Abstract
We show that the relaxion generically stops its rolling at a point that breaks CP leading to relaxion-Higgs mixing. This opens the door to a variety of observational probes since the possible relaxion mass spans a broad range from sub-eV to the GeV scale. We derive constraints from current experiments (fifth force, astrophysical and cosmological probes, beam dump, flavour, LEP and LHC) and present projections from future experiments such as NA62, SHiP and PIXIE. We find that a large region of the parameter space is already under the experimental scrutiny. All the experimental constraints we derive are equally applicable for general Higgs portal models. In addition, we show that simple multiaxion (clockwork) UV completions suffer from a mild fine tuning problem, which increases with the number of sites. These results favour a cut-off scale lower than the existing theoretical bounds.
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References
P.W. Graham, D.E. Kaplan and S. Rajendran, Cosmological relaxation of the electroweak scale, Phys. Rev. Lett. 115 (2015) 221801 [arXiv:1504.07551] [INSPIRE].
A. Hook and G. Marques-Tavares, Relaxation from particle production, JHEP 12 (2016) 101 [arXiv:1607.01786] [INSPIRE].
R.S. Gupta, Z. Komargodski, G. Perez and L. Ubaldi, Is the relaxion an axion?, JHEP 02 (2016) 166 [arXiv:1509.00047] [INSPIRE].
T. Kobayashi, O. Seto, T. Shimomura and Y. Urakawa, Relaxion window, arXiv:1605.06908 [INSPIRE].
J.R. Espinosa et al., Cosmological Higgs-axion interplay for a naturally small electroweak scale, Phys. Rev. Lett. 115 (2015) 251803 [arXiv:1506.09217] [INSPIRE].
S. Di Chiara et al., Relaxion cosmology and the price of fine-tuning, Phys. Rev. D 93 (2016) 103527 [arXiv:1511.02858] [INSPIRE].
D. Ghosh, R.S. Gupta and G. Perez, Is the Higgs Mechanism of Fermion mass generation a fact? A Yukawa-less first-two-generation model, Phys. Lett. B 755 (2016) 504 [arXiv:1508.01501] [INSPIRE].
K. Choi and S.H. Im, Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry, JHEP 01 (2016) 149 [arXiv:1511.00132] [INSPIRE].
D.E. Kaplan and R. Rattazzi, Large field excursions and approximate discrete symmetries from a clockwork axion, Phys. Rev. D 93 (2016) 085007 [arXiv:1511.01827] [INSPIRE].
K. Choi, H. Kim and S. Yun, Natural inflation with multiple sub-Planckian axions, Phys. Rev. D 90 (2014) 023545 [arXiv:1404.6209] [INSPIRE].
J.E. Kim, H.P. Nilles and M. Peloso, Completing natural inflation, JCAP 01 (2005) 005 [hep-ph/0409138] [INSPIRE].
K. Choi and S.H. Im, Constraints on relaxion windows, JHEP 12 (2016) 093 [arXiv:1610.00680] [INSPIRE].
F. Piazza and M. Pospelov, Sub-eV scalar dark matter through the super-renormalizable Higgs portal, Phys. Rev. D 82 (2010) 043533 [arXiv:1003.2313] [INSPIRE].
P.W. Grahamet al., Dark matter direct detection with accelerometers, Phys. Rev. D 93 (2016) 075029 [arXiv:1512.06165] [INSPIRE].
R. Harnik, J. Kopp and P.A.N. Machado, Exploring ν signals in dark matter detectors, JCAP 07 (2012) 026 [arXiv:1202.6073] [INSPIRE].
G.L. Smith et al., Short range tests of the equivalence principle, Phys. Rev. D 61 (2000) 022001 [INSPIRE].
S. Schlamminger, K.Y. Choi, T.A. Wagner, J.H. Gundlach and E.G. Adelberger, Test of the equivalence principle using a rotating torsion balance, Phys. Rev. Lett. 100 (2008) 041101 [arXiv:0712.0607] [INSPIRE].
B. Bellazzini, C. Csáki, J. Hubisz, J. Serra and J. Terning, Cosmological and astrophysical probes of vacuum energy, JHEP 06 (2016) 104 [arXiv:1502.04702] [INSPIRE].
C. Delaunay, R. Ozeri, G. Perez and Y. Soreq, Probing the atomic Higgs force, arXiv:1601.05087 [INSPIRE].
R. Spero, J.K. Hoskins, R. Newman, J. Pellam and J. Schultz, Test of the gravitational inverse-square law at laboratory distances, Phys. Rev. Lett. 44 (1980) 1645 [INSPIRE].
J.K. Hoskins, R.D. Newman, R. Spero and J. Schultz, Experimental tests of the gravitational inverse square law for mass separations from 2 cm to 105 cm, Phys. Rev. D 32 (1985) 3084 [INSPIRE].
J. Chiaverini, S.J. Smullin, A.A. Geraci, D.M. Weld and A. Kapitulnik, New experimental constraints on nonNewtonian forces below 100 microns, Phys. Rev. Lett. 90 (2003) 151101 [hep-ph/0209325] [INSPIRE].
C.D. Hoyle et al., Sub-millimeter tests of the gravitational inverse-square law, Phys. Rev. D 70 (2004) 042004 [hep-ph/0405262] [INSPIRE].
S.J. Smullin et al., New constraints on Yukawa-type deviations from Newtonian gravity at 20 microns, Phys. Rev. D 72 (2005) 122001 [Erratum ibid. D 72 (2005) 129901] [hep-ph/0508204] [INSPIRE].
D.J. Kapner et al., Tests of the gravitational inverse-square law below the dark-energy length scale, Phys. Rev. Lett. 98 (2007) 021101 [hep-ph/0611184] [INSPIRE].
M. Bordag, U. Mohideen and V.M. Mostepanenko, New developments in the Casimir effect, Phys. Rept. 353 (2001) 1 [quant-ph/0106045] [INSPIRE].
M. Bordag, G.L. Klimchitskaya, U. Mohideen and V.M. Mostepanenko, Advances in the Casimir effect, Int. Ser. Monogr. Phys. 145 (2009) 1 [INSPIRE].
V.V. Nesvizhevsky, G. Pignol and K.V. Protasov, Neutron scattering and extra short range interactions, Phys. Rev. D 77 (2008) 034020 [arXiv:0711.2298] [INSPIRE].
Yu. N. Pokotilovski, Constraints on new interactions from neutron scattering experiments, Phys. Atom. Nucl. 69 (2006) 924 [hep-ph/0601157] [INSPIRE].
J. Redondo and A. Ringwald, Light shining through walls, Contemp. Phys. 52 (2011) 211 [arXiv:1011.3741].
M. Ahlers, J. Jaeckel, J. Redondo and A. Ringwald, Probing Hidden Sector Photons through the Higgs Window, Phys. Rev. D 78 (2008) 075005 [arXiv:0807.4143] [INSPIRE].
J.D. Clarke, R. Foot and R.R. Volkas, Phenomenology of a very light scalar (100 MeV < mh < 10 GeV) mixing with the SM Higgs, JHEP 02 (2014) 123 [arXiv:1310.8042] [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].
S. Gardner, R.J. Holt and A.S. Tadepalli, New prospects in fixed target searches for dark forces with the SeaQuest experiment at Fermilab, Phys. Rev. D 93 (2016) 115015 [arXiv:1509.00050] [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].
CHARM collaboration, F. Bergsma et al., Search for axion like particle production in 400 GeV proton-copper interactions, Phys. Lett. B 157 (1985) 458 [INSPIRE].
F. Bezrukov and D. Gorbunov, Light inflaton Hunter’s Guide, JHEP 05 (2010) 010 [arXiv:0912.0390] [INSPIRE].
K. Schmidt-Hoberg, F. Staub and M.W. Winkler, Constraints on light mediators: confronting dark matter searches with B physics, Phys. Lett. B 727 (2013) 506 [arXiv:1310.6752] [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. 1507 (2015) 103] [arXiv:1412.5174] [INSPIRE].
B. Batell, M. Pospelov and A. Ritz, Exploring portals to a hidden sector through fixed targets, Phys. Rev. D 80 (2009) 095024 [arXiv:0906.5614] [INSPIRE].
D.E. Morrissey and A.P. Spray, New limits on light hidden sectors from fixed-target experiments, JHEP 06 (2014) 083 [arXiv:1402.4817] [INSPIRE].
C. Frugiuele, Probing sub-GeV dark sectors via high energy proton beams at LBNF/DUNE and MiniBooNE, arXiv:1701.05464 [INSPIRE].
P. Coloma, B.A. Dobrescu, C. Frugiuele and R. Harnik, Dark matter beams at LBNF, JHEP 04 (2016) 047 [arXiv:1512.03852] [INSPIRE].
LHCb collaboration, Differential branching fraction and angular analysis of the B + → K + μ + μ − decay, JHEP 02 (2013) 105 [arXiv:1209.4284] [INSPIRE].
Belle collaboration, J.T. Wei et al., Measurement of the differential branching fraction and forward-backword asymmetry for B → K (∗) ℓ + ℓ −, Phys. Rev. Lett. 103 (2009) 171801 [arXiv:0904.0770] [INSPIRE].
LHCb collaboration, Search for hidden-sector bosons in B 0 → K ∗0 μ + μ − decays, Phys. Rev. Lett. 115 (2015) 161802 [arXiv:1508.04094] [INSPIRE].
F. Bezrukov and D. Gorbunov, Relic gravity waves and 7 keV dark matter from a GeV scale inflaton, Phys. Lett. B 736 (2014) 494 [arXiv:1403.4638] [INSPIRE].
Belle collaboration, H.J. Hyun et al., Search for a low mass particle decaying into μ + μ − in B 0 → K ∗0 X and B 0 → rho 0 X at Belle, Phys. Rev. Lett. 105 (2010) 091801 [arXiv:1005.1450] [INSPIRE].
KTEV collaboration, A. Alavi-Harati et al., Search for the Decay K L → π 0 μ + μ −, Phys. Rev. Lett. 84 (2000) 5279 [hep-ex/0001006] [INSPIRE].
KTeV collaboration, A. Alavi-Harati et al., Search for the rare decay K(L) → π 0 e + e −, Phys. Rev. Lett. 93 (2004) 021805 [hep-ex/0309072] [INSPIRE].
NA48/2 collaboration, J.R. Batley et al., New measurement of the K ± → π ± μ + μ − decay, Phys. Lett. B 697 (2011) 107 [arXiv:1011.4817] [INSPIRE].
E787 collaboration, S. Adler et al., Further search for the decay \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) in the momentum region P < 195 MeV/c, Phys. Rev. D 70 (2004) 037102 [hep-ex/0403034] [INSPIRE].
BNL-E949 collaboration, A.V. Artamonov et al., Study of the decay \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) in the momentum region 140 < P π < 199 MeV/c, Phys. Rev. D 79 (2009) 092004 [arXiv:0903.0030] [INSPIRE].
Proceedings of the Kaon Physics International Conference (KAON13), April 29-May 1, Ann Arbor, Michigan, U.S.A. (2013).
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].
L3 collaboration, M. Acciarri et al., Search for neutral Higgs boson production through the process e + e − → Z ∗ H 0, Phys. Lett. B 385 (1996) 454 [INSPIRE].
DELPHI, OPAL, ALEPH, LEP Working Group for Higgs Boson Searches, L3 collaboration, S. Schael et al., Search for neutral MSSM Higgs bosons at LEP, Eur. Phys. J. C 47 (2006) 547 [hep-ex/0602042] [INSPIRE].
P. Bechtle, S. Heinemeyer, O. Stål, T. Stefaniak and G. Weiglein, Probing the standard model with Higgs signal rates from the Tevatron, the LHC and a future ILC, JHEP 11 (2014) 039 [arXiv:1403.1582] [INSPIRE].
P. Bechtle, S. Heinemeyer, O. Stål, T. Stefaniak and G. Weiglein, HiggsSignals: confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC, Eur. Phys. J. C 74 (2014) 2711 [arXiv:1305.1933] [INSPIRE].
LHC Higgs Cross section Working Group collaboration, J.R. Andersen et al., Handbook of LHC Higgs cross sections: 3. Higgs properties, arXiv:1307.1347 [INSPIRE].
D. Curtin et al., Exotic decays of the 125 GeV Higgs boson, Phys. Rev. D 90 (2014) 075004 [arXiv:1312.4992] [INSPIRE].
ATLAS collaboration, Search for Higgs bosons decaying to aa in the μμτ τ final state in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS experiment, Phys. Rev. D 92 (2015) 052002 [arXiv:1505.01609] [INSPIRE].
ATLAS collaboration, Search for new phenomena in events with at least three photons collected in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Eur. Phys. J. C 76 (2016) 210 [arXiv:1509.05051] [INSPIRE].
CMS collaboration, Search for exotic decays of the Higgs boson to a pair of new light bosons with two muon and two b jets in final states, CMS-PAS-HIG-14-041 (2014).
CMS collaboration, Search for neutral MSSM Higgs bosons decaying to μ + μ − in pp collisions at \( \sqrt{s}=7 \) and 8 TeV, Phys. Lett. B 752 (2016) 221 [arXiv:1508.01437] [INSPIRE].
CMS collaboration, Search for the exotic decay of the Higgs boson to two light pseudoscalar bosons with two taus and two muons in the final state at \( \sqrt{s}=8 \) TeV, CMS-PAS-HIG-15-011 (2015).
CMS collaboration, Search for a very light NMSSM Higgs boson produced in decays of the 125 GeV scalar boson and decaying into τ leptons in pp collisions at \( \sqrt{s}=8 \) TeV, JHEP 01 (2016) 079 [arXiv:1510.06534] [INSPIRE].
E. Masso, F. Rota and G. Zsembinszki, On axion thermalization in the early universe, Phys. Rev. D 66 (2002) 023004 [hep-ph/0203221] [INSPIRE].
M.S. Turner, Thermal production of not so invisible axions in the early universe, Phys. Rev. Lett. 59 (1987) 2489 [Erratum ibid. 60 (1988) 1101] [INSPIRE].
H. Ishida, M. Kusakabe and H. Okada, Effects of long-lived 10 MeV-scale sterile neutrinos on primordial elemental abundances and the effective neutrino number, Phys. Rev. D 90 (2014) 083519 [arXiv:1403.5995] [INSPIRE].
E.W. Kolb and M.S. Turner, The early universe, Front. Phys. 69 (1990) 1 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
V. Poulin and P.D. Serpico, Nonuniversal BBN bounds on electromagnetically decaying particles, Phys. Rev. D 91 (2015) 103007 [arXiv:1503.04852] [INSPIRE].
D. Cadamuro and J. Redondo, Cosmological bounds on pseudo Nambu-Goldstone bosons, JCAP 02 (2012) 032 [arXiv:1110.2895] [INSPIRE].
A. Kogut et al., The Primordial Inflation Explorer (PIXIE): a nulling polarimeter for Cosmic Microwave Background observations, JCAP 07 (2011) 025 [arXiv:1105.2044] [INSPIRE].
P. Arias et al., WISPy cold dark matter, JCAP 06 (2012) 013 [arXiv:1201.5902] [INSPIRE].
G. Krnjaic, Probing light thermal dark-matter with a Higgs portal mediator, Phys. Rev. D 94 (2016) 073009 [arXiv:1512.04119] [INSPIRE].
N. Ishizuka and M. Yoshimura, Axion and dilaton emissivity from nascent neutron stars, Prog. Theor. Phys. 84 (1990) 233 [INSPIRE].
K. Blum and D. Kushnir, Neutrino signal of collapse-induced thermonuclear supernovae: the case for prompt black hole formation in SN1987A, Astrophys. J. 828 (2016) 31 [arXiv:1601.03422] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
G. Raffelt, Limits on a CP-violating scalar axion-nucleon interaction, Phys. Rev. D 86 (2012) 015001 [arXiv:1205.1776] [INSPIRE].
P.W. Graham, I.G. Irastorza, S.K. Lamoreaux, A. Lindner and K.A. van Bibber, Experimental searches for the axion and axion-like particles, Ann. Rev. Nucl. Part. Sci. 65 (2015) 485 [arXiv:1602.00039] [INSPIRE].
T. Dafni et al., An update on the axion helioscopes front: current activities at CAST and the IAXO project, Nucl. Part. Phys. Proc. 273-275 (2016) 244 [INSPIRE].
E. Ferrer Ribas et al., The IAXO helioscope, J. Phys. Conf. Ser. 650 (2015) 012009 [INSPIRE].
W.J. Marciano, A. Masiero, P. Paradisi and M. Passera, Contributions of axionlike particles to lepton dipole moments, Phys. Rev. D 94 (2016) 115033 [arXiv:1607.01022] [INSPIRE].
ACME collaboration, J. Baron et al., Order of magnitude smaller limit on the electric dipole moment of the electron, Science 343 (2014) 269 [arXiv:1310.7534] [INSPIRE].
J.L. Hewett et al., Fundamental physics at the intensity frontier, arXiv:1205.2671.
M.B. Voloshin, Once again about the role of gluonic mechanism in interaction of light Higgs boson with hadrons, Sov. J. Nucl. Phys. 44 (1986) 478 [INSPIRE].
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Flacke, T., Frugiuele, C., Fuchs, E. et al. Phenomenology of relaxion-Higgs mixing. J. High Energ. Phys. 2017, 50 (2017). https://doi.org/10.1007/JHEP06(2017)050
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DOI: https://doi.org/10.1007/JHEP06(2017)050