Abstract
We estimate production cross sections for 2-body resonances of the Electroweak Symmetry Breaking sector (in WLWL and ZLZL rescattering) from γγ scattering. We employ unitarized Higgs Effective Field Theory amplitudes previously computed coupling the two photon channel to the EWSBS. We work in the Effective Photon Approximation and examine both e−e+ collisions at energies of order 1–2 TeV (as relevant for future lepton machines) and pp collisions at LHC energies. Dynamically generating a spin-0 resonance around 1.5 TeV (by appropriately choosing the parameters of the effective theory) we find that the differential cross section per unit s, p 2 t is of order 0.01 fbarn/TeV4 at the LHC. Injecting a spin-2 resonance around 2 TeV we find an additional factor 100 suppression for pt up to 200 GeV. The very small cross sections put these γγ processes, though very clean, out of reach of immediate future searches.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of Gauge Invariance from High-Energy Unitarity Bounds on the s Matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. D 11 (1975) 972] [INSPIRE].
C.E. Vayonakis, Born Helicity Amplitudes and Cross-Sections in Nonabelian Gauge Theories, Lett. Nuovo Cim. 17 (1976) 383 [INSPIRE].
B.W. Lee, C. Quigg and H.B. Thacker, Weak Interactions at Very High-Energies: The Role of the Higgs Boson Mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].
M.S. Chanowitz and M.K. Gaillard, The TeV physics of strongly interacting W’s and Z’s, Nucl. Phys. 261 (1985) 379.
M.S. Chanowitz, M. Golden and H. Georgi, Low-Energy Theorems for Strongly Interacting W’s and Z’s, Phys. Rev. D 36 (1987) 1490 [INSPIRE].
A. Dobado and J.R. Peláez, On The Equivalence theorem in the chiral perturbation theory description of the symmetry breaking sector of the standard model, Nucl. Phys. B 425 (1994) 110 [Erratum ibid. B 434 (1995) 475] [hep-ph/9401202] [INSPIRE].
A. Dobado and J.R. Pelaez, The Equivalence theorem for chiral lagrangians, Phys. Lett. B 329 (1994) 469 [Addendum ibid. B 335 (1994) 554] [hep-ph/9404239] [INSPIRE].
K. Piotrzkowski, Study of exclusive two-photon production of W+W- pairs in pp collisions at 7 TeV, and constraints on anomalous quartic couplings in CMS, PoS(Photon 2013) 026.
CMS collaboration, Evidence for exclusive γγ → W + W − production and constraints on anomalous quartic gauge couplings in pp collisions at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 119 [arXiv:1604.04464] [INSPIRE].
ATLAS collaboration, Measurement of exclusive γγ → W + W − production and search for exclusive Higgs boson production in pp collisions at \( \sqrt{s}=8 \) TeV using the ATLAS detector, Phys. Rev. D 94 (2016) 032011 [arXiv:1607.03745] [INSPIRE].
D0 collaboration, V.M. Abazov et al., Search for anomalous quartic WWγγ couplings in dielectron and missing energy final states in \( p\overline{p} \) collisions at \( \sqrt{s}=1.96 \) TeV, Phys. Rev. D 88 (2013) 012005 [arXiv:1305.1258] [INSPIRE].
M.G. Albrow, The CMS-TOTEM Precision Proton Spectrometer: CT-PPS, PoS(DIS2015)064.
P. Hamal, Physics prospects with the ALFA and AFP detectors, PoS(Photon 2013)027.
H. Abramowicz et al., Higgs physics at the CLIC electron-positron linear collider, Eur. Phys. J. C 77 (2017) 475 [arXiv:1608.07538] [INSPIRE].
N. van der Kolk, The International Linear Collider - Physics and Perspectives, PoS(DIS2016)245 [arXiv:1607.00202].
K. Wang, T. Xu and L. Zhang, Collider Phenomenology of e − e − → W − W −, Phys. Rev. D 95 (2017) 075021 [arXiv:1610.02618] [INSPIRE].
S.J. Brodsky, Photon-Photon Collisions: Past and Future, Acta Phys. Polon. B 37 (2006) 619 [INSPIRE].
CMS collaboration, Search for Resonances in the Dijet Mass Spectrum from 7 TeV pp Collisions at CMS, Phys. Lett. B 704 (2011) 123 [arXiv:1107.4771] [INSPIRE].
ATLAS collaboration, Search for heavy vector-like quarks coupling to light quarks in proton-proton collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, Phys. Lett. B 712 (2012) 22 [arXiv:1112.5755] [INSPIRE].
ATLAS collaboration, Search for long-lived, multi-charged particles in pp collisions at \( \sqrt{s}=7 \) TeV using the ATLAS detector, Phys. Lett. B 722 (2013) 305 [arXiv:1301.5272] [INSPIRE].
R. Alonso, E.E. Jenkins and A.V. Manohar, A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space, Phys. Lett. B 754 (2016) 335 [arXiv:1511.00724] [INSPIRE].
D. Espriu, F. Mescia and B. Yencho, Radiative corrections to WL WL scattering in composite Higgs models, Phys. Rev. D 88 (2013) 055002 [arXiv:1307.2400] [INSPIRE].
A. Azatov, R. Contino and J. Galloway, Model-Independent Bounds on a Light Higgs, JHEP 04 (2012) 127 [Erratum ibid. 1304 (2013) 140] [arXiv:1202.3415] [INSPIRE].
I. Brivio et al., Disentangling a dynamical Higgs, JHEP 03 (2014) 024 [arXiv:1311.1823] [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. B 726 (2013) 926] [arXiv:1212.3305] [INSPIRE].
A. Pich, I. Rosell and J.J. Sanz-Cillero, Strongly Coupled Models with a Higgs-like Boson, EPJ Web Conf. 60 (2013) 19009 [arXiv:1307.1958] [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].
C. Degrande et al., Effective Field Theory: A Modern Approach to Anomalous Couplings, Annals Phys. 335 (2013) 21 [arXiv:1205.4231] [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. B 913 (2016) 475] [arXiv:1307.5017] [INSPIRE].
G. Buchalla and O. Catà, Effective Theory of a Dynamically Broken Electroweak Standard Model at NLO, JHEP 07 (2012) 101 [arXiv:1203.6510] [INSPIRE].
R.L. Delgado, A. Dobado and F.J. Llanes-Estrada, Light ‘Higgs’, yet strong interactions, J. Phys. G 41 (2014) 025002 [arXiv:1308.1629] [INSPIRE].
R.L. Delgado, A. Dobado and F.J. Llanes-Estrada, Unitarity, analyticity, dispersion relations and resonances in strongly interacting W L W L , Z L Z L and hh scattering, Phys. Rev. D 91 (2015) 075017 [arXiv:1502.04841] [INSPIRE].
R.L. Delgado, A. Dobado and F.J. Llanes-Estrada, Possible new resonance from W L W L -hh interchannel coupling, Phys. Rev. Lett. 114 (2015) 221803 [arXiv:1408.1193] [INSPIRE].
D. Espriu and B. Yencho, Longitudinal WW scattering in light of the “Higgs boson” discovery, Phys. Rev. D 87 (2013) 055017 [arXiv:1212.4158] [INSPIRE].
T. Corbett, O.J.P. Éboli and M.C. Gonzalez-Garcia, Inverse amplitude method for the perturbative electroweak symmetry breaking sector: The singlet Higgs portal as a study case, Phys. Rev. D 93 (2016) 015005 [arXiv:1509.01585] [INSPIRE].
M. Sekulla, W. Kilian, T. Ohl and J. Reuter, Effective Field Theory and Unitarity in Vector Boson Scattering, PoS(LHCP2016)052 [arXiv:1610.04131].
W. Kilian, T. Ohl, J. Reuter and M. Sekulla, High-Energy Vector Boson Scattering after the Higgs Discovery, Phys. Rev. D 91 (2015) 096007 [arXiv:1408.6207] [INSPIRE].
A. Alboteanu, W. Kilian and J. Reuter, Resonances and Unitarity in Weak Boson Scattering at the LHC, JHEP 11 (2008) 010 [arXiv:0806.4145] [INSPIRE].
R.L. Delgado, A. Dobado and F.J. Llanes-Estrada, Coupling WW, ZZ unitarized amplitudes to γγ in the TeV region, Eur. Phys. J. C 77 (2017) 205 [arXiv:1609.06206] [INSPIRE].
E. Fermi, On the Theory of the impact between atoms and electrically charged particles, Z. Phys. 29 (1924) 315 [INSPIRE].
E.J. Williams, Correlation of certain collision problems with radiation theory, Kong. Dan. Vid. Sel. Mat. Fys. Med. 13N4 (1935) 1 [INSPIRE].
C.F. von Weizsacker, Radiation emitted in collisions of very fast electrons, Z. Phys. 88 (1934) 612 [INSPIRE].
I.Ya. Pomeranchuk and I.M. Shmushkevich, On processes in the interaction of -quanta with unstable particles, Nucl. Phys. 23 (1961) 452.
V.M. Budnev, I.F. Ginzburg, G.V. Meledin and V.G. Serbo, The Two photon particle production mechanism. Physical problems. Applications. Equivalent photon approximation, Phys. Rept. 15 (1975) 181 [INSPIRE].
H. Terazawa, Two photon processes for particle production at high-energies, Rev. Mod. Phys. 45 (1973) 615 [INSPIRE].
R.L. Delgado, A. Dobado, M.J. Herrero and J.J. Sanz-Cillero, One-loop γγ → W + L W − L and γγ → Z L Z L from the Electroweak Chiral Lagrangian with a light Higgs-like scalar, JHEP 07 (2014) 149 [arXiv:1404.2866] [INSPIRE].
R.L. Delgado, A. Dobado and F.J. Llanes-Estrada, One-loop W L W L and Z L Z L scattering from the electroweak Chiral Lagrangian with a light Higgs-like scalar, JHEP 02 (2014) 121 [arXiv:1311.5993] [INSPIRE].
J. Bijnens and F. Cornet, Two Pion Production in Photon-Photon Collisions, Nucl. Phys. B 296 (1988) 557 [INSPIRE].
R.L. Delgado et al., Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis, JHEP 11 (2017) 098 [arXiv:1707.04580] [INSPIRE].
D.H. Lyth, The equivalent photon approximation, J. Phys. Colloq. 35 (1974) 113 [INSPIRE].
G. Buchalla, O. Catà, A. Celis and C. Krause, Fitting Higgs Data with Nonlinear Effective Theory, Eur. Phys. J. C 76 (2016) 233 [arXiv:1511.00988] [INSPIRE].
J. Nystrand, Electromagnetic interactions in nucleus-nucleus and proton-proton collisions, Nucl. Phys. A 752 (2005) 470 [hep-ph/0412096] [INSPIRE].
D. d’Enterria, P. Rebello Teles and D.E. Martins, Measurements of γγ → Higgs and γγ → W + W − in e + e − collisions at the Future Circular Collider, in Proceedings of 17th conference on Elastic and Diffractive Scattering (EDS Blois 2017), Prague Czech Republic (2017) [arXivid1712.07023] [INSPIRE].
LHC experiments Committee, CMS-TOTEM Precision Proton Spectrometer, CERN-LHCC-2014-021, TOTEM-TDR-003, CMS-TDR-13 (2014).
ATLAS collaboration, B. Giacobbe, Results and Perspectives in Forward Physics with ATLAS, Nucl. Part. Phys. Proc. 279-281 (2016) 130 [INSPIRE].
D. d’Enterria and G.G. da Silveira, Observing light-by-light scattering at the Large Hadron Collider, Phys. Rev. Lett. 111 (2013) 080405 [Erratum ibid. 116 (2016) 129901] [arXiv:1305.7142] [INSPIRE].
B.A. Kniehl, Elastic e p scattering and the Weizsacker-Williams approximation, Phys. Lett. B 254 (1991) 267 [INSPIRE].
M. Drees and D. Zeppenfeld, Production of Supersymmetric Particles in Elastic ep Collisions, Phys. Rev. D 39 (1989) 2536 [INSPIRE].
A. Esmaili, S. Khatibi and M. Mohammadi Najafabadi, Constraining the monochromatic gamma-rays from dark matter annihilation by the LHC, Phys. Rev. D 96 (2017) 015027 [arXiv:1611.09320] [INSPIRE].
I.T. Lorenz and U.-G. Meissner, Reduction of the proton radius discrepancy by 3σ, Phys. Lett. B 737 (2014) 57 [arXiv:1406.2962] [INSPIRE].
G.P. Lepage and S.J. Brodsky, Exclusive Processes in Quantum Chromodynamics: The Form-Factors of Baryons at Large Momentum Transfer, Phys. Rev. Lett. 43 (1979) 545 [Erratum ibid. 43 (1979) 1625] [INSPIRE].
S.J. Brodsky and G.R. Farrar, Scaling Laws at Large Transverse Momentum, Phys. Rev. Lett. 31 (1973) 1153 [INSPIRE].
J.J. Kelly, Simple parametrization of nucleon form factors, Phys. Rev. C 70 (2004) 068202 [INSPIRE].
J. Segovia, I.C. Cloet, C.D. Roberts and S.M. Schmidt, Nucleon and Δ elastic and transition form factors, Few Body Syst. 55 (2014) 1185 [arXiv:1408.2919] [INSPIRE].
C. Schmidt, J. Pumplin, D. Stump and C.P. Yuan, CT14QED parton distribution functions from isolated photon production in deep inelastic scattering, Phys. Rev. D 93 (2016) 114015 [arXiv:1509.02905] [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Parton distributions for the LHC Run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Parton distributions with QED corrections, Nucl. Phys. B 877 (2013) 290 [arXiv:1308.0598] [INSPIRE].
A.D. Martin, R.G. Roberts, W.J. Stirling and R.S. Thorne, Parton distributions incorporating QED contributions, Eur. Phys. J. C 39 (2005) 155 [hep-ph/0411040] [INSPIRE].
A. Manohar, P. Nason, G.P. Salam and G. Zanderighi, How bright is the proton? A precise determination of the photon parton distribution function, Phys. Rev. Lett. 117 (2016) 242002 [arXiv:1607.04266] [INSPIRE].
J. Gao, L. Harland-Lang and J. Rojo, The Structure of the Proton in the LHC Precision Era, Phys. Rept. 742 (2018) 1 [arXiv:1709.04922] [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, The photon PDF in events with rapidity gaps, Eur. Phys. J. C 76 (2016) 255 [arXiv:1601.03772] [INSPIRE].
H. Gomes, S. Gryb, T. Koslowski, F. Mercati and L. Smolin, A Shape Dynamical Approach to Holographic Renormalization, Eur. Phys. J. C 75 (2015) 3 [arXiv:1305.6315] [INSPIRE].
A.D. Martin and M.G. Ryskin, The photon PDF of the proton, Eur. Phys. J. C 74 (2014) 3040 [arXiv:1406.2118] [INSPIRE].
M. Gluck, C. Pisano and E. Reya, The Polarized and unpolarized photon content of the nucleon, Phys. Lett. B 540 (2002) 75 [hep-ph/0206126] [INSPIRE].
CMS collaboration, Search for high-mass diphoton resonances in proton–proton collisions at 13 TeV and combination with 8 TeV search, Phys. Lett. B 767 (2017) 147 [arXiv:1609.02507] [INSPIRE].
K. Ghosh, S. Jana and S. Nandi, Neutrino Mass Generation at TeV Scale and New Physics Signatures from Charged Higgs at the LHC for Photon Initiated Processes, JHEP 03 (2018) 180 [arXiv:1705.01121] [INSPIRE].
K.S. Babu and S. Jana, Probing Doubly Charged Higgs Bosons at the LHC through Photon Initiated Processes, Phys. Rev. D 95 (2017) 055020 [arXiv:1612.09224] [INSPIRE].
P. Lebiedowicz and A. Szczurek, Exclusive production of heavy charged Higgs boson pairs in the pp → ppH + H − reaction at the LHC and a future circular collider, Phys. Rev. D 91 (2015) 095008 [arXiv:1502.03323] [INSPIRE].
M. Luszczak, A. Szczurek and C. Royon, W + W − pair production in proton-proton collisions: small missing terms, JHEP 02 (2015) 098 [arXiv:1409.1803] [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector, arXiv:1610.07922 [INSPIRE].
T. Appelquist and C.W. Bernard, Strongly Interacting Higgs Bosons, Phys. Rev. D 22 (1980) 200 [INSPIRE].
E. Yehudai, Probing W gamma couplings using γγ → W + W −, Phys. Rev. D 44 (1991) 3434 [INSPIRE].
A. Denner, S. Dittmaier and R. Schuster, Radiative corrections to γγ → W + W − in the electroweak standard model, Nucl. Phys. B 452 (1995) 80 [hep-ph/9503442] [INSPIRE].
J. de Blas, O. Eberhardt and C. Krause, Current and Future Constraints on Higgs Couplings in the Nonlinear Effective Theory, JHEP 07 (2018) 048 [arXiv:1803.00939] [INSPIRE].
A. Dobado, F.J. Llanes-Estrada and J.J. Sanz-Cillero, Resonant production of Wh and Zh at the LHC, JHEP 03 (2018) 159 [arXiv:1711.10310] [INSPIRE].
R. Delgado López, Study of the Electroweak Symmetry Breaking Sector for the LHC, Springer Theses, Springer, Berlin Germany (2017).
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: 1710.07548
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Delgado, R.L., Dobado, A., Espada, M. et al. Collider production of electroweak resonances from γγ states. J. High Energ. Phys. 2018, 10 (2018). https://doi.org/10.1007/JHEP11(2018)010
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2018)010