Abstract
New physics beyond the standard model (SM) can be model-independently formulated via dimension-6 effective operators, whose coefficients (cutoffs) characterize the scales of new physics. We study the probe of new physics scales from the electroweak precision observables (EWPO) and the Higgs observables (HO) at the future e + e − Higgs factory (such as CEPC). To optimize constraints of new physics from all available observables, we establish a scheme-independent approach. With this formulation, we treat the SM electroweak parameters and the coefficients of dimension-6 operators on equal footing, which can be fitted simultaneously by the same χ 2 function. As deviations from the SM are generally small, we can expand the new physics parameters up to linear order and perform an analytical χ 2 fit to derive the potential reach of the new physics scales. We find that the HO from both Higgs produnction and decay rates can probe the new physics scales up to 10 TeV (and to 44 TeV for the case of gluon-involved operator \( {\mathcal{O}}_g \)), and the new physics scales of Yukawa-type operators can be probed by the precision Higgs coupling measurements up to (13 − 25) TeV. Further including the EWPO can push the limit up to 35 TeV. From this prospect, we demonstrate that the EWPO measured in the early phase of a Higgs factory can be as important as the Higgs observables. These indirect probes of new physics scales at the Higgs factory can mainly cover the energy range to be directly explored by the next generation hadron colliders of pp (50 −100 TeV), such as the SPPC and FCC-hh.
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
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
F. Englert and R. Brout, Broken symmetry and the mass of gauge vector mesons, Phys. Rev. Lett. 13 (1964) 321 [INSPIRE].
P.W. Higgs, Broken symmetries, massless particles and gauge fields, Phys. Lett. 12 (1964) 132 [INSPIRE].
P.W. Higgs, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett. 13 (1964) 508 [INSPIRE].
G.S. Guralnik, C.R. Hagen and T.W.B. Kibble, Global conservation laws and massless particles, Phys. Rev. Lett. 13 (1964) 585 [INSPIRE].
T.W.B. Kibble, Symmetry breaking in non-Abelian gauge theories, Phys. Rev. 155 (1967) 1554 [INSPIRE].
J. Ellis, M.K. Gaillard and D.V. Nanopoulos, An updated historical profile of the Higgs boson, arXiv:1504.07217 [INSPIRE].
J. Ellis, Summary and outlook: 2015 lepton-photon symposium, in the proceedings of International Symposium on Lepton Photon Interactions at High Energies, Ljubljana Slovenia August 17-22 2015 [arXiv:1509.07336] [INSPIRE].
N. Arkani-Hamed, Vision for the future, presented at the Workshop on Physics at the CEPC, http://indico.ihep.ac.cn/event/4937, IHEP, Beijing China August 10-12 2015.
M.E. Peskin, Estimation of LHC and ILC capabilities for precision Higgs boson coupling measurements, in the proceedings of Snowmass, U.S.A. (2013) [arXiv:1312.4974] [INSPIRE].
D.A. Dicus and H.-J. He, Scales of mass generation for quarks, leptons and Majorana neutrinos, Phys. Rev. Lett. 94 (2005) 221802 [hep-ph/0502178] [INSPIRE].
D.A. Dicus and H.-J. He, Scales of fermion mass generation and electroweak symmetry breaking, Phys. Rev. D 71 (2005) 093009 [hep-ph/0409131] [INSPIRE].
K.G. Wilson, The renormalization group and strong interactions, Phys. Rev. D 3 (1971) 1818 [INSPIRE].
L. Susskind, Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory, Phys. Rev. D 20 (1979) 2619 [INSPIRE].
F.L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton, Phys. Lett. B 659 (2008) 703 [arXiv:0710.3755] [INSPIRE].
F. Bezrukov, The Higgs field as an inflaton, Class. Quant. Grav. 30 (2013) 214001 [arXiv:1307.0708] [INSPIRE].
Snowmass 2013 Cosmic Frontier Working Groups 1-4 collaboration, D. Bauer et al., Dark matter in the coming decade: complementary paths to discovery and beyond, Phys. Dark Univ. 7-8 (2015) 16 [arXiv:1305.1605] [INSPIRE].
S. Arrenberg et al., Working group report: dark matter complementarity, arXiv:1310.8621 [INSPIRE].
J. Ren and H.-J. He, Probing gravitational dark matter, JCAP 03 (2015) 052 [arXiv:1410.6436] [INSPIRE].
Y. Bai, V. Barger, L.L. Everett and G. Shaughnessy, Two-Higgs-doublet-portal dark-matter model: LHC data and Fermi-LAT 135 GeV line, Phys. Rev. D 88 (2013) 015008 [arXiv:1212.5604] [INSPIRE].
J.R. Espinosa, G.F. Giudice and A. Riotto, Cosmological implications of the Higgs mass measurement, JCAP 05 (2008) 002 [arXiv:0710.2484] [INSPIRE].
J. Ellis, J.R. Espinosa, G.F. Giudice, A. Hoecker and A. Riotto, The probable fate of the Standard Model, Phys. Lett. B 679 (2009) 369 [arXiv:0906.0954] [INSPIRE].
A. Kobakhidze and A. Spencer-Smith, Electroweak vacuum (in)stability in an inflationary universe, Phys. Lett. B 722 (2013) 130 [arXiv:1301.2846] [INSPIRE].
K. Enqvist, T. Meriniemi and S. Nurmi, Generation of the Higgs condensate and its decay after inflation, JCAP 10 (2013) 057 [arXiv:1306.4511] [INSPIRE].
M. Fairbairn and R. Hogan, Electroweak vacuum stability in light of BICEP2, Phys. Rev. Lett. 112 (2014) 201801 [arXiv:1403.6786] [INSPIRE].
K. Enqvist, T. Meriniemi and S. Nurmi, Higgs dynamics during inflation, JCAP 07 (2014) 025 [arXiv:1404.3699] [INSPIRE].
M. Herranen, T. Markkanen, S. Nurmi and A. Rajantie, Spacetime curvature and the Higgs stability during inflation, Phys. Rev. Lett. 113 (2014) 211102 [arXiv:1407.3141] [INSPIRE].
K. Kamada, Inflationary cosmology and the Standard Model Higgs with a small Hubble induced mass, Phys. Lett. B 742 (2015) 126 [arXiv:1409.5078] [INSPIRE].
A. Spencer-Smith, Higgs vacuum stability in a mass-dependent renormalisation scheme, arXiv:1405.1975 [INSPIRE].
A. Shkerin and S. Sibiryakov, On stability of electroweak vacuum during inflation, Phys. Lett. B 746 (2015) 257 [arXiv:1503.02586] [INSPIRE].
A. Hook, J. Kearney, B. Shakya and K.M. Zurek, Probable or improbable universe? Correlating electroweak vacuum instability with the scale of inflation, JHEP 01 (2015) 061 [arXiv:1404.5953] [INSPIRE].
J. Kearney, H. Yoo and K.M. Zurek, Is a Higgs vacuum instability fatal for high-scale inflation?, Phys. Rev. D 91 (2015) 123537 [arXiv:1503.05193] [INSPIRE].
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
J.R. Ellis and D. Ross, A light Higgs boson would invite supersymmetry, Phys. Lett. B 506 (2001) 331 [hep-ph/0012067] [INSPIRE].
H.-J. He and Z.-Z. Xianyu, Extending Higgs inflation with TeV scale new physics, JCAP 10 (2014) 019 [arXiv:1405.7331] [INSPIRE].
Z.-Z. Xianyu and H.-J. He, Asymptotically safe Higgs inflation, JCAP 10 (2014) 083 [arXiv:1407.6993] [INSPIRE].
J. Ellis, H.-J. He and Z.-Z. Xianyu, New Higgs inflation in a no-scale supersymmetric SU (5) GUT, Phys. Rev. D 91 (2015) 021302 [arXiv:1411.5537] [INSPIRE].
J. Ellis, H.-J. He and Z.-Z. Xianyu, Higgs inflation, reheating and gravitino production in no-scale supersymmetric GUTs, JCAP 08 (2016) 068 [arXiv:1606.02202] [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].
CEPC collaboration, CEPC-SPPC preliminary conceptual design report, http://cepc.ihep.ac.cn.
M. Ruan, Higgs measurement at e + e − circular colliders, presentation at 37th International Conference on High Energy Physics (ICHEP-2014), Valencia Spain July 2-9 2014 [Nucl. Part. Phys. Proc. 273-275 (2016) 857] [arXiv:1411.5606] [INSPIRE].
M. Ruan, Higgs physics at CEPC, talk at KITPC, Beijing China July 28 2016.
FCC collaboration webpage, http://cern.ch/FCC-ee.
TLEP Design Study Working Group collaboration, M. Bicer et al., First look at the physics case of TLEP, JHEP 01 (2014) 164 [arXiv:1308.6176] [INSPIRE].
D. d’Enterria, Physics at the FCC-ee, arXiv:1602.05043 [INSPIRE].
H. Baer et al., The International Linear Collider technical design report — volume 2: physics, arXiv:1306.6352 [INSPIRE].
A. Arbey et al., Physics at the e + e − linear collider, Eur. Phys. J. C 75 (2015) 371 [arXiv:1504.01726] [INSPIRE].
K. Fujii et al., Physics case for the International Linear Collider, arXiv:1506.05992 [INSPIRE].
ILD Design Study Group collaboration, H. Li et al., HZ recoil mass and cross section analysis in ILD, arXiv:1202.1439 [INSPIRE].
M. McCullough, An indirect model-dependent probe of the Higgs self-coupling, Phys. Rev. D 90 (2014) 015001 [arXiv:1312.3322] [INSPIRE].
W. Yao, Studies of measuring Higgs self-coupling with \( HH\to b\overline{b}\gamma \gamma \) at the future hadron colliders, in the Proceedings of Snowmass Community Summer Study (CSS 2013), Minneapolis U.S.A. July 29 - August 6 2013 [arXiv:1308.6302] [INSPIRE].
H.-J. He, J. Ren and W. Yao, Probing new physics of cubic Higgs boson interaction via Higgs pair production at hadron colliders, Phys. Rev. D 93 (2016) 015003 [arXiv:1506.03302] [INSPIRE].
A.J. Barr, M.J. Dolan, C. Englert, D.E. Ferreira de Lima and M. Spannowsky, Higgs self-coupling measurements at a 100 TeV hadron collider, JHEP 02 (2015) 016 [arXiv:1412.7154] [INSPIRE].
C.-R. Chen and I. Low, Double take on new physics in double Higgs boson production, Phys. Rev. D 90 (2014) 013018 [arXiv:1405.7040] [INSPIRE].
D. Curtin, P. Meade and C.-T. Yu, Testing electroweak baryogenesis with future colliders, JHEP 11 (2014) 127 [arXiv:1409.0005] [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].
Q. Li, Z. Li, Q.-S. Yan and X. Zhao, Probe Higgs boson pair production via the 3ℓ2j + mode, Phys. Rev. D 92 (2015) 014015 [arXiv:1503.07611] [INSPIRE].
A.V. Kotwal, S. Chekanov and M. Low, Double Higgs boson production in the 4τ channel from resonances in longitudinal vector boson scattering at a 100 TeV collider, Phys. Rev. D 91 (2015) 114018 [arXiv:1504.08042] [INSPIRE].
A. Carvalho, M. Dall’Osso, T. Dorigo, F. Goertz, C.A. Gottardo and M. Tosi, Higgs pair production: choosing benchmarks with cluster analysis, JHEP 04 (2016) 126 [arXiv:1507.02245] [INSPIRE].
B. Batell, M. McCullough, D. Stolarski and C.B. Verhaaren, Putting a stop to di-Higgs modifications, JHEP 09 (2015) 216 [arXiv:1508.01208] [INSPIRE].
A. Papaefstathiou and K. Sakurai, Triple Higgs boson production at a 100 TeV proton-proton collider, JHEP 02 (2016) 006 [arXiv:1508.06524] [INSPIRE].
D. Curtin and P. Saraswat, Towards a no-lose theorem for naturalness, Phys. Rev. D 93 (2016) 055044 [arXiv:1509.04284] [INSPIRE].
C.-Y. Chen, Q.-S. Yan, X. Zhao, Y.-M. Zhong and Z. Zhao, Probing triple-Higgs productions via 4b2γ decay channel at a 100 TeV hadron collider, Phys. Rev. D 93 (2016) 013007 [arXiv:1510.04013] [INSPIRE].
Q.-H. Cao, Y. Liu and B. Yan, Measuring trilinear Higgs coupling in W HH and ZHH productions at the HL-LHC, arXiv:1511.03311 [INSPIRE].
R. Grober, M. Muhlleitner and M. Spira, Signs of composite Higgs pair production at next-to-leading order, JHEP 06 (2016) 080 [arXiv:1602.05851] [INSPIRE].
K. Hagiwara and M.L. Stong, Probing the scalar sector in \( {e}^{+}{e}^{-}\to f\overline{f}H \), Z. Phys. C 62 (1994) 99 [hep-ph/9309248] [INSPIRE].
G.J. Gounaris, F.M. Renard and N.D. Vlachos, Tests of anomalous Higgs boson couplings through e − e + → HZ and Hγ, Nucl. Phys. B 459 (1996) 51 [hep-ph/9509316] [INSPIRE].
W. Kilian, M. Krämer and P.M. Zerwas, Anomalous couplings in the Higgsstrahlung process, Phys. Lett. B 381 (1996) 243 [hep-ph/9603409] [INSPIRE].
M.C. Gonzalez-Garcia, Anomalous Higgs couplings, Int. J. Mod. Phys. A 14 (1999) 3121 [hep-ph/9902321] [INSPIRE].
K. Hagiwara, S. Ishihara, J. Kamoshita and B.A. Kniehl, Prospects of measuring general Higgs couplings at e + e − linear colliders, Eur. Phys. J. C 14 (2000) 457 [hep-ph/0002043] [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].
S.S. Biswal, R.M. Godbole, R.K. Singh and D. Choudhury, Signatures of anomalous V V H interactions at a linear collider, Phys. Rev. D 73 (2006) 035001 [Erratum ibid. D 74 (2006) 039904] [hep-ph/0509070] [INSPIRE].
J. Kile and M.J. Ramsey-Musolf, Fermionic effective operators and Higgs production at a linear collider, Phys. Rev. D 76 (2007) 054009 [arXiv:0705.0554] [INSPIRE].
S. Dutta, K. Hagiwara and Y. Matsumoto, Measuring the Higgs-vector boson couplings at linear e + e − collider, Phys. Rev. D 78 (2008) 115016 [arXiv:0808.0477] [INSPIRE].
R. Contino, C. Grojean, D. Pappadopulo, R. Rattazzi and A. Thamm, Strong Higgs interactions at a linear collider, JHEP 02 (2014) 006 [arXiv:1309.7038] [INSPIRE].
G. Amar et al., Exploration of the tensor structure of the Higgs boson coupling to weak bosons in e + e − collisions, JHEP 02 (2015) 128 [arXiv:1405.3957] [INSPIRE].
N. Craig, M. Farina, M. McCullough and M. Perelstein, Precision Higgsstrahlung as a probe of new physics, JHEP 03 (2015) 146 [arXiv:1411.0676] [INSPIRE].
J. Ellis, V. Sanz and T. You, The effective Standard Model after LHC Run I, JHEP 03 (2015) 157 [arXiv:1410.7703] [INSPIRE].
A. Falkowski and F. Riva, Model-independent precision constraints on dimension-6 operators, JHEP 02 (2015) 039 [arXiv:1411.0669] [INSPIRE].
J. Ellis and T. You, Sensitivities of prospective future e + e − colliders to decoupled new physics, JHEP 03 (2016) 089 [arXiv:1510.04561] [INSPIRE].
W. Hollik and H.J. Timme, Renormalization scheme dependence of electroweak radiative corrections, Z. Phys. C 33 (1986) 125 [INSPIRE].
S. Weinberg, Effective gauge theories, Phys. Lett. B 91 (1980) 51 [INSPIRE].
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1, Phys. Rev. 177 (1969) 2239 [INSPIRE].
C.G. Callan Jr., S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2, Phys. Rev. 177 (1969) 2247 [INSPIRE].
C.J.C. Burges and H.J. Schnitzer, Virtual effects of excited quarks as probes of a possible new hadronic mass scale, Nucl. Phys. B 228 (1983) 464 [INSPIRE].
C.N. Leung, S.T. Love and S. Rao, Low-energy manifestations of a new interaction scale: operator analysis, Z. Phys. C 31 (1986) 433 [INSPIRE].
W. Buchmüller and D. Wyler, Effective Lagrangian analysis of new interactions and flavor conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
J. Elias-Miro, J.R. Espinosa, E. Masso and A. Pomarol, Higgs windows to new physics through D = 6 operators: constraints and one-loop anomalous dimensions, JHEP 11 (2013) 066 [arXiv:1308.1879] [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].
S. Antusch, E. Cazzato and O. Fischer, Higgs production from sterile neutrinos at future lepton colliders, JHEP 04 (2016) 189 [arXiv:1512.06035] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the Standard Model at future lepton colliders, JHEP 05 (2015) 053 [arXiv:1502.05915] [INSPIRE].
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: present bounds and future sensitivities, JHEP 10 (2014) 094 [arXiv:1407.6607] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the Standard Model at the circular electron positron collider, Int. J. Mod. Phys. A 30 (2015) 1544004 [INSPIRE].
Q.-H. Cao, H.-R. Wang and Y. Zhang, Probing HZγ and Hγγ anomalous couplings in the process e + e − → Hγ, Chin. Phys. C 39 (2015) 113102 [arXiv:1505.00654] [INSPIRE].
J. Cao, C. Han, J. Ren, L. Wu, J.M. Yang and Y. Zhang, SUSY effects in Higgs productions at high energy e + e − colliders, arXiv:1410.1018 [INSPIRE].
S.B. Giddings, T. Liu, I. Low and E. Mintun, Unraveling the physics behind modified Higgs couplings: LHC versus a Higgs factory, Phys. Rev. D 88 (2013) 095003 [arXiv:1301.2324] [INSPIRE].
B. Henning, X. Lu and H. Murayama, What do precision Higgs measurements buy us?, arXiv:1404.1058 [INSPIRE].
M. Awramik, M. Czakon, A. Freitas and G. Weiglein, Precise prediction for the W boson mass in the Standard Model, Phys. Rev. D 69 (2004) 053006 [hep-ph/0311148] [INSPIRE].
A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 — a complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
J. Ellis and T. You, Updated global analysis of Higgs couplings, JHEP 06 (2013) 103 [arXiv:1303.3879] [INSPIRE].
C. Englert, R. Kogler, H. Schulz and M. Spannowsky, Higgs coupling measurements at the LHC, Eur. Phys. J. C 76 (2016) 393 [arXiv:1511.05170] [INSPIRE].
X. Mo, G. Li, M.-Q. Ruan and X.-C. Lou, Physics cross sections and event generation of e+e− annihilations at the CEPC, Chin. Phys. C 40 (2016) 033001 [arXiv:1505.01008] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
S.F. Ge, BSMfitter — beyond Standard Model fitter, http://bsmfitter.hepforge.org.
CEPC Detector Working Group collaboration, H. Yang et al., Z and W physics at CEPC, presentation at the Fourth International Workshop on Future High Energy Circular Colliders, http://indico.ihep.ac.cn/event/4338/session/2/material/slides/1?contribId=32, Shanghai China September 12-13 2014.
W. Hollik and G. Duckeck, Electroweak precision tests at LEP, Springer Tracts Mod. Phys. 162 (2000) 1 [INSPIRE].
J. Ellis, V. Sanz and T. You, The effective Standard Model after LHC Run I, JHEP 03 (2015) 157 [arXiv:1410.7703] [INSPIRE].
A. Djouadi, J. Kalinowski and M. Spira, HDECAY: a program for Higgs boson decays in the Standard Model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [INSPIRE].
Z.-Z. Xing, H. Zhang and S. Zhou, Updated values of running quark and lepton masses, Phys. Rev. D 77 (2008) 113016 [arXiv:0712.1419] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
S.-F. Ge, K. Hagiwara, N. Okamura and Y. Takaesu, Determination of mass hierarchy with medium baseline reactor neutrino experiments, JHEP 05 (2013) 131 [arXiv:1210.8141] [INSPIRE].
A. Djouadi, J. Kalinowski and M. Spira, HDECAY: a program for Higgs boson decays in the Standard Model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [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: 1603.03385
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
Ge, SF., He, HJ. & Xiao, RQ. Probing new physics scales from Higgs and electroweak observables at e + e − Higgs factory. J. High Energ. Phys. 2016, 7 (2016). https://doi.org/10.1007/JHEP10(2016)007
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2016)007