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Abstract
Spontaneous Symmetry Breaking (SSB) in λΦ4 theories is usually described as a 2nd-order phase transition. However, most recent lattice calculations indicate instead a weakly 1st-order phase transition as in the one-loop and Gaussian approximations to the effective potential. This modest change has non-trivial implications. In fact, in these schemes, the effective potential at the minima has two distinct mass scales: (i) a first mass mh associated with its quadratic curvature and (ii) a second mass Mh associated with the zero-point energy which determines its depth. The two masses describe different momentum regions in the scalar propagator and turn out to be related by Mh2∼mh2ln(Λs/Mh), where Λs is the ultraviolet cutoff of the scalar sector. Our lattice simulations of the propagator are consistent with this two-mass picture and, in the Standard Model, point to a value Mh∼700 GeV. However, despite its rather large mass, this heavier excitation would interact with longitudinal W’s and Z’s with the same typical coupling of the lower-mass state and would therefore represent a rather narrow resonance. Two main novel implications are emphasized in this paper: (1) since vacuum stability depends on the much larger Mh, and not on mh, SSB could originate within the pure scalar sector regardless of the other parameters of the theory (e.g., the vector-boson and top-quark mass) (2) if the smaller mass were fixed at the value mh=125 GeV measured at LHC, the hypothetical heavier state Mh would then naturally fit with the peak in the 4-lepton final state observed by the ATLAS Collaboration at 700 GeV.
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Kim M, Lee HS, Park M, Zhang M. Examining the origin of dark matter mass at colliders. Int J Clin Exp Med 2018. [DOI: 10.1103/physrevd.98.055027] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Liu JY, Si ZG, Yue CX. Littlest Higgs model withTparity and top quark pair production at LHC. Int J Clin Exp Med 2010. [DOI: 10.1103/physrevd.81.015011] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Belyaev AS, Chivukula RS, Christensen ND, He HJ, Kurachi M, Simmons EH, Tanabashi M. WLWLscattering in Higgsless models: Identifying better effective theories. Int J Clin Exp Med 2009. [DOI: 10.1103/physrevd.80.055022] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Cao QH, Chen CR, Larios F, Yuan CP. Anomalousgtt¯couplings in the littlest Higgs model with T-parity. Int J Clin Exp Med 2009. [DOI: 10.1103/physrevd.79.015004] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Chivukula RS, He HJ, Kurachi M, Simmons EH, Tanabashi M. General sum rules forWWscattering in Higgsless models: Equivalence theorem and deconstruction identities. Int J Clin Exp Med 2008. [DOI: 10.1103/physrevd.78.095003] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Distler J, Grinstein B, Porto RA, Rothstein IZ. Falsifying models of new physics via WW scattering. PHYSICAL REVIEW LETTERS 2007; 98:041601. [PMID: 17358753 DOI: 10.1103/physrevlett.98.041601] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/02/2006] [Indexed: 05/14/2023]
Abstract
We show that the coefficients of operators in the electroweak chiral Lagrangian can be bounded if the underlying theory obeys the usual assumptions of Lorentz invariance, analyticity, unitarity, and crossing to arbitrarily short distances. Violations of these bounds can be explained by either the existence of new physics below the naive cutoff of the effective theory, or by the breakdown of one of these assumptions in the short distance theory. As a corollary, if no light resonances are found, then a measured violation of the bound would falsify generic models of string theory.
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Affiliation(s)
- Jacques Distler
- University of Texas, Department of Physics, Austin, Texas 78712, USA
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Han T, Kuang YP, Zhang B. Anomalous gauge couplings of the Higgs boson at high energy photon colliders. Int J Clin Exp Med 2006. [DOI: 10.1103/physrevd.73.055010] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Godfrey S, Zhu SH. Study ofVLVL→tt¯at the International Linear Collider includingO(αs)QCD corrections. Int J Clin Exp Med 2005. [DOI: 10.1103/physrevd.72.074011] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Asakawa E, Brein O, Kanemura S. Enhancement ofW±H∓production at hadron colliders in the two Higgs doublet model. Int J Clin Exp Med 2005. [DOI: 10.1103/physrevd.72.055017] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Mück A, Nilse L, Pilaftsis A, Rückl R. Quantization and high energy unitarity of 5D orbifold theories with brane kinetic terms. Int J Clin Exp Med 2005. [DOI: 10.1103/physrevd.71.066004] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Denner A, Dittmaier S. Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:4499-4514. [PMID: 10021132 DOI: 10.1103/physrevd.54.4499] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Frink A, Kniehl BA, Kreimer D, Riesselmann K. Heavy Higgs-boson lifetime at two loops. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:4548-4560. [PMID: 10021136 DOI: 10.1103/physrevd.54.4548] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Torma T. Equivalence theorem and infrared divergences. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 54:2168-2174. [PMID: 10020895 DOI: 10.1103/physrevd.54.2168] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Riesselmann K. Large uncertainties in the cross section of elastic WL+WL- scattering. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 53:6226-6240. [PMID: 10019912 DOI: 10.1103/physrevd.53.6226] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Gupta SN, Johnson JM, Ladinsky GA, Repko WW. Gauge-boson scattering signals at the CERN LHC. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 53:4897-4901. [PMID: 10020485 DOI: 10.1103/physrevd.53.4897] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Espriu D, Matias J. Renormalization and the equivalence theorem: On-shell scheme. Int J Clin Exp Med 1995; 52:6530-6552. [PMID: 10019195 DOI: 10.1103/physrevd.52.6530] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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He HJ, Kuang YP, Yuan C. Equivalence theorem and probing the electroweak symmetry-breaking sector. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1995; 51:6463-6473. [PMID: 10018409 DOI: 10.1103/physrevd.51.6463] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Durand L, Kniehl BA, Riesselmann K. Two-loop O(GF2MH4) corrections to the fermionic decay rates of the Higgs boson. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1995; 51:5007-5015. [PMID: 10018976 DOI: 10.1103/physrevd.51.5007] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Koulovassilopoulos V, Chivukula RS. Phenomenology of a nonstandard Higgs boson in WLWL scattering. Int J Clin Exp Med 1994; 50:3218-3234. [PMID: 10017956 DOI: 10.1103/physrevd.50.3218] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Dutta B, Nandi S. Testing the Goldstone boson equivalence theorem in hadron colliders. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:5798-5804. [PMID: 10016906 DOI: 10.1103/physrevd.49.5798] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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He HJ, Kuang YP, Li X. Further investigation on the precise formulation of the equivalence theorem. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:4842-4872. [PMID: 10017491 DOI: 10.1103/physrevd.49.4842] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Durand L, Kniehl BA, Riesselmann K. Onset of strong interactions in the Higgs sector of the standard model: H-->ff-bar at two loops. PHYSICAL REVIEW LETTERS 1994; 72:2534-2537. [PMID: 10055908 DOI: 10.1103/physrevlett.72.2534] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bagger J, Barger V, Cheung K, Gunion J, Han T, Ladinsky GA, Rosenfeld R, Yuan C. Strongly interacting WW system: Gold-plated modes. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:1246-1264. [PMID: 10017096 DOI: 10.1103/physrevd.49.1246] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Gupta SN, Johnson JM, Repko WW. W, Z, and Higgs-boson scattering at SSC energies. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 48:2083-2096. [PMID: 10016445 DOI: 10.1103/physrevd.48.2083] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Maher PN, Durand L, Riesselmann K. Two-loop renormalization constants and high-energy 2-->2 scattering amplitudes in the Higgs sector of the standard model. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 48:1061-1083. [PMID: 10016341 DOI: 10.1103/physrevd.48.1061] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Naculich SG, Yuan C. Inelastic channels in WW scattering. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 48:1097-1103. [PMID: 10016343 DOI: 10.1103/physrevd.48.1097] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Durand L, Maher PN, Riesselmann K. Two-loop unitarity constraints on the Higgs-boson coupling. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1993; 48:1084-1096. [PMID: 10016342 DOI: 10.1103/physrevd.48.1084] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Einhorn MB, Wudka J. Screening of heavy scalars beyond the standard model. Int J Clin Exp Med 1993; 47:5029-5037. [PMID: 10015513 DOI: 10.1103/physrevd.47.5029] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Langacker P, Liu J. Heavy-Higgs-boson decays to W+W-Z in the standard model. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 46:5069-5073. [PMID: 10014886 DOI: 10.1103/physrevd.46.5069] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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He HJ, Kuang YP, Li X. On the precise formulation of the equivalence theorem. PHYSICAL REVIEW LETTERS 1992; 69:2619-2622. [PMID: 10046541 DOI: 10.1103/physrevlett.69.2619] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Durand L, Johnson JM, Lopez JL. Perturbative unitarity and high-energy WL+/-,ZL,H scattering. One-loop corrections and the Higgs-boson coupling. Int J Clin Exp Med 1992; 45:3112-3127. [PMID: 10014712 DOI: 10.1103/physrevd.45.3112] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Yuan C. Top-quark polarization at e-e+ colliders. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 45:782-793. [PMID: 10014436 DOI: 10.1103/physrevd.45.782] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Yuan C, Yuan TC. Leading electroweak radiative corrections to t-->W++b. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 44:3603-3609. [PMID: 10013822 DOI: 10.1103/physrevd.44.3603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Willey RS. Implications of the equivalence theorem for longitudinal-vector-boson interaction in the standard model. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 44:3646-3649. [PMID: 10013828 DOI: 10.1103/physrevd.44.3646] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Durand L, Johnson JM, Maher PN. Implications of unitarity for low-energy WL+/-, ZL scattering. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 44:127-138. [PMID: 10013723 DOI: 10.1103/physrevd.44.127] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Barger V, Cheung K, Han T, Phillips RJ. Strong W+W+ scattering signals at pp supercolliders. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:3052-3077. [PMID: 10013188 DOI: 10.1103/physrevd.42.3052] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Valencia G, Willenbrock S. Goldstone-boson equivalence theorem and the Higgs resonance. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:853-859. [PMID: 10012907 DOI: 10.1103/physrevd.42.853] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Durand L, Johnson JM, Lopez JL. One-loop perturbative unitarity and the Higgs-boson mass: A new approach. PHYSICAL REVIEW LETTERS 1990; 64:1215-1218. [PMID: 10041337 DOI: 10.1103/physrevlett.64.1215] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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