One-loop effects of extra dimensions on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi><mml:mi>W</mml:mi><mml:mi>γ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi><mml:mi>W</mml:mi><mml:mi>Z</mml:mi></mml:math>vertices

Flores-Tlalpa, A.; Montaño, J.; Novales‐Sánchez, H.; Ramírez–Zavaleta, F.; Toscano, J. J.

doi:10.1103/physrevd.83.016011

Cited by 18 publications

(33 citation statements)

References 140 publications

(85 reference statements)

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“…This means that in this type of model, both types of contributions must be considered. Explicit studies point in this direction, as calculations [26,28] of some electroweak observables show that the one-loop contribution of the KK modes dominates. If the compactification scale R À1 is very much above the available energies, it would be desirable to integrate out each heavy field A ðmÞa to obtain an effective Lagrangian depending only on the light fields A ð0Þa :…”

Section: One-loop Renormalizability Of Light Green's Functionsmentioning

confidence: 97%

Gauge invariance and quantization of Yang-Mills theories in extra dimensions

2010

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The gauge structure of the four-dimensional effective theory arising from a pure SU 5 ðNÞ Yang-Mills theory in five dimensions compactified on the orbifold S 1 =Z 2 is reexamined on the basis of Becchi-RouetStora-Tyutin symmetry. In this context, the two scenarios that can arise are analyzed: if the gauge parameters propagate in the bulk, the excited Kaluza-Klein (KK) modes are gauge fields, but they are matter vector fields if these parameters are confined in the 3-brane. In the former case, it is shown that the four-dimensional theory is gauge invariant only if the compactification is carried out by using curvatures instead of gauge fields as fundamental objects. Then, it is shown that the four-dimensional theory is governed by two types of gauge transformations, one determined by the KK zero modes of the gauge parameters, ð0Þa , and another by the excited KK modes, ðnÞa . The Dirac method and the proper solution of the master equation in the context of the field-antifield formalism are employed to show that the theory is subject to first-class constraints. A gauge-fixing procedure to quantize the KK modes A ðnÞa that is covariant under the first type of gauge transformations, which embody the standard gauge transformations of SU 4 ðNÞ, is introduced through gauge-fixing functions transforming in the adjoint representation of this group. The ghost sector induced by these gauge-fixing functions is derived on the basis of the BecchiRouet-Stora-Tyutin formalism. The effective quantum Lagrangian that links the interactions between light physics (zero modes) and heavy physics (excited KK gauge modes) is presented. Concerning the radiative corrections of the excited KK modes on the light Green's functions, the predictive character of this Lagrangian at the one-loop level is stressed. In the case of the gauge parameters confined to the 3-brane, the known result in the literature is reproduced with some minor variants, although it is emphasized that the exited KK modes are not gauge fields but matter fields that transform under the adjoint representation of SU 4 ðNÞ. The Dirac method is employed to show that this theory is subject to both first-and secondclass constraints, which arise from the zero and excited KK modes, respectively.

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Section: One-loop Renormalizability Of Light Green's Functionsmentioning

confidence: 97%

Gauge invariance and quantization of Yang-Mills theories in extra dimensions

2010

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“…In this respect, the study of radiative corrections to the W W Z vertex has been the focus of attention when the Z boson is off-shell as can be found in Refs. [23,25,30,31]. This type of calculations are in general gauge dependent and require special techniques, such as the pinch technique, to extract the relevant physical information.…”

Section: Introductionmentioning

confidence: 99%

“…Particular interest has been put on the radiative corrections to the W W V (V = γ, Z) vertex, which represents a very sensitive scenario to search for any NP effects and test the gauge sector of the SM. In fact, the one-loop corrections to the on-shell W W γ vertex, which define the static electromagnetic properties of the W gauge boson, was one of the first ever one-loop calculations within the SM [19], followed by a plethora of calculations of the respective contributions of several SM extensions, such as the two-Higgs doublet model (THDM) [20], the minimal supersymmetric standard model (MSSM) [21], left-right symmetric theories [22], extra dimensions [23], the littlest Higgs model [24], 331 models [25,26], effective theories [27][28][29], etc. In contrast with the on-shell W W γ vertex, additional difficulties in the calculation of the on-shell W W Z vertex arise due to the nonzero mass of the Z gauge boson.…”

Section: Introductionmentioning

confidence: 99%

WWV ( V=γ , Z ) vertex in the Georgi-Machacek model

2016

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The CP-even static form factors ∆κ V and ∆QV (V = γ, Z) associated with the W W V vertex are studied in the context of the Georgi-Machacek model (GMM), which predicts nine new scalar bosons accommodated in a singlet, a triplet and a fiveplet. General expressions for the one-loop contributions to ∆κ V and ∆QV arising from neutral, singly and doubly charged scalar bosons are obtained in terms of both parametric integrals and Passarino-Veltman scalar functions, which can be numerically evaluated. It is found that the GMM yields 15 (28) distinct contributions to ∆κ γ and ∆Qγ (∆κ Z and ∆QZ ), though several of them are naturally suppressed. A numerical analysis is done in the region of parameter space still consistent with current experimental data and it is found that the largest contributions to ∆κ V arise from Feynman diagrams with two nondegenerate scalar bosons in the loop, with values of the order of a = g 2 /(96π 2 ) reached when there is a large splitting between the masses of these scalar bosons. As for ∆QV , it reaches values as large as 10 −2 a for the lightest allowed scalar bosons, but it decreases rapidly as one of the masses of the scalar bosons becomes large. Among the new contributions of the GMM to the ∆κ V and ∆QV form factors are those induced by the H ± 5 W ∓ Z vertex, which arises at the tree-level and is a unique prediction of this model.

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“…In addition, each individual KK excitation of the fields becomes a well defined object with respect to the Poincaré group on four dimensions [7]. In recent years, the phenomenological implications of universal extra dimensions in relation to observables at a low-energy scale have been the subject of considerable interest in the context of dark matter [8], neutrino physics [9], Higgs physics [10], flavor physics [11], hadronic and linear colliders [12], and electroweak gauge couplings [13]. Some theoretical aspects of these models have also been considered [14].…”

Section: Introductionmentioning

confidence: 99%

“…[6,13,15], these theories must be consistently quantized since the excited KK states contribute to standard Green's functions (SGF) at the one-loop level, that is, to Green's functions with only zero modes in external legs. A remarkable result reported in these references was the proof that contributions from the extra dimension to the SGF are renormalizable at one-loop level.…”

Section: Introductionmentioning

confidence: 99%

Yang-Mills theories with an arbitrary number of compactified extra dimensions

et al. 2014

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The well-known Yang-Mills theory with one S 1 /Z2 universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat base manifold under consideration contains n spatial extra dimensions defined by n copies of the orbifold S 1 /Z2. In this approach, we present the gauge structure and the mass spectrum of the effective four dimensional theory. We introduce the concept of standard and nonstandard gauge transformations of the effective theory, and explicitly identify the emergence of massive vector fields in the same number as massless ('pseudo-Goldstone') scalars in the compactified theory, verifying that a Higgs-like mechanism operates in the compactification process. It is found that, in contrast with the one UED scenario, in cases with two or more UEDs there emerge massive scalar fields. Besides, at a phase space level, the Hamiltonian analysis yields that the higher dimensional and compactified theories are classically equivalent using the fundamental concept of canonical transformation. This work lays the ground for a wider study on these theories concerning their quantization and predictive power at the level of quantum fluctuations.

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One-loop effects of extra dimensions on theWWγandWWZvertices

Cited by 18 publications

References 140 publications

Gauge invariance and quantization of Yang-Mills theories in extra dimensions

Gauge invariance and quantization of Yang-Mills theories in extra dimensions

WWV ( V=γ , Z ) vertex in the Georgi-Machacek model

Yang-Mills theories with an arbitrary number of compactified extra dimensions

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