Structure of Phenomenological Lagrangians. II

Callan, Curtis G.; Coleman, Sidney; Wess, Julius; Zumino, Bruno

doi:10.1103/physrev.177.2247

Cited by 1,665 publications

(1,281 citation statements)

References 6 publications

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“…For g L = g R we have h = g L = g R independent of u, and we recover the linear SU(2) L+R transformation. This is the usual theory of nonlinear realizations [35][36][37].…”

Section: Jhep03(2012)046mentioning

confidence: 99%

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Exploring T and S parameters in Vector Meson Dominance models of strong electroweak symmetry breaking

Orgogozo

Rychkov

2012

J. High Energ. Phys.

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Abstract:We revisit the electroweak precision tests for Higgsless models of strong EWSB. We use the Vector Meson Dominance approach and express S and T via couplings characterizing vector and axial spin-1 resonances of the strong sector. These couplings are constrained by the elastic unitarity and by requiring a good UV behavior of various formfactors. We pay particular attention to the one-loop contribution of resonances to T (beyond the chiral log), and to how it can improve the fit. We also make contact with the recent studies of Conformal Technicolor. We explain why the second Weinberg sum rule never converges in these models, and formulate a condition necessary for preserving the custodial symmetry in the IR.

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“…For g L = g R we have h = g L = g R independent of u, and we recover the linear SU(2) L+R transformation. This is the usual theory of nonlinear realizations [35][36][37].…”

Section: Jhep03(2012)046mentioning

confidence: 99%

“…To describe the transformation properties of these fields under the full SU(2) L × SU(2) R , one introduces the little matrix u [35][36][37] …”

Section: Jhep03(2012)046mentioning

confidence: 99%

Exploring T and S parameters in Vector Meson Dominance models of strong electroweak symmetry breaking

Orgogozo

Rychkov

2012

J. High Energ. Phys.

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“…Let us first review the basic model set up relying on the CCWZ prescription since the original global symmetry G is nonlinearly realized [12,13]. The global symmetry breaking pattern is SO(5) → SO(4), as SO(4) ≃ SU(2) L × SU(2) R , the custodial symmetry is preserved and only the subgroup SU(2) L × U(1) R is weakly gauged which results in an explicit breaking of the global symmetry at tree level.…”

Section: Composite Higgs Modelmentioning

confidence: 99%

Higgs-Z-photon coupling from effect of composite resonances

Cai

2014

J. High Energ. Phys.

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“…Thus it has been realized already a long time ago [1,2,3] that a regime of low-energy QCD should exist where the dynamics is governed by the Goldstone boson modes. In that regime an effective field theory of QCD, usually called chiral perturbation theory (CHPT), can be set up, which is written in terms of the very Goldstone degrees of freedom, with their couplings to matter fields dictated by chiral dynamics [4,5,6]. Recently doubts have been issued in the literature [7,8,9,10] whether such an effective field theory, in particular when it is utilized in connection with dimensional regularization, is "effective" enough to be applied to extended objects with complicated internal structure like baryons.…”

Section: Introductionmentioning

confidence: 99%

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

2004

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We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional cutoff schemes have with gauge invariance or chiral symmetries. As an example, we discuss the chiral expansion of the nucleon mass. Contrary to other claims in the literature we show that the mass of a nucleon in heavy baryon chiral perturbation theory has a well behaved chiral expansion up to effective Goldstone boson masses of 400 MeV when one utilizes standard dimensional regularization techniques. With the help of the here developed cutoff scheme we can demonstrate a well-behaved chiral expansion for the nucleon mass up to 600 MeV of effective Goldstone Boson masses. We also discuss in detail the prize, in numbers of additional short distance operators involved, that has to be paid for this extended range of applicability of chiral perturbation theory with cutoff regularization, which is usually not paid attention to. We also compare the fourth order result for the chiral expansion of the nucleon mass with lattice results and draw some conclusions about chiral extrapolations based on such type of representation.

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Structure of Phenomenological Lagrangians. II

Cited by 1,665 publications

References 6 publications

Exploring T and S parameters in Vector Meson Dominance models of strong electroweak symmetry breaking

Exploring T and S parameters in Vector Meson Dominance models of strong electroweak symmetry breaking

Higgs-Z-photon coupling from effect of composite resonances

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

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