Abstract
Could new physics first manifest itself in Higgs self-coupling measurements? In other words, how large could deviations in the Higgs self-coupling be, if other Higgs and electroweak measurements are compatible with Standard Model predictions? Using theoretical arguments supported by concrete models, we derive a bound on the ratio of self-coupling to single-Higgs coupling deviations in ultraviolet completions of the Standard Model where parameters are not fine-tuned. Broadly speaking, a one-loop hierarchy is allowed. We thus stress that self-coupling measurements at the LHC and future colliders probe uncharted parameter space, presenting discovery potential even in the absence of emerging hints in single-Higgs coupling measurements. For instance, if other observables show less than two-sigma deviations by the end of the LHC programme, the Higgs self-coupling deviations could still exceed 200% in the models discussed, without introducing fine-tuning of ultraviolet parameters.
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16 February 2023
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP02(2023)165
References
H.E. Logan and V. Rentala, All the generalized Georgi-Machacek models, Phys. Rev. D 92 (2015) 075011 [arXiv:1502.01275] [INSPIRE].
M. Chala, C. Krause and G. Nardini, Signals of the electroweak phase transition at colliders and gravitational wave observatories, JHEP 07 (2018) 062 [arXiv:1802.02168] [INSPIRE].
G. Durieux, M. McCullough and E. Salvioni, Gegenbauer Goldstones, JHEP 01 (2022) 076 [arXiv:2110.06941] [INSPIRE].
G. Durieux, M. McCullough and E. Salvioni, Gegenbauer’s Twin, JHEP 05 (2022) 140 [arXiv:2202.01228] [INSPIRE].
W. Hollik and S. Peñaranda, Yukawa coupling quantum corrections to the selfcouplings of the lightest MSSM Higgs boson, Eur. Phys. J. C 23 (2002) 163 [hep-ph/0108245] [INSPIRE].
S. Kanemura, S. Kiyoura, Y. Okada, E. Senaha and C.P. Yuan, New physics effect on the Higgs selfcoupling, Phys. Lett. B 558 (2003) 157 [hep-ph/0211308] [INSPIRE].
V. Barger, T. Han, P. Langacker, B. McElrath and P. Zerwas, Effects of genuine dimension-six Higgs operators, Phys. Rev. D 67 (2003) 115001 [hep-ph/0301097] [INSPIRE].
C. Grojean, G. Servant and J.D. Wells, First-order electroweak phase transition in the standard model with a low cutoff, Phys. Rev. D 71 (2005) 036001 [hep-ph/0407019] [INSPIRE].
G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
R.S. Gupta, H. Rzehak and J.D. Wells, How well do we need to measure the Higgs boson mass and self-coupling?, Phys. Rev. D 88 (2013) 055024 [arXiv:1305.6397] [INSPIRE].
A. Efrati and Y. Nir, What if λhhh ≠ \( 3{m}_h^2 \)/v, arXiv:1401.0935 [INSPIRE].
J. de Blas, M. Chala, M. Perez-Victoria and J. Santiago, Observable Effects of General New Scalar Particles, JHEP 04 (2015) 078 [arXiv:1412.8480] [INSPIRE].
A. Azatov, R. Contino, G. Panico and M. Son, Effective field theory analysis of double Higgs boson production via gluon fusion, Phys. Rev. D 92 (2015) 035001 [arXiv:1502.00539] [INSPIRE].
F. Goertz, Electroweak Symmetry Breaking without the μ2 Term, Phys. Rev. D 94 (2016) 015013 [arXiv:1504.00355] [INSPIRE].
S. Dawson, A. Ismail and I. Low, What’s in the loop? The anatomy of double Higgs production, Phys. Rev. D 91 (2015) 115008 [arXiv:1504.05596] [INSPIRE].
D. Buttazzo, F. Sala and A. Tesi, Singlet-like Higgs bosons at present and future colliders, JHEP 11 (2015) 158 [arXiv:1505.05488] [INSPIRE].
I.F. Ginzburg, Triple Higgs coupling in the most general 2HDM at SM-like scenario, Eur. Phys. J. C 77 (2017) 9 [arXiv:1510.08270] [INSPIRE].
D. Liu, A. Pomarol, R. Rattazzi and F. Riva, Patterns of Strong Coupling for LHC Searches, JHEP 11 (2016) 141 [arXiv:1603.03064] [INSPIRE].
L. Di Luzio, J.F. Kamenik and M. Nardecchia, Implications of perturbative unitarity for scalar di-boson resonance searches at LHC, Eur. Phys. J. C 77 (2017) 30 [arXiv:1604.05746] [INSPIRE].
J. Baglio and C. Weiland, The triple Higgs coupling: A new probe of low-scale seesaw models, JHEP 04 (2017) 038 [arXiv:1612.06403] [INSPIRE].
S. Di Vita, C. Grojean, G. Panico, M. Riembau and T. Vantalon, A global view on the Higgs self-coupling, JHEP 09 (2017) 069 [arXiv:1704.01953] [INSPIRE].
L. Di Luzio, R. Gröber and M. Spannowsky, Maxi-sizing the trilinear Higgs self-coupling: how large could it be?, Eur. Phys. J. C 77 (2017) 788 [arXiv:1704.02311] [INSPIRE].
A. Carvalho, F. Goertz, K. Mimasu, M. Gouzevitch and A. Aggarwal, On the reinterpretation of non-resonant searches for Higgs boson pairs, JHEP 02 (2021) 049 [arXiv:1710.08261] [INSPIRE].
S. Chang and M.A. Luty, The Higgs Trilinear Coupling and the Scale of New Physics, JHEP 03 (2020) 140 [arXiv:1902.05556] [INSPIRE].
A. Falkowski and R. Rattazzi, Which EFT, JHEP 10 (2019) 255 [arXiv:1902.05936] [INSPIRE].
P. Agrawal, D. Saha, L.-X. Xu, J.-H. Yu and C.P. Yuan, Determining the shape of the Higgs potential at future colliders, Phys. Rev. D 101 (2020) 075023 [arXiv:1907.02078] [INSPIRE].
F. Abu-Ajamieh, S. Chang, M. Chen and M.A. Luty, Higgs coupling measurements and the scale of new physics, JHEP 07 (2021) 056 [arXiv:2009.11293] [INSPIRE].
J.R. Espinosa, Higgs Effective Field Theory, PoS CORFU2015 (2016) 012 [INSPIRE].
G.F. Giudice and M. McCullough, A Clockwork Theory, JHEP 02 (2017) 036 [arXiv:1610.07962] [INSPIRE].
A. Manohar and H. Georgi, Chiral Quarks and the Nonrelativistic Quark Model, Nucl. Phys. B 234 (1984) 189 [INSPIRE].
C. Englert, G.F. Giudice, A. Greljo and M. Mccullough, The \( \hat{H} \)-Parameter: An Oblique Higgs View, JHEP 09 (2019) 041 [arXiv:1903.07725] [INSPIRE].
B. Bellazzini, F. Riva, J. Serra and F. Sgarlata, Massive Higher Spins: Effective Theory and Consistency, JHEP 10 (2019) 189 [arXiv:1903.08664] [INSPIRE].
CMS collaboration, Combined Higgs boson production and decay measurements with up to 137 fb−1 of proton-proton collision data at \( \sqrt{s} \) = 13 TeV, CMS-PAS-HIG-19-005 [INSPIRE].
ATLAS collaboration, Combined measurements of Higgs boson production and decay using up to 139 fb−1 of proton-proton collision data at \( \sqrt{s} \) = 13 TeV collected with the ATLAS experiment, ATLAS-CONF-2021-053 [INSPIRE].
ATLAS collaboration, Combination of searches for non-resonant and resonant Higgs boson pair production in the b\( \overline{b} \)γγ, b\( \overline{b} \)τ +τ − and b\( \overline{b} \)b\( \overline{b} \) decay channels using pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2021-052 [INSPIRE].
J. de Blas et al., Higgs Boson Studies at Future Particle Colliders, JHEP 01 (2020) 139 [arXiv:1905.03764] [INSPIRE].
M. McCullough, An Indirect Model-Dependent Probe of the Higgs Self-Coupling, Phys. Rev. D 90 (2014) 015001 [Erratum ibid. 92 (2015) 039903] [arXiv:1312.3322] [INSPIRE].
S. Di Vita et al., A global view on the Higgs self-coupling at lepton colliders, JHEP 02 (2018) 178 [arXiv:1711.03978] [INSPIRE].
T. Han, D. Liu, I. Low and X. Wang, Electroweak couplings of the Higgs boson at a multi-TeV muon collider, Phys. Rev. D 103 (2021) 013002 [arXiv:2008.12204] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence, JHEP 10 (2013) 087 [arXiv:1308.2627] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
Z. Bern, J. Parra-Martinez and E. Sawyer, Nonrenormalization and Operator Mixing via On-Shell Methods, Phys. Rev. Lett. 124 (2020) 051601 [arXiv:1910.05831] [INSPIRE].
M. Gorbahn and U. Haisch, Indirect probes of the trilinear Higgs coupling: gg → h and h → γγ, JHEP 10 (2016) 094 [arXiv:1607.03773] [INSPIRE].
G. Degrassi, P.P. Giardino, F. Maltoni and D. Pagani, Probing the Higgs self coupling via single Higgs production at the LHC, JHEP 12 (2016) 080 [arXiv:1607.04251] [INSPIRE].
W. Bizon, M. Gorbahn, U. Haisch and G. Zanderighi, Constraints on the trilinear Higgs coupling from vector boson fusion and associated Higgs production at the LHC, JHEP 07 (2017) 083 [arXiv:1610.05771] [INSPIRE].
G. Degrassi, M. Fedele and P.P. Giardino, Constraints on the trilinear Higgs self coupling from precision observables, JHEP 04 (2017) 155 [arXiv:1702.01737] [INSPIRE].
G.D. Kribs, A. Maier, H. Rzehak, M. Spannowsky and P. Waite, Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction, Phys. Rev. D 95 (2017) 093004 [arXiv:1702.07678] [INSPIRE].
F. Maltoni, D. Pagani, A. Shivaji and X. Zhao, Trilinear Higgs coupling determination via single-Higgs differential measurements at the LHC, Eur. Phys. J. C 77 (2017) 887 [arXiv:1709.08649] [INSPIRE].
F. Maltoni, D. Pagani and X. Zhao, Constraining the Higgs self-couplings at e+e− colliders, JHEP 07 (2018) 087 [arXiv:1802.07616] [INSPIRE].
M. Gorbahn and U. Haisch, Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling, JHEP 04 (2019) 062 [arXiv:1902.05480] [INSPIRE].
G. Degrassi and M. Vitti, The effect of an anomalous Higgs trilinear self-coupling on the h → γ Z decay, Eur. Phys. J. C 80 (2020) 307 [arXiv:1912.06429] [INSPIRE].
G. Degrassi, B. Di Micco, P.P. Giardino and E. Rossi, Higgs boson self-coupling constraints from single Higgs, double Higgs and Electroweak measurements, Phys. Lett. B 817 (2021) 136307 [arXiv:2102.07651] [INSPIRE].
U. Haisch and G. Koole, Off-shell Higgs production at the LHC as a probe of the trilinear Higgs coupling, JHEP 02 (2022) 030 [arXiv:2111.12589] [INSPIRE].
B. Henning, X. Lu and H. Murayama, How to use the Standard Model effective field theory, JHEP 01 (2016) 023 [arXiv:1412.1837] [INSPIRE].
Y. Jiang and M. Trott, On the non-minimal character of the SMEFT, Phys. Lett. B 770 (2017) 108 [arXiv:1612.02040] [INSPIRE].
S. Dawson and C.W. Murphy, Standard Model EFT and Extended Scalar Sectors, Phys. Rev. D 96 (2017) 015041 [arXiv:1704.07851] [INSPIRE].
T. Corbett, A. Joglekar, H.-L. Li and J.-H. Yu, Exploring Extended Scalar Sectors with Di-Higgs Signals: A Higgs EFT Perspective, JHEP 05 (2018) 061 [arXiv:1705.02551] [INSPIRE].
C.W. Murphy, Dimension-8 operators in the Standard Model Eective Field Theory, JHEP 10 (2020) 174 [arXiv:2005.00059] [INSPIRE].
Anisha et al., Effective limits on single scalar extensions in the light of recent LHC data, arXiv:2111.05876 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].
M. Accettulli Huber and S. De Angelis, Standard Model EFTs via on-shell methods, JHEP 11 (2021) 221 [arXiv:2108.03669] [INSPIRE].
S. Das Bakshi, M. Chala, A. Díaz-Carmona and G. Guedes, Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II, Eur. Phys. J. Plus 137 (2022) 973 [arXiv:2205.03301] [INSPIRE].
M. Chala, A. Díaz-Carmona and G. Guedes, A Green’s basis for the bosonic SMEFT to dimension 8, JHEP 05 (2022) 138 [arXiv:2112.12724] [INSPIRE].
M. Chala, G. Guedes, M. Ramos and J. Santiago, Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I, SciPost Phys. 11 (2021) 065 [arXiv:2106.05291] [INSPIRE].
ATLAS collaboration, Search for doubly and singly charged Higgs bosons decaying into vector bosons in multi-lepton final states with the ATLAS detector using proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 06 (2021) 146 [arXiv:2101.11961] [INSPIRE].
P.S.B. Dev, R.N. Mohapatra and Y. Zhang, Probing the Higgs Sector of the Minimal Left-Right Symmetric Model at Future Hadron Colliders, JHEP 05 (2016) 174 [arXiv:1602.05947] [INSPIRE].
CMS collaboration, Search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector boson pairs in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 81 (2021) 723 [arXiv:2104.04762] [INSPIRE].
ATLAS collaboration, Interpretation of heavy Higgs boson searches in the ATLAS experiment in the Georgi-Machacek model, ATL-PHYS-PUB-2022-008 [INSPIRE].
ATLAS collaboration, Search for Resonant WZ → ℓνℓ′ℓ′ Production in Proton-Proton Collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS Detector, ATLAS-CONF-2022-005 [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, Naturalness in the Dark at the LHC, JHEP 07 (2015) 105 [arXiv:1501.05310] [INSPIRE].
R. Barbieri, D. Greco, R. Rattazzi and A. Wulzer, The Composite Twin Higgs scenario, JHEP 08 (2015) 161 [arXiv:1501.07803] [INSPIRE].
M. Low, A. Tesi and L.-T. Wang, Twin Higgs mechanism and a composite Higgs boson, Phys. Rev. D 91 (2015) 095012 [arXiv:1501.07890] [INSPIRE].
R. Contino et al., Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies, arXiv:1606.09408 [INSPIRE].
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Durieux, G., McCullough, M. & Salvioni, E. Charting the Higgs self-coupling boundaries. J. High Energ. Phys. 2022, 148 (2022). https://doi.org/10.1007/JHEP12(2022)148
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DOI: https://doi.org/10.1007/JHEP12(2022)148