Electroweak radiative corrections with an effective lagrangian: Four-fermions processes

Kennedy, Dallas C.; Lynn, Bryan W.

doi:10.1016/0550-3213(89)90483-5

Cited by 325 publications

(219 citation statements)

References 15 publications

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“…[17] only in order to define the vertex function Γ. Our effective couplings differ from their definitions.…”

Section: Comparison With Other Approaches and Conclusionmentioning

confidence: 99%

“…To get the explicit expressions for the vertex function, we follow the arguments given in Ref. [17]. In this way, at the same time we get universal and mass dependent couplings, so that in a single stroke we solve another problem related to the electroweak symmetry breaking: the misdiagonalization of the neutral mass matrix.…”

Section: Comparison With Other Approaches and Conclusionmentioning

confidence: 99%

“…This vertex correction is the same for both couplings, because the non abelian character of e 2 is closely related to g 2 (e −2 = g −2 + g −2 ). To obtain its explicit form we follow the argument given by Kennedy and Lynn [17], and that we partially reproduced in the following.…”

Section: Effective Couplingsmentioning

confidence: 99%

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Effective couplings and perturbative unification

Bastero-Gil¹,

Pérez–Mercader²

1995

Nuclear Physics B

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In this paper we study the influence of the threshold effects due to massive degrees of freedom in the evolution with scale of gauge coupling constants. We first describe in detail the (standard) mass dependent renormalization prescription we use. This guides us to introduce and work with effective couplings, which are finite, process independent, and include complete threshold effects. We compute the evolution of the effective couplings in both, the Standard Model and its Minimal Supersymmetric extension, from m Z to the high energy region. We find that the effects from thresholds due to the standard massive gauge bosons are non-negligible, contrary to what is generally assumed when using other, less-accurate, descriptions of the thresholds, as for example in the step-function approximation. Moreover, we find that thresholds are relevant when studying perturbative SUSY unification, changing the conclusions reached when using the step-function approach. We find that threshold effects bring conflict between the known experimental data at m Z , the naturalness upper bound on the masses of SUSY partners and the perturbative unification of couplings.

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“…[17] only in order to define the vertex function Γ. Our effective couplings differ from their definitions.…”

Section: Comparison With Other Approaches and Conclusionmentioning

confidence: 99%

Section: Comparison With Other Approaches and Conclusionmentioning

confidence: 99%

See 1 more Smart Citation

Effective couplings and perturbative unification

Bastero-Gil¹,

Pérez–Mercader²

1995

Nuclear Physics B

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“…Prior to numerical evaluation of these functions, we prefer the above expressions both because of their conciseness and because they explicitly demonstrate the vanishing of Φ and Λ as q 2 → 0. In the limit m F → 0, we verify that both Φ and Λ reduce to the well known expressions for the vertex in the massless limit [8,18,22].…”

Section: New Gauge Bosonsmentioning

confidence: 76%

“…This is a well known situation and is removed by a counterterm of a similar form in the on-shell scheme [18][19][20][21]. The treatment is similar for the * scheme although the subtraction is instead the momentum dependent term B 0 (q 2 ; M 2 V , M 2 V ) [8]. Taking F = t in (14) reproduces the SM top contribution to the Z → bb vertex [6,7].…”

Section: New Gauge Bosonsmentioning

confidence: 99%

The effect of new physics on

Liu¹,

Ng²

1995

Physics Letters B

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Motivated by the ∼ 2σ discrepancy between the experimental value for R b and the theoretical prediction of the Standard Model, we examine the effect of new physics on the Z-b-b vertex. Using general results for both new scalars and gauge bosons, we show that two conditions must be satisfied in order for new physics to give observable deviations in the vertex. In particular, the fermion in the loop must transform chirally under SU (2) × U (1) and it must be massive compared to the exchanged boson. We examine the implications of these results on the 2 Higgs Doublet model and the Left-Right Symmetric model.

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