2004
DOI: 10.1016/j.physletb.2004.01.050
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Varying alpha and the electroweak model

Abstract: Inspired by recent claims for a varying fine structure constant, alpha, we investigate the effect of "promoting coupling constants to variables" upon various parameters of the standard model. We first consider a toy model: Proca's theory of the massive photon. We then explore the electroweak theory with one and two dilaton fields. We find that a varying alpha unavoidably implies varying W and Z masses. This follows from gauge invariance, and is to be contrasted with Proca' theory. For the two dilaton theory th… Show more

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Cited by 37 publications
(36 citation statements)
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“…In order to evaluate the constraints introduced by a programme of unification, it is important to extend these simple models to include electroweak and grand unification. Kimberly and Magueijo [39] have proposed an extensions to the Glashow-Salam-Weinberg (GSW) electroweak theory in which the weak couplings can also vary in space and time and which reduces to the standard GSW theory in the limit of no variation.…”
Section: The Simplest Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…In order to evaluate the constraints introduced by a programme of unification, it is important to extend these simple models to include electroweak and grand unification. Kimberly and Magueijo [39] have proposed an extensions to the Glashow-Salam-Weinberg (GSW) electroweak theory in which the weak couplings can also vary in space and time and which reduces to the standard GSW theory in the limit of no variation.…”
Section: The Simplest Modelmentioning
confidence: 99%
“…[31,34,35,36,37,38]. A further step has recently been taken by Kimberly and Magueijo [39] who have extended the BSBM theory to create a generalisation of the Glashow-Salam-Weinberg theory to allow variation of the electromagnetic and weak couplings. This allows the consequences of electroweak unification to be investigated self consistently for the first time.…”
Section: Introductionmentioning
confidence: 99%
“…This approach was first superseded in the case of varying G by the creation of scalar-tensor theories of gravity [6], culminating in the standard form of Brans and Dicke [7] in which G varies through a dynamical scalar field which conserves energy and momentum and contributes to the curvature of spacetime by a means of a set of generalised gravitational field equations. More recently, such self-consistent descriptions of the spacetime variation of other constants, like α [8,9], the electroweak couplings [10], and the electron-proton mass ratio, µ, [11] have been formulated although most observational constraints in the literature are imposed by simply making constants into variables in formulae derived under the assumption that are constant.…”
Section: Introductionmentioning
confidence: 99%
“…(2)). Constraints on the dilatonic coupling in extensions of the standard electroweak model [65,66] have recently been imposed by the LHC [67][68][69].…”
Section: Conclusion-discussionmentioning
confidence: 99%