Abstract
The axion is much lighter than all other degrees of freedom introduced by the Peccei-Quinn mechanism to solve the strong CP problem. It is therefore natural to use an effective field theory (EFT) to describe its interactions. Loop processes calculated in the EFT may however explicitly depend on the ultraviolet cutoff. In general, the UV cutoff is not uniquely defined, but the dimensionful couplings suggest to identify it with the Peccei-Quinn symmetry-breaking scale. An example are K+ → π+ + a decays that will soon be tested to improved precision in NA62 and KOTO and whose amplitude is dominated by the term logarithmically dependent on the cutoff. In this paper, we critically examine the adequacy of using such a naive EFT approach to study loop processes by comparing EFT calculations with ones performed in complete QCD axion models. In DFSZ models, for example, the cutoff is found to be set by additional Higgs degrees of freedom and to therefore be much closer to the electroweak scale than to the Peccei-Quinn scale. In fact, there are non-trivial requirements on axion models where the cutoff scale of loop processes is close to the Peccei-Quinn scale, such that the naive EFT result is reproduced. This suggests that the existence of a suitable UV embedding may impose restrictions on axion EFTs. We provide an explicit construction of a model with suitable fermion couplings and find promising prospects for NA62 and IAXO.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [INSPIRE].
J. Aebischer, M. Fael, C. Greub and J. Virto, B physics Beyond the Standard Model at One Loop: Complete Renormalization Group Evolution below the Electroweak Scale, JHEP 09 (2017) 158 [arXiv:1704.06639] [INSPIRE].
E.E. Jenkins, A.V. Manohar and P. Stoffer, Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching, JHEP 03 (2018) 016 [arXiv:1709.04486] [INSPIRE].
W. Buchmüller and D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
F. Feruglio, The Chiral approach to the electroweak interactions, Int. J. Mod. Phys. A 8 (1993) 4937 [hep-ph/9301281] [INSPIRE].
R. Alonso, M.B. Gavela, L. Merlo, S. Rigolin and J. Yepes, The Effective Chiral Lagrangian for a Light Dynamical “Higgs Particle”, Phys. Lett. B 722 (2013) 330 [Erratum ibid. 726 (2013) 926] [arXiv:1212.3305] [INSPIRE].
G. Buchalla, O. Catà and C. Krause, Complete Electroweak Chiral Lagrangian with a Light Higgs at NLO, Nucl. Phys. B 880 (2014) 552 [Erratum ibid. 913 (2016) 475] [arXiv:1307.5017] [INSPIRE].
P. Sikivie, Experimental Tests of the Invisible Axion, Phys. Rev. Lett. 51 (1983) 1415 [Erratum ibid. 52 (1984) 695] [INSPIRE].
CAST collaboration, New CAST Limit on the Axion-Photon Interaction, Nature Phys. 13 (2017) 584 [arXiv:1705.02290] [INSPIRE].
IAXO collaboration, Physics potential of the International Axion Observatory (IAXO), JCAP 06 (2019) 047 [arXiv:1904.09155] [INSPIRE].
G. Raffelt, Stars as laboratories for fundamental physics: The astrophysics of neutrinos, axions, and other weakly interacting particles, University of Chicago Press (1996) [INSPIRE].
G.G. Raffelt, Astrophysical axion bounds, Lect. Notes Phys. 741 (2008) 51 [hep-ph/0611350] [INSPIRE].
A. Arvanitaki and S. Dubovsky, Exploring the String Axiverse with Precision Black Hole Physics, Phys. Rev. D 83 (2011) 044026 [arXiv:1004.3558] [INSPIRE].
A. Arvanitaki, M. Baryakhtar and X. Huang, Discovering the QCD Axion with Black Holes and Gravitational Waves, Phys. Rev. D 91 (2015) 084011 [arXiv:1411.2263] [INSPIRE].
J. Preskill, M.B. Wise and F. Wilczek, Cosmology of the Invisible Axion, Phys. Lett. B 120 (1983) 127 [INSPIRE].
L.F. Abbott and P. Sikivie, A Cosmological Bound on the Invisible Axion, Phys. Lett. B 120 (1983) 133 [INSPIRE].
M. Dine and W. Fischler, The Not So Harmless Axion, Phys. Lett. B 120 (1983) 137 [INSPIRE].
ADMX collaboration, Results from a high sensitivity search for cosmic axions, Phys. Rev. Lett. 80 (1998) 2043 [astro-ph/9801286] [INSPIRE].
D. Horns, J. Jaeckel, A. Lindner, A. Lobanov, J. Redondo and A. Ringwald, Searching for WISPy Cold Dark Matter with a Dish Antenna, JCAP 04 (2013) 016 [arXiv:1212.2970] [INSPIRE].
D. Budker, P.W. Graham, M. Ledbetter, S. Rajendran and A. Sushkov, Proposal for a Cosmic Axion Spin Precession Experiment (CASPEr), Phys. Rev. X 4 (2014) 021030 [arXiv:1306.6089] [INSPIRE].
J. Jaeckel and J. Redondo, An antenna for directional detection of WISPy dark matter, JCAP 11 (2013) 016 [arXiv:1307.7181] [INSPIRE].
W. Chung, CULTASK, The Coldest Axion Experiment at CAPP/IBS in Korea, PoS CORFU2015 (2016) 047 [INSPIRE].
Y. Kahn, B.R. Safdi and J. Thaler, Broadband and Resonant Approaches to Axion Dark Matter Detection, Phys. Rev. Lett. 117 (2016) 141801 [arXiv:1602.01086] [INSPIRE].
MADMAX Working Group collaboration, Dielectric Haloscopes: A New Way to Detect Axion Dark Matter, Phys. Rev. Lett. 118 (2017) 091801 [arXiv:1611.05865] [INSPIRE].
D. Alesini, D. Babusci, D. Di Gioacchino, C. Gatti, G. Lamanna and C. Ligi, The KLASH Proposal, arXiv:1707.06010 [INSPIRE].
A.A. Melcón et al., Axion Searches with Microwave Filters: the RADES project, JCAP 05 (2018) 040 [arXiv:1803.01243] [INSPIRE].
ADMX collaboration, A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment, Phys. Rev. Lett. 120 (2018) 151301 [arXiv:1804.05750] [INSPIRE].
ADMX collaboration, Extended Search for the Invisible Axion with the Axion Dark Matter Experiment, Phys. Rev. Lett. 124 (2020) 101303 [arXiv:1910.08638] [INSPIRE].
I.G. Irastorza and J. Redondo, New experimental approaches in the search for axion-like particles, Prog. Part. Nucl. Phys. 102 (2018) 89 [arXiv:1801.08127] [INSPIRE].
M.T. Ressell, Limits to the radiative decay of the axion, Phys. Rev. D 44 (1991) 3001 [INSPIRE].
M.A. Bershady, M.T. Ressell and M.S. Turner, Telescope search for multi-eV axions, Phys. Rev. Lett. 66 (1991) 1398 [INSPIRE].
J.M. Overduin and P.S. Wesson, Dark matter and background light, Phys. Rept. 402 (2004) 267 [astro-ph/0407207] [INSPIRE].
D. Grin, G. Covone, J.-P. Kneib, M. Kamionkowski, A. Blain and E. Jullo, A Telescope Search for Decaying Relic Axions, Phys. Rev. D 75 (2007) 105018 [astro-ph/0611502] [INSPIRE].
A. Boyarsky, A. Neronov, O. Ruchayskiy, M. Shaposhnikov and I. Tkachev, Where to find a dark matter sterile neutrino?, Phys. Rev. Lett. 97 (2006) 261302 [astro-ph/0603660] [INSPIRE].
A. Boyarsky, O. Ruchayskiy and M. Shaposhnikov, The Role of sterile neutrinos in cosmology and astrophysics, Ann. Rev. Nucl. Part. Sci. 59 (2009) 191 [arXiv:0901.0011] [INSPIRE].
G. Vertongen and C. Weniger, Hunting Dark Matter Gamma-Ray Lines with the Fermi LAT, JCAP 05 (2011) 027 [arXiv:1101.2610] [INSPIRE].
D. Cadamuro and J. Redondo, Cosmological bounds on pseudo Nambu-Goldstone bosons, JCAP 02 (2012) 032 [arXiv:1110.2895] [INSPIRE].
P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo and A. Ringwald, WISPy Cold Dark Matter, JCAP 06 (2012) 013 [arXiv:1201.5902] [INSPIRE].
J. Jaeckel, J. Redondo and A. Ringwald, 3.55 keV hint for decaying axionlike particle dark matter, Phys. Rev. D 89 (2014) 103511 [arXiv:1402.7335] [INSPIRE].
A. Hook, Y. Kahn, B.R. Safdi and Z. Sun, Radio Signals from Axion Dark Matter Conversion in Neutron Star Magnetospheres, Phys. Rev. Lett. 121 (2018) 241102 [arXiv:1804.03145] [INSPIRE].
A. Caputo, C.P. Garay and S.J. Witte, Looking for Axion Dark Matter in Dwarf Spheroidals, Phys. Rev. D 98 (2018) 083024 [Erratum ibid. 99 (2019) 089901] [arXiv:1805.08780] [INSPIRE].
A. Caputo, M. Regis, M. Taoso and S.J. Witte, Detecting the Stimulated Decay of Axions at RadioFrequencies, JCAP 03 (2019) 027 [arXiv:1811.08436] [INSPIRE].
J.W. Foster et al., Green Bank and Effelsberg Radio Telescope Searches for Axion Dark Matter Conversion in Neutron Star Magnetospheres, Phys. Rev. Lett. 125 (2020) 171301 [arXiv:2004.00011] [INSPIRE].
J.-W. Wang, X.-J. Bi, R.-M. Yao and P.-F. Yin, Exploring axion dark matter through radio signals from magnetic white dwarf stars, Phys. Rev. D 103 (2021) 115021 [arXiv:2101.02585] [INSPIRE].
P. Agrawal and K. Howe, Factoring the Strong CP Problem, JHEP 12 (2018) 029 [arXiv:1710.04213] [INSPIRE].
D.S.M. Alves and N. Weiner, A viable QCD axion in the MeV mass range, JHEP 07 (2018) 092 [arXiv:1710.03764] [INSPIRE].
M.K. Gaillard, M.B. Gavela, R. Houtz, P. Quilez and R. Del Rey, Color unified dynamical axion, Eur. Phys. J. C 78 (2018) 972 [arXiv:1805.06465] [INSPIRE].
T. Gherghetta, V.V. Khoze, A. Pomarol and Y. Shirman, The Axion Mass from 5D Small Instantons, JHEP 03 (2020) 063 [arXiv:2001.05610] [INSPIRE].
J. Jaeckel, M. Jankowiak and M. Spannowsky, LHC probes the hidden sector, Phys. Dark Univ. 2 (2013) 111 [arXiv:1212.3620] [INSPIRE].
K. Mimasu and V. Sanz, ALPs at Colliders, JHEP 06 (2015) 173 [arXiv:1409.4792] [INSPIRE].
J. Jaeckel and M. Spannowsky, Probing MeV to 90 GeV axion-like particles with LEP and LHC, Phys. Lett. B 753 (2016) 482 [arXiv:1509.00476] [INSPIRE].
I. Brivio et al., ALPs Effective Field Theory and Collider Signatures, Eur. Phys. J. C 77 (2017) 572 [arXiv:1701.05379] [INSPIRE].
M. Bauer, M. Neubert and A. Thamm, Collider Probes of Axion-Like Particles, JHEP 12 (2017) 044 [arXiv:1708.00443] [INSPIRE].
S. Knapen, T. Lin, H.K. Lou and T. Melia, Searching for Axionlike Particles with Ultraperipheral Heavy-Ion Collisions, Phys. Rev. Lett. 118 (2017) 171801 [arXiv:1607.06083] [INSPIRE].
CMS collaboration, Evidence for light-by-light scattering and searches for axion-like particles in ultraperipheral PbPb collisions at \( \sqrt{s_{\mathrm{NN}}} \) = 5.02 TeV, Phys. Lett. B 797 (2019) 134826 [arXiv:1810.04602] [INSPIRE].
ATLAS collaboration, Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb−1 of Pb + Pb data with the ATLAS detector, JHEP 03 (2021) 243 [arXiv:2008.05355] [INSPIRE].
A. Mariotti, D. Redigolo, F. Sala and K. Tobioka, New LHC bound on low-mass diphoton resonances, Phys. Lett. B 783 (2018) 13 [arXiv:1710.01743] [INSPIRE].
M. Freytsis, Z. Ligeti and J. Thaler, Constraining the Axion Portal with B → Kl+l−, Phys. Rev. D 81 (2010) 034001 [arXiv:0911.5355] [INSPIRE].
E. Izaguirre, T. Lin and B. Shuve, Searching for Axionlike Particles in Flavor-Changing Neutral Current Processes, Phys. Rev. Lett. 118 (2017) 111802 [arXiv:1611.09355] [INSPIRE].
M.J. Dolan, T. Ferber, C. Hearty, F. Kahlhoefer and K. Schmidt-Hoberg, Revised constraints and Belle II sensitivity for visible and invisible axion-like particles, JHEP 12 (2017) 094 [Erratum ibid. 03 (2021) 190] [arXiv:1709.00009] [INSPIRE].
X. Cid Vidal, A. Mariotti, D. Redigolo, F. Sala and K. Tobioka, New Axion Searches at Flavor Factories, JHEP 01 (2019) 113 [Erratum ibid. 06 (2020) 141] [arXiv:1810.09452] [INSPIRE].
M.B. Gavela, R. Houtz, P. Quilez, R. Del Rey and O. Sumensari, Flavor constraints on electroweak ALP couplings, Eur. Phys. J. C 79 (2019) 369 [arXiv:1901.02031] [INSPIRE].
L. Merlo, F. Pobbe, S. Rigolin and O. Sumensari, Revisiting the production of ALPs at B-factories, JHEP 06 (2019) 091 [arXiv:1905.03259] [INSPIRE].
Belle-II collaboration, Search for Axion-Like Particles produced in e+e− collisions at Belle II, Phys. Rev. Lett. 125 (2020) 161806 [arXiv:2007.13071] [INSPIRE].
D. Aristizabal Sierra, V. De Romeri, L.J. Flores and D.K. Papoulias, Axionlike particles searches in reactor experiments, JHEP 03 (2021) 294 [arXiv:2010.15712] [INSPIRE].
M.J. Dolan, F. Kahlhoefer, C. McCabe and K. Schmidt-Hoberg, A taste of dark matter: Flavour constraints on pseudoscalar mediators, JHEP 03 (2015) 171 [Erratum ibid. 07 (2015) 103] [arXiv:1412.5174] [INSPIRE].
B. Döbrich, F. Ertas, F. Kahlhoefer and T. Spadaro, Model-independent bounds on light pseudoscalars from rare B-meson decays, Phys. Lett. B 790 (2019) 537 [arXiv:1810.11336] [INSPIRE].
J. Beacham et al., Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report, J. Phys. G 47 (2020) 010501 [arXiv:1901.09966] [INSPIRE].
S. Gori, G. Perez and K. Tobioka, KOTO vs. NA62 Dark Scalar Searches, JHEP 08 (2020) 110 [arXiv:2005.05170] [INSPIRE].
J. Martin Camalich, M. Pospelov, P.N.H. Vuong, R. Ziegler and J. Zupan, Quark Flavor Phenomenology of the QCD Axion, Phys. Rev. D 102 (2020) 015023 [arXiv:2002.04623] [INSPIRE].
CHARM collaboration, Search for Axion Like Particle Production in 400 GeV Proton-Copper Interactions, Phys. Lett. B 157 (1985) 458 [INSPIRE].
E.M. Riordan et al., A Search for Short Lived Axions in an Electron Beam Dump Experiment, Phys. Rev. Lett. 59 (1987) 755 [INSPIRE].
J.D. Bjorken et al., Search for Neutral Metastable Penetrating Particles Produced in the SLAC Beam Dump, Phys. Rev. D 38 (1988) 3375 [INSPIRE].
B. Döbrich, J. Jaeckel, F. Kahlhoefer, A. Ringwald and K. Schmidt-Hoberg, ALPtraum: ALP production in proton beam dump experiments, JHEP 02 (2016) 018 [arXiv:1512.03069] [INSPIRE].
S. Alekhin et al., A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case, Rept. Prog. Phys. 79 (2016) 124201 [arXiv:1504.04855] [INSPIRE].
B. Döbrich, J. Jaeckel and T. Spadaro, Light in the beam dump. Axion-Like Particle production from decay photons in proton beam-dumps, JHEP 05 (2019) 213 [Erratum ibid. 10 (2020) 046] [arXiv:1904.02091] [INSPIRE].
L. Darmé, F. Giacchino, E. Nardi and M. Raggi, Invisible decays of axion-like particles: constraints and prospects, JHEP 06 (2021) 009 [arXiv:2012.07894] [INSPIRE].
K.J. Kelly, S. Kumar and Z. Liu, Heavy axion opportunities at the DUNE near detector, Phys. Rev. D 103 (2021) 095002 [arXiv:2011.05995] [INSPIRE].
V. Brdar et al., Axionlike Particles at Future Neutrino Experiments: Closing the Cosmological Triangle, Phys. Rev. Lett. 126 (2021) 201801 [arXiv:2011.07054] [INSPIRE].
J.L. Feng, I. Galon, F. Kling and S. Trojanowski, Axionlike particles at FASER: The LHC as a photon beam dump, Phys. Rev. D 98 (2018) 055021 [arXiv:1806.02348] [INSPIRE].
G. Aielli et al., Expression of interest for the CODEX-b detector, Eur. Phys. J. C 80 (2020) 1177 [arXiv:1911.00481] [INSPIRE].
J.H. Chang, R. Essig and S.D. McDermott, Supernova 1987A Constraints on Sub-GeV Dark Sectors, Millicharged Particles, the QCD Axion, and an Axion-like Particle, JHEP 09 (2018) 051 [arXiv:1803.00993] [INSPIRE].
P. Carenza, T. Fischer, M. Giannotti, G. Guo, G. Martínez-Pinedo and A. Mirizzi, Improved axion emissivity from a supernova via nucleon-nucleon bremsstrahlung, JCAP 10 (2019) 016 [Erratum ibid. 05 (2020) E01] [arXiv:1906.11844] [INSPIRE].
F. Ertas and F. Kahlhoefer, On the interplay between astrophysical and laboratory probes of MeV-scale axion-like particles, JHEP 07 (2020) 050 [arXiv:2004.01193] [INSPIRE].
G. Alonso-Álvarez, M.B. Gavela and P. Quilez, Axion couplings to electroweak gauge bosons, Eur. Phys. J. C 79 (2019) 223 [arXiv:1811.05466] [INSPIRE].
K. Choi, S.H. Im, C.B. Park and S. Yun, Minimal Flavor Violation with Axion-like Particles, JHEP 11 (2017) 070 [arXiv:1708.00021] [INSPIRE].
M. Chala, G. Guedes, M. Ramos and J. Santiago, Running in the ALPs, Eur. Phys. J. C 81 (2021) 181 [arXiv:2012.09017] [INSPIRE].
M. Bauer, M. Neubert, S. Renner, M. Schnubel and A. Thamm, The Low-Energy Effective Theory of Axions and ALPs, JHEP 04 (2021) 063 [arXiv:2012.12272] [INSPIRE].
R.D. Peccei and H.R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
R.D. Peccei and H.R. Quinn, Constraints Imposed by CP Conservation in the Presence of Instantons, Phys. Rev. D 16 (1977) 1791 [INSPIRE].
S. Weinberg, A New Light Boson?, Phys. Rev. Lett. 40 (1978) 223 [INSPIRE].
F. Wilczek, Problem of Strong P and T Invariance in the Presence of Instantons, Phys. Rev. Lett. 40 (1978) 279 [INSPIRE].
J.E. Kim, Weak Interaction Singlet and Strong CP Invariance, Phys. Rev. Lett. 43 (1979) 103 [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Can Confinement Ensure Natural CP Invariance of Strong Interactions?, Nucl. Phys. B 166 (1980) 493 [INSPIRE].
A.R. Zhitnitsky, On Possible Suppression of the Axion Hadron Interactions (in Russian), Sov. J. Nucl. Phys. 31 (1980) 260 [INSPIRE].
M. Dine, W. Fischler and M. Srednicki, A Simple Solution to the Strong CP Problem with a Harmless Axion, Phys. Lett. B 104 (1981) 199 [INSPIRE].
L. Calibbi, F. Goertz, D. Redigolo, R. Ziegler and J. Zupan, Minimal axion model from flavor, Phys. Rev. D 95 (2017) 095009 [arXiv:1612.08040] [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].
C.D. Froggatt and H.B. Nielsen, Hierarchy of Quark Masses, Cabibbo Angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
NA62 collaboration, The Beam and detector of the NA62 experiment at CERN, 2017 JINST 12 P05025 [arXiv:1703.08501] [INSPIRE].
KOTO collaboration, Search for the KL → \( {\pi}^0\nu \overline{\nu} \) and KL → π0X0 decays at the J-PARC KOTO experiment, Phys. Rev. Lett. 122 (2019) 021802 [arXiv:1810.09655] [INSPIRE].
KLEVER Project collaboration, KLEVER: An experiment to measure BR(KL → \( {\pi}^0\nu \overline{\nu} \)) at the CERN SPS, arXiv:1901.03099 [INSPIRE].
C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
B. Freivogel, T. Gasenzer, A. Hebecker and S. Leonhardt, A Conjecture on the Minimal Size of Bound States, SciPost Phys. 8 (2020) 058 [arXiv:1912.09485] [INSPIRE].
H. Georgi, D.B. Kaplan and L. Randall, Manifesting the Invisible Axion at Low-energies, Phys. Lett. B 169 (1986) 73 [INSPIRE].
G. Grilli di Cortona, E. Hardy, J. Pardo Vega and G. Villadoro, The QCD axion, precisely, JHEP 01 (2016) 034 [arXiv:1511.02867] [INSPIRE].
P. Di Vecchia and G. Veneziano, Chiral Dynamics in the Large N Limit, Nucl. Phys. B 171 (1980) 253 [INSPIRE].
C. Cornella, P. Paradisi and O. Sumensari, Hunting for ALPs with Lepton Flavor Violation, JHEP 01 (2020) 158 [arXiv:1911.06279] [INSPIRE].
P. Escribano and A. Vicente, Ultralight scalars in leptonic observables, JHEP 03 (2021) 240 [arXiv:2008.01099] [INSPIRE].
J. Ellis, TikZ-Feynman: Feynman diagrams with TikZ, Comput. Phys. Commun. 210 (2017) 103 [arXiv:1601.05437] [INSPIRE].
N. Carrasco, P. Lami, V. Lubicz, L. Riggio, S. Simula and C. Tarantino, K → π semileptonic form factors with Nf = 2 + 1 + 1 twisted mass fermions, Phys. Rev. D 93 (2016) 114512 [arXiv:1602.04113] [INSPIRE].
Flavour Lattice Averaging Group collaboration, FLAG Review 2019: Flavour Lattice Averaging Group (FLAG), Eur. Phys. J. C 80 (2020) 113 [arXiv:1902.08191] [INSPIRE].
B. Batell, M. Pospelov and A. Ritz, Multi-lepton Signatures of a Hidden Sector in Rare B Decays, Phys. Rev. D 83 (2011) 054005 [arXiv:0911.4938] [INSPIRE].
W.A. Bardeen, R.D. Peccei and T. Yanagida, Constraints on variant axion models, Nucl. Phys. B 279 (1987) 401 [INSPIRE].
E949 and E787 collaborations, Measurement of the K+ → \( {\pi}^{+}\nu \overline{\nu} \) branching ratio, Phys. Rev. D 77 (2008) 052003 [arXiv:0709.1000] [INSPIRE].
NA62 collaboration, The NA62 experiment at CERN: status and perspectives, in 12th Conference on Flavor Physics and CP-violation, (2014) [arXiv:1407.8213] [INSPIRE].
NA62 collaboration, Search for a feebly interacting particle X in the decay K+ → π+X, JHEP 03 (2021) 058 [arXiv:2011.11329] [INSPIRE].
S. Oda, Y. Shoji and D.-S. Takahashi, High Scale Validity of the DFSZ Axion Model with Precision, JHEP 03 (2020) 011 [arXiv:1912.01147] [INSPIRE].
F. Kling, S. Su and W. Su, 2HDM Neutral Scalars under the LHC, JHEP 06 (2020) 163 [arXiv:2004.04172] [INSPIRE].
L. Di Luzio, M. Giannotti, E. Nardi and L. Visinelli, The landscape of QCD axion models, Phys. Rept. 870 (2020) 1 [arXiv:2003.01100] [INSPIRE].
J. Quevillon and C. Smith, Axions are blind to anomalies, Eur. Phys. J. C 79 (2019) 822 [arXiv:1903.12559] [INSPIRE].
S.L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426 [INSPIRE].
J.S. Bell and R. Jackiw, A PCAC puzzle: π0 → γγ in the σ model, Nuovo Cim. A 60 (1969) 47 [INSPIRE].
W.A. Bardeen, Anomalous Ward identities in spinor field theories, Phys. Rev. 184 (1969) 1848 [INSPIRE].
H.H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276 [arXiv:1503.01469] [INSPIRE].
L.J. Hall and M.B. Wise, Flavor changing Higgs-boson couplings, Nucl. Phys. B 187 (1981) 397 [INSPIRE].
C.A.J. O’Hare and E. Vitagliano, Cornering the axion with CP-violating interactions, Phys. Rev. D 102 (2020) 115026 [arXiv:2010.03889] [INSPIRE].
L. Di Luzio, R. Gröber and P. Paradisi, Hunting for the CP-violating ALP, arXiv:2010.13760 [INSPIRE].
S. Dar, The Neutron EDM in the SM: A Review, hep-ph/0008248 [INSPIRE].
nEDM collaboration, Measurement of the permanent electric dipole moment of the neutron, Phys. Rev. Lett. 124 (2020) 081803 [arXiv:2001.11966] [INSPIRE].
L. Di Luzio, F. Mescia and E. Nardi, Window for preferred axion models, Phys. Rev. D 96 (2017) 075003 [arXiv:1705.05370] [INSPIRE].
A. Ayala, I. Domínguez, M. Giannotti, A. Mirizzi and O. Straniero, Revisiting the bound on axion-photon coupling from Globular Clusters, Phys. Rev. Lett. 113 (2014) 191302 [arXiv:1406.6053] [INSPIRE].
F. Capozzi and G. Raffelt, Axion and neutrino bounds improved with new calibrations of the tip of the red-giant branch using geometric distance determinations, Phys. Rev. D 102 (2020) 083007 [arXiv:2007.03694] [INSPIRE].
M. Giannotti, I. Irastorza, J. Redondo and A. Ringwald, Cool WISPs for stellar cooling excesses, JCAP 05 (2016) 057 [arXiv:1512.08108] [INSPIRE].
S. Hoof, F. Kahlhoefer, P. Scott, C. Weniger and M. White, Axion global fits with Peccei-Quinn symmetry breaking before inflation using GAMBIT, JHEP 03 (2019) 191 [Erratum ibid. 11 (2019) 099] [arXiv:1810.07192] [INSPIRE].
M.M. Miller Bertolami, B.E. Melendez, L.G. Althaus and J. Isern, Revisiting the axion bounds from the Galactic white dwarf luminosity function, JCAP 10 (2014) 069 [arXiv:1406.7712] [INSPIRE].
M. Giannotti, I.G. Irastorza, J. Redondo, A. Ringwald and K. Saikawa, Stellar Recipes for Axion Hunters, JCAP 10 (2017) 010 [arXiv:1708.02111] [INSPIRE].
M. Srednicki, Axion Couplings to Matter. 1. CP Conserving Parts, Nucl. Phys. B 260 (1985) 689 [INSPIRE].
T. Vonk, F.-K. Guo and U.-G. Meißner, Precision calculation of the axion-nucleon coupling in chiral perturbation theory, JHEP 03 (2020) 138 [arXiv:2001.05327] [INSPIRE].
N. Bar, K. Blum and G. D’Amico, Is there a supernova bound on axions?, Phys. Rev. D 101 (2020) 123025 [arXiv:1907.05020] [INSPIRE].
P. Cigan et al., High angular resolution ALMA images of dust and molecules in the SN 1987A ejecta, Astrophys. J. 886 (2019) 51 [arXiv:1910.02960] [INSPIRE].
D. Page, M.V. Beznogov, I. Garibay, J.M. Lattimer, M. Prakash and H.-T. Janka, NS 1987A in SN 1987A, Astrophys. J. 898 (2020) 125 [arXiv:2004.06078] [INSPIRE].
A. Ringwald and K. Saikawa, Axion dark matter in the post-inflationary Peccei-Quinn symmetry breaking scenario, Phys. Rev. D 93 (2016) 085031 [Addendum ibid. 94 (2016) 049908] [arXiv:1512.06436] [INSPIRE].
C. Bobeth, T. Ewerth, F. Krüger and J. Urban, Analysis of neutral Higgs boson contributions to the decays \( {\overline{B}}_s\to {\mathrm{\ell}}^{+}{\mathrm{\ell}}^{-} \) and \( \overline{B}\to K{\mathrm{\ell}}^{+}{\mathrm{\ell}}^{-} \), Phys. Rev. D 64 (2001) 074014 [hep-ph/0104284] [INSPIRE].
H.E. Logan and U. Nierste, Bs, d → ℓ+ℓ− in a two Higgs doublet model, Nucl. Phys. B 586 (2000) 39 [hep-ph/0004139] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2101.03173
Rights and permissions
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.
About this article
Cite this article
Alonso-Álvarez, G., Ertas, F., Jaeckel, J. et al. Leading logs in QCD axion effective field theory. J. High Energ. Phys. 2021, 59 (2021). https://doi.org/10.1007/JHEP07(2021)059
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2021)059