Abstract
LHC results do not confirm conventional natural solutions to the Higgs mass hierarchy problem, motivating alternative interpretations where a hierarchically small weak scale is generated from a dimension-less quantum dynamics. We propose weakly and strongly-coupled models where the field that breaks classical scale invariance giving mass to itself and to the Higgs is identified with a possible new resonance within the LHC reach. As an example, we identify such resonance with the 750 GeV diphoton excess recently reported by ATLAS and CMS. Such models can be extrapolated up to the Planck scale, provide Dark Matter candidates and eliminate the SM vacuum instability.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Farina, D. Pappadopulo and A. Strumia, A modified naturalness principle and its experimental tests, JHEP 08 (2013) 022 [arXiv:1303.7244] [INSPIRE].
M. Heikinheimo, A. Racioppi, M. Raidal, C. Spethmann and K. Tuominen, Physical naturalness and dynamical breaking of classical scale invariance, Mod. Phys. Lett. A 29 (2014) 1450077 [arXiv:1304.7006] [INSPIRE].
S.L. Adler, A formula for the induced gravitational constant, Phys. Lett. B 95 (1980) 241 [INSPIRE].
A. Zee, Spontaneously generated gravity, Phys. Rev. D 23 (1981) 858 [INSPIRE].
A. Salvio and A. Strumia, Agravity, JHEP 06 (2014) 080 [arXiv:1403.4226] [INSPIRE].
M. Rinaldi, G. Cognola, L. Vanzo and S. Zerbini, Inflation in scale-invariant theories of gravity, Phys. Rev. D 91 (2015) 123527 [arXiv:1410.0631] [INSPIRE].
K. Kannike et al., Dynamically induced Planck scale and inflation, JHEP 05 (2015) 065 [arXiv:1502.01334] [INSPIRE].
A. Farzinnia and S. Kouwn, Classically scale invariant inflation, supermassive WIMPs and adimensional gravity, Phys. Rev. D 93 (2016) 063528 [arXiv:1512.05890] [INSPIRE].
A. Farzinnia, Classically scale invariant inflation and (A)gravity, Int. J. Mod. Phys. Conf. Ser. 43 (2016) 1660203 [arXiv:1512.08727] [INSPIRE].
A. Salvio and A. Strumia, Quantum mechanics of 4-derivative theories, Eur. Phys. J. C 76 (2016) 227 [arXiv:1512.01237] [INSPIRE].
M.B. Einhorn and D.R.T. Jones, Induced gravity II: grand unification, JHEP 05 (2016) 185 [arXiv:1602.06290] [INSPIRE].
T. Hambye and A. Strumia, Dynamical generation of the weak and dark matter scale, Phys. Rev. D 88 (2013) 055022 [arXiv:1306.2329] [INSPIRE].
R. Foot, A. Kobakhidze, K. McDonald and R. Volkas, Neutrino mass in radiatively-broken scale-invariant models, Phys. Rev. D 76 (2007) 075014 [arXiv:0706.1829] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory, Phys. Rev. D 77 (2008) 035006 [arXiv:0709.2750] [INSPIRE].
R. Foot, A. Kobakhidze and R.R. Volkas, Stable mass hierarchies and dark matter from hidden sectors in the scale-invariant standard model, Phys. Rev. D 82 (2010) 035005 [arXiv:1006.0131] [INSPIRE].
R. Foot and A. Kobakhidze, Electroweak scale invariant models with small cosmological constant, Int. J. Mod. Phys. A 30 (2015) 1550126 [arXiv:1112.0607] [INSPIRE].
L. Alexander-Nunneley and A. Pilaftsis, The minimal scale invariant extension of the standard model, JHEP 09 (2010) 021 [arXiv:1006.5916] [INSPIRE].
K. Ishiwata, Dark matter in classically scale-invariant two singlets standard model, Phys. Lett. B 710 (2012) 134 [arXiv:1112.2696] [INSPIRE].
J.S. Lee and A. Pilaftsis, Radiative corrections to scalar masses and mixing in a scale invariant two Higgs doublet model, Phys. Rev. D 86 (2012) 035004 [arXiv:1201.4891] [INSPIRE].
A. Farzinnia, H.-J. He and J. Ren, Natural electroweak symmetry breaking from scale invariant Higgs mechanism, Phys. Lett. B 727 (2013) 141 [arXiv:1308.0295] [INSPIRE].
D. Chway, T.H. Jung, H.D. Kim and R. Dermisek, Radiative electroweak symmetry breaking model perturbative all the way to the Planck scale, Phys. Rev. Lett. 113 (2014) 051801 [arXiv:1308.0891] [INSPIRE].
E. Gabrielli et al., Towards completing the standard model: vacuum stability, EWSB and dark matter, Phys. Rev. D 89 (2014) 015017 [arXiv:1309.6632] [INSPIRE].
C.T. Hill, Is the Higgs Boson Associated with Coleman-Weinberg Dynamical Symmetry Breaking?, Phys. Rev. D 89 (2014) 073003 [arXiv:1401.4185] [INSPIRE].
J. Guo and Z. Kang, Higgs naturalness and dark matter stability by scale invariance, Nucl. Phys. B 898 (2015) 415 [arXiv:1401.5609] [INSPIRE].
H. Davoudiasl and I.M. Lewis, Right-handed neutrinos as the origin of the electroweak scale, Phys. Rev. D 90 (2014) 033003 [arXiv:1404.6260] [INSPIRE].
K. Allison, C.T. Hill and G.G. Ross, Ultra-weak sector, Higgs boson mass and the dilaton, Phys. Lett. B 738 (2014) 191 [arXiv:1404.6268] [INSPIRE].
A. Farzinnia and J. Ren, Higgs partner searches and dark matter phenomenology in a classically scale invariant Higgs boson sector, Phys. Rev. D 90 (2014) 015019 [arXiv:1405.0498] [INSPIRE].
M. Lindner, S. Schmidt and J. Smirnov, Neutrino masses and conformal electro-weak symmetry breaking, JHEP 10 (2014) 177 [arXiv:1405.6204] [INSPIRE].
K. Allison, C.T. Hill and G.G. Ross, An ultra-weak sector, the strong CP problem and the pseudo-Goldstone dilaton, Nucl. Phys. B 891 (2015) 613 [arXiv:1409.4029] [INSPIRE].
K. Endo and Y. Sumino, A scale-invariant Higgs sector and structure of the vacuum, JHEP 05 (2015) 030 [arXiv:1503.02819] [INSPIRE].
A. Karam and K. Tamvakis, Dark matter and neutrino masses from a scale-invariant multi-Higgs portal, Phys. Rev. D 92 (2015) 075010 [arXiv:1508.03031] [INSPIRE].
A. Ahriche, K.L. McDonald and S. Nasri, The scale-invariant scotogenic model, JHEP 06 (2016) 182 [arXiv:1604.05569] [INSPIRE].
S. Benic and B. Radovcic, Electroweak breaking and dark matter from the common scale, Phys. Lett. B 732 (2014) 91 [arXiv:1401.8183] [INSPIRE].
G.M. Pelaggi, Predictions of a model of weak scale from dynamical breaking of scale invariance, Nucl. Phys. B 893 (2015) 443 [arXiv:1406.4104] [INSPIRE].
W. Altmannshofer, W.A. Bardeen, M. Bauer, M. Carena and J.D. Lykken, Light dark matter, naturalness and the radiative origin of the electroweak scale, JHEP 01 (2015) 032 [arXiv:1408.3429] [INSPIRE].
A.D. Plascencia, Classical scale invariance in the inert doublet model, JHEP 09 (2015) 026 [arXiv:1507.04996] [INSPIRE].
N. Haba, H. Ishida, N. Okada and Y. Yamaguchi, Bosonic seesaw mechanism in a classically conformal extension of the Standard Model, Phys. Lett. B 754 (2016) 349 [arXiv:1508.06828] [INSPIRE].
A. Karam and K. Tamvakis, Dark matter and neutrino masses from a classically scale-invariant multi-Higgs portal, arXiv:1603.08470 [INSPIRE].
O. Antipin, M. Redi and A. Strumia, Dynamical generation of the weak and Dark Matter scales from strong interactions, JHEP 01 (2015) 157 [arXiv:1410.1817] [INSPIRE].
M. Holthausen, J. Kubo, K.S. Lim and M. Lindner, Electroweak and conformal symmetry breaking by a strongly coupled hidden sector, JHEP 12 (2013) 076 [arXiv:1310.4423] [INSPIRE].
J. Kubo, K.S. Lim and M. Lindner, Electroweak symmetry breaking via QCD, Phys. Rev. Lett. 113 (2014) 091604 [arXiv:1403.4262] [INSPIRE].
C.D. Carone and R. Ramos, Dark chiral symmetry breaking and the origin of the electroweak scale, Phys. Lett. B 746 (2015) 424 [arXiv:1505.04448] [INSPIRE].
H. Ishida, S. Matsuzaki and Y. Yamaguchi, Invisible axion-like dark matter from electroweak bosonic seesaw, arXiv:1604.07712 [INSPIRE].
ATLAS collaboration, Search for resonances decaying to photon pairs in 3.2 fb −1 of pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2015-081 (2015).
CMS collaboration, Search for new physics in high mass diphoton events in proton-proton collisions at 13 TeV, CMS-PAS-EXO-15-004 (2015).
R. Franceschini et al., What is the γγ resonance at 750 GeV?, JHEP 03 (2016) 144 [arXiv:1512.04933] [INSPIRE].
S. Di Chiara, L. Marzola and M. Raidal, First interpretation of the 750 GeV diphoton resonance at the LHC, Phys. Rev. D 93 (2016) 095018 [arXiv:1512.04939] [INSPIRE].
C. Petersson and R. Torre, 750 GeV diphoton excess from the goldstino superpartner, Phys. Rev. Lett. 116 (2016) 151804 [arXiv:1512.05333] [INSPIRE].
S.V. Demidov and D.S. Gorbunov, On the sgoldstino interpretation of the diphoton excess, JETP Lett. 103 (2016) 219 [arXiv:1512.05723] [INSPIRE].
T.-F. Feng, X.-Q. Li, H.-B. Zhang and S.-M. Zhao, The LHC 750 GeV diphoton excess in supersymmetry with gauged baryon and lepton numbers, arXiv:1512.06696 [INSPIRE].
L.M. Carpenter, R. Colburn and J. Goodman, Supersoft SUSY models and the 750 GeV diphoton excess, beyond effective operators, Phys. Rev. D 94 (2016) 015016 [arXiv:1512.06107] [INSPIRE].
R. Ding, L. Huang, T. Li and B. Zhu, Interpreting 750 GeV diphoton excess with R-parity violating supersymmetry, arXiv:1512.06560 [INSPIRE].
F. Wang, L. Wu, J.M. Yang and M. Zhang, 750 GeV diphoton resonance, 125 GeV Higgs and muon g − 2 anomaly in deflected anomaly mediation SUSY breaking scenarios, Phys. Lett. B 759 (2016) 191 [arXiv:1512.06715] [INSPIRE].
B.C. Allanach, P.S.B. Dev, S.A. Renner and K. Sakurai, 750 GeV diphoton excess explained by a resonant sneutrino in R-parity violating supersymmetry, Phys. Rev. D 93 (2016) 115022 [arXiv:1512.07645] [INSPIRE].
J.A. Casas, J.R. Espinosa and J.M. Moreno, The 750 GeV diphoton excess as a first light on supersymmetry breaking, Phys. Lett. B 759 (2016) 159 [arXiv:1512.07895] [INSPIRE].
L.J. Hall, K. Harigaya and Y. Nomura, 750 GeV diphotons: implications for supersymmetric unification, JHEP 03 (2016) 017 [arXiv:1512.07904] [INSPIRE].
Y. Jiang, Y.-Y. Li and T. Liu, 750 GeV resonance in the gauged U(1)′ -extended MSSM, Phys. Lett. B 759 (2016) 354 [arXiv:1512.09127] [INSPIRE].
W. Chao, The diphoton excess from an exceptional supersymmetric standard model, arXiv:1601.00633 [INSPIRE].
B. Dutta et al., Diphoton excess in consistent supersymmetric SU(5) models with vector-like particles, arXiv:1601.00866 [INSPIRE].
S.F. King and R. Nevzorov, 750 GeV diphoton resonance from singlets in an exceptional supersymmetric standard model, JHEP 03 (2016) 139 [arXiv:1601.07242] [INSPIRE].
G. Lazarides and Q. Shafi, Diphoton resonances in a U(1) B−L extension of the minimal supersymmetric standard model, Phys. Rev. D 93 (2016) 111702 [arXiv:1602.07866] [INSPIRE].
R. Ding et al., Systematic study of diphoton resonance at 750 GeV from sgoldstino, arXiv:1602.00977 [INSPIRE].
D. Bardhan, P. Byakti, D. Ghosh and T. Sharma, The 750 GeV diphoton resonance as an sgoldstino: a reappraisal, JHEP 06 (2016) 129 [arXiv:1603.05251] [INSPIRE].
P. Baratella, J. Elias-Miro, J. Penedo and A. Romanino, A closer look to the sgoldstino interpretation of the diphoton excess, JHEP 06 (2016) 086 [arXiv:1603.05682] [INSPIRE].
H.P. Nilles and M.W. Winkler, 750 GeV diphotons and supersymmetric grand unification, JHEP 05 (2016) 182 [arXiv:1604.03598] [INSPIRE].
D. Choudhury and K. Ghosh, The LHC diphoton excess at 750 GeV in the framework of the constrained minimal supersymmetric standard model, arXiv:1605.00013 [INSPIRE].
A. Djouadi and A. Pilaftsis, The 750 GeV diphoton resonance in the MSSM, arXiv:1605.01040 [INSPIRE].
E. Molinaro, F. Sannino and N. Vignaroli, Minimal composite dynamics versus axion origin of the diphoton excess, arXiv:1512.05334 [INSPIRE].
J.M. No, V. Sanz and J. Setford, See-saw composite Higgs model at the LHC: linking naturalness to the 750 GeV diphoton resonance, Phys. Rev. D 93 (2016) 095010 [arXiv:1512.05700] [INSPIRE].
A. Belyaev et al., Singlets in composite Higgs models in light of the LHC 750 GeV diphoton excess, Phys. Rev. D 94 (2016) 015004 [arXiv:1512.07242] [INSPIRE].
O. Antipin, M. Mojaza and F. Sannino, Minimal Coleman-Weinberg theory explains the diphoton excess, Phys. Rev. D 93 (2016) 115007 [arXiv:1512.06708] [INSPIRE].
L. Marzola, A. Racioppi, M. Raidal, F.R. Urban and H. Veermäe, Non-minimal CW inflation, electroweak symmetry breaking and the 750 GeV anomaly, JHEP 03 (2016) 190 [arXiv:1512.09136] [INSPIRE].
G.M. Pelaggi, A. Strumia and E. Vigiani, Trinification can explain the di-photon and di-boson LHC anomalies, JHEP 03 (2016) 025 [arXiv:1512.07225] [INSPIRE].
G.F. Giudice et al., Softened gravity and the extension of the standard model up to infinite energy, JHEP 02 (2015) 137 [arXiv:1412.2769] [INSPIRE].
K. Kannike, Vacuum stability conditions from copositivity criteria, Eur. Phys. J. C 72 (2012) 2093 [arXiv:1205.3781] [INSPIRE].
R. Franceschini et al., Digamma, what next?, arXiv:1604.06446 [INSPIRE].
ATLAS collaboration, Search for squarks and gluinos in final states with jets and missing transverse momentum at \( \sqrt{s}=13 \) TeV with the ATLAS detector, Eur. Phys. J. C 76 (2016) 392 [arXiv:1605.03814] [INSPIRE].
J.R. Ellis, M.K. Gaillard and D.V. Nanopoulos, A phenomenological profile of the Higgs boson, Nucl. Phys. B 106 (1976) 292 [INSPIRE].
M.A. Shifman, A.I. Vainshtein, M.B. Voloshin and V.I. Zakharov, Low-energy theorems for Higgs boson couplings to photons, Sov. J. Nucl. Phys. 30 (1979) 711 [Yad. Fiz. 30 (1979) 1368] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the standard model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
A. Salvio, A simple motivated completion of the standard model below the Planck scale: axions and right-handed neutrinos, Phys. Lett. B 743 (2015) 428 [arXiv:1501.03781] [INSPIRE].
V. Branchina and E. Messina, Stability, Higgs boson mass and new physics, Phys. Rev. Lett. 111 (2013) 241801 [arXiv:1307.5193] [INSPIRE].
M. Dhuria and G. Goswami, Perturbativity, vacuum stability and inflation in the light of 750 GeV diphoton excess, arXiv:1512.06782 [INSPIRE].
J. Zhang and S. Zhou, Electroweak vacuum stability and diphoton excess at 750 GeV, Chin. Phys. C 40 (2016) 081001 [arXiv:1512.07889] [INSPIRE].
A. Salvio and A. Mazumdar, Higgs stability and the 750 GeV diphoton excess, Phys. Lett. B 755 (2016) 469 [arXiv:1512.08184] [INSPIRE].
Y. Hamada, T. Noumi, S. Sun and G. Shiu, An O(750) GeV resonance and inflation, Phys. Rev. D 93 (2016) 123514 [arXiv:1512.08984] [INSPIRE].
S.-F. Ge, H.-J. He, J. Ren and Z.-Z. Xianyu, Realizing dark matter and Higgs inflation in light of LHC diphoton excess, Phys. Lett. B 757 (2016) 480 [arXiv:1602.01801] [INSPIRE].
K.J. Bae, M. Endo, K. Hamaguchi and T. Moroi, Diphoton excess and running couplings, Phys. Lett. B 757 (2016) 493 [arXiv:1602.03653] [INSPIRE].
A. Salvio and A. Mazumdar, Classical and quantum initial conditions for Higgs inflation, Phys. Lett. B 750 (2015) 194 [arXiv:1506.07520] [INSPIRE].
A. Salvio, F. Staub, A. Strumia and A. Urbano, On the maximal diphoton width, JHEP 03 (2016) 214 [arXiv:1602.01460] [INSPIRE].
K. Harigaya and Y. Nomura, Composite models for the 750 GeV diphoton excess, Phys. Lett. B 754 (2016) 151 [arXiv:1512.04850] [INSPIRE].
Y. Nakai, R. Sato and K. Tobioka, Footprints of new strong dynamics via anomaly and the 750 GeV diphoton, Phys. Rev. Lett. 116 (2016) 151802 [arXiv:1512.04924] [INSPIRE].
A. Pilaftsis, Diphoton Signatures from Heavy Axion Decays at the CERN Large Hadron Collider, Phys. Rev. D 93 (2016) 015017 [arXiv:1512.04931] [INSPIRE].
Y. Bai, J. Berger and R. Lu, 750 GeV dark pion: cousin of a dark G-parity odd WIMP, Phys. Rev. D 93 (2016) 076009 [arXiv:1512.05779] [INSPIRE].
L. Bian, N. Chen, D. Liu and J. Shu, Hidden confining world on the 750 GeV diphoton excess, Phys. Rev. D 93 (2016) 095011 [arXiv:1512.05759] [INSPIRE].
K. Harigaya and Y. Nomura, A composite model for the 750 GeV diphoton excess, JHEP 03 (2016) 091 [arXiv:1602.01092] [INSPIRE].
M. Redi, A. Strumia, A. Tesi and E. Vigiani, Di-photon resonance and Dark Matter as heavy pions, JHEP 05 (2016) 078 [arXiv:1602.07297] [INSPIRE].
K. Harigaya and Y. Nomura, Hidden pion varieties in composite models for diphoton resonances, arXiv:1603.05774 [INSPIRE].
Y. Bai, V. Barger and J. Berger, Constraints on color-octet companions of a 750 GeV heavy pion from dijet and photon plus jet resonance searches, Phys. Rev. D 94 (2016) 011701 [arXiv:1604.07835] [INSPIRE].
O. Antipin, M. Redi, A. Strumia and E. Vigiani, Accidental composite dark matter, JHEP 07 (2015) 039 [arXiv:1503.08749] [INSPIRE].
F. Feruglio, B. Gavela, K. Kanshin, P.A.N. Machado, S. Rigolin and S. Saa, The minimal linear σ-model for the Goldstone Higgs, JHEP 06 (2016) 038 [arXiv:1603.05668] [INSPIRE].
E. Megias, O. Pujolàs and M. Quirós, On dilatons and the LHC diphoton excess, JHEP 05 (2016) 137 [arXiv:1512.06106] [INSPIRE].
J. Cao, L. Shang, W. Su, Y. Zhang and J. Zhu, Interpreting the 750 GeV diphoton excess in the minimal dilaton model, Eur. Phys. J. C 76 (2016) 239 [arXiv:1601.02570] [INSPIRE].
B. Agarwal, J. Isaacson and K.A. Mohan, Minimal dilaton model and the diphoton excess, arXiv:1604.05328 [INSPIRE].
R. Jinno and M. Takimoto, Probing classically conformal B-L model with gravitational waves, arXiv:1604.05035 [INSPIRE].
G. Servant, Baryogenesis from Strong CP Violation and the QCD Axion, Phys. Rev. Lett. 113 (2014) 171803 [arXiv:1407.0030] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1605.08681
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Kannike, K., Pelaggi, G.M., Salvio, A. et al. The Higgs of the Higgs and the diphoton channel. J. High Energ. Phys. 2016, 101 (2016). https://doi.org/10.1007/JHEP07(2016)101
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2016)101