996) 2442 [hep-ph/9510309] [INSPIRE].
J.R. Ellis, J.S. Lee and A. Pilaftsis, Electric Dipole Moments in the MSSM Reloaded, JHEP 10 (2008) 049 [arXiv:0808.1819] [INSPIRE].
A. Crivellin, M. Hoferichter and P. Schmidt-Wellenburg, Combined explanations of (g – 2)μ,e and implications for a large muon EDM, Phys. Rev. D 98 (2018) 113002 [arXiv:1807.11484] [INSPIRE].
C. Cesarotti et al., Interpreting the Electron EDM Constraint, JHEP 05 (2019) 059 [arXiv:1810.07736] [INSPIRE].
Y. Nakai and M. Reece, Electric Dipole Moments in Natural Supersymmetry, JHEP 08 (2017) 031 [arXiv:1612.08090] [INSPIRE].
Y. Okada, K.-I. Okumura and Y. Shimizu, \( \overrightarrow{\mu} e\gamma \) and \( \overrightarrow{\mu}3e \) processes with polarized muons and supersymmetric grand unified theories, Phys. Rev. D 61 (2000) 094001 [hep-ph/9906446] [INSPIRE].
Y. Kuno and Y. Okada, Muon decay and physics beyond the standard model, Rev. Mod. Phys. 73 (2001) 151 [hep-ph/9909265] [INSPIRE].
R. Kitano, M. Koike and Y. Okada, Detailed calculation of lepton flavor violating muon electron conversion rate for various nuclei, Phys. Rev. D 66 (2002) 096002 [Erratum ibid. 76 (2007) 059902] [hep-ph/0203110] [INSPIRE].
S. Fajfer, J.F. Kamenik, I. Nišandžic and J. Zupan, Implications of Lepton Flavor Universality Violations in B Decays, Phys. Rev. Lett. 109 (2012) 161801 [arXiv:1206.1872] [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].
Y. Sakaki, M. Tanaka, A. Tayduganov and R. Watanabe, Testing leptoquark models in \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 88 (2013) 094012 [arXiv:1309.0301] [INSPIRE].
M. Freytsis, Z. Ligeti and J.T. Ruderman, Flavor models for \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 92 (2015) 054018 [arXiv:1506.08896] [INSPIRE].
Y. Cai, J. Gargalionis, M.A. Schmidt and R.R. Volkas, Reconsidering the One Leptoquark solution: flavor anomalies and neutrino mass, JHEP 10 (2017) 047 [arXiv:1704.05849] [INSPIRE].
BaBar collaboration, Observation of the semileptonic decays \( B\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \) and evidence for \( B\to D{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett. 100 (2008) 021801 [arXiv:0709.1698] [INSPIRE].
Belle collaboration, Observation of \( {B}^{+}\to {\overline{D}}^{\ast }0{\tau}^{+}{\nu}_{\tau } \) and Evidence for \( {B}^{+}\to {\overline{D}}^0{\tau}^{+}{\nu}_{\tau } \) at Belle, Phys. Rev. D 82 (2010) 072005 [arXiv:1005.2302] [INSPIRE].
BaBar collaboration, Evidence for an excess of B+ → D(∗)τ−ντ decays, Phys. Rev. Lett. 109 (2012) 101802 [arXiv:1205.5442] [INSPIRE].
BaBar collaboration, Measurement of an Excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) Decays and Implications for Charged Higgs Bosons, Phys. Rev. D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].
LHCb collaboration, Measurement of the ratio of branching fractions \( \mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\mu}^{-}{\nu}_{\mu}\right) \), Phys. Rev. Lett. 115 (2015) 111803 [Erratum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
Belle collaboration, Measurement of the branching ratio of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) relative to \( \overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, Phys. Rev. D 92 (2015) 072014 [arXiv:1507.03233] [INSPIRE].
A. Abdesselam et al., Measurement of the τ lepton polarization in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), arXiv:1608.06391 [INSPIRE].
M. Tanaka and R. Watanabe, New physics in the weak interaction of \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 87 (2013) 034028 [arXiv:1212.1878] [INSPIRE].
P. Asadi, M.R. Buckley and D. Shih, Asymmetry Observables and the Origin of \( {R}_{D^{\left(\ast \right)}} \) Anomalies, Phys. Rev. D 99 (2019) 035015 [arXiv:1810.06597] [INSPIRE].
D. Bardhan, P. Byakti and D. Ghosh, A closer look at the RD and \( {R}_{D^{\ast }} \) anomalies, JHEP 01 (2017) 125 [arXiv:1610.03038] [INSPIRE].
A.J. Buras, F. Schwab and S. Uhlig, Waiting for precise measurements of \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) and \( {K}_L\to {\pi}^0\nu \overline{\nu} \), Rev. Mod. Phys. 80 (2008) 965 [hep-ph/0405132] [INSPIRE].
Y. Grossman and Y. Nir, \( {K}_L\to {\pi}^0\nu \overline{\nu} \) beyond the standard model, Phys. Lett. B 398 (1997) 163 [hep-ph/9701313] [INSPIRE].
KOTO collaboration, Study of the \( {K}_L\to {\pi}^0\nu \overline{\nu} \) Decay at the J-PARC KOTO Experiment, Phys. Rev. Lett. 126 (2021) 121801 [arXiv:2012.07571] [INSPIRE].
ATLAS collaboration, Search for the lepton flavor violating decay Z→eμ in pp collisions at \( \sqrt{s} \) TeV with the ATLAS detector, Phys. Rev. D 90 (2014) 072010 [arXiv:1408.5774] [INSPIRE].
D. Bečirević and O. Sumensari, A leptoquark model to accommodate \( {R}_K^{exp}<{R}_K^{SM} \) and \( {R}_{K^{\ast}}^{exp}<{R}_{K^{\ast}}^{SM} \), JHEP 08 (2017) 104 [arXiv:1704.05835] [INSPIRE].
P. Arnan, D. Bečirević, F. Mescia and O. Sumensari, Probing low energy scalar leptoquarks by the leptonic W and Z couplings, JHEP 02 (2019) 109 [arXiv:1901.06315] [INSPIRE].
A. Efrati, A. Falkowski and Y. Soreq, Electroweak constraints on flavorful effective theories, JHEP 07 (2015) 018 [arXiv:1503.07872] [INSPIRE].
ALEPH et al. collaborations, Precision electroweak measurements on the Z resonance, Phys. Rept. 427 (2006) 257 [hep-ex/0509008] [INSPIRE].
A. Juttner, Progress in kaon physics on the lattice, PoS LATTICE2007 (2007) 014 [arXiv:0711.1239] [INSPIRE].
R.J. Dowdall et al., Neutral B-meson mixing from full lattice QCD at the physical point, Phys. Rev. D 100 (2019) 094508 [arXiv:1907.01025] [INSPIRE].
B. Grinstein, TASI-2013 Lectures on Flavor Physics, in the proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics: Particle Physics: The Higgs Boson and Beyond, Boulder U.S.A., June 3–28 (2013) [arXiv:1501.05283] [INSPIRE].
A. Lenz et al., Anatomy of New Physics in \( B-\overline{B} \) mixing, Phys. Rev. D 83 (2011) 036004 [arXiv:1008.1593] [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].
A.J. Buras, Flavor physics and CP violation, in the proceedings of the 2004 European School of High-Energy Physics, Sant Feliu de Guixols Spain, May 30–June 12 (2004). [hep-ph/0505175] [INSPIRE].
E. Golowich, J.A. Hewett, S. Pakvasa and A.A. Petrov, Implications of \( {D}^0-{\overline{D}}^0 \) Mixing for New Physics, Phys. Rev. D 76 (2007) 095009 [arXiv:0705.3650] [INSPIRE].
A. Bazavov et al., Short-distance matrix elements for D0-meson mixing for Nf = 2 + 1 lattice QCD, Phys. Rev. D 97 (2018) 034513 [arXiv:1706.04622] [INSPIRE].
Acknowledgments
We thank Daniel Aloni, Wolfgang Altmannshofer, Spencer Chang, Avital Dery, Darius Faroughy, Seth Koren, Graham Kribs, Clara Murgui, Matthew Reece, Matthew Strassler, and Lian-Tao Wang for helpful discussions. The work of PA is supported in part by the U.S. Department of Energy under Grant Number DE-SC0011640. AB, KF and SH are supported in part by the DOE grant DE-SC0013607. KF and SH are also supported in part by the Alfred P. Sloan Foundation Grant No. G-2019-12504, and KF is also supported in part by the NASA Grant 80NSSC20K0506. The work of AP is supported in part by the US National Science Foundation Grant PHY2210533 and the Simons Foundation Grant No. 623940. PA thanks Mainz Institute for Theoretical Physics (MITP) of the Cluster of Excellence PRISMA+ (Project ID 39083149) and KF thanks the Aspen Center for Physics (which is supported by NSF grant PHY-2210452) for their hospitality during the completion of this work.
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Asadi, P., Bhattacharya, A., Fraser, K. et al. Wrinkles in the Froggatt-Nielsen mechanism and flavorful new physics. J. High Energ. Phys. 2023, 69 (2023). https://doi.org/10.1007/JHEP10(2023)069
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DOI: https://doi.org/10.1007/JHEP10(2023)069