Pinch technique to all orders

Binosi, Daniele; Papavassiliou, Joannis

doi:10.1103/physrevd.66.111901

Cited by 186 publications

(415 citation statements)

References 25 publications

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“…It is known [23,24] that the BFG self-energies coincide with those obtained in the standard R ξ gauges via the pinch technique (PT) procedure [25]. The PT is a prescription that combines the conventional self-energies with specific parts of the vertex and box diagrams, the so-called pinch parts, such that the resulting PT self-energies are gauge-independent in the class of R ξ gauges.…”

Section: Outline Of the Calculationmentioning

confidence: 99%

Two-loop electroweak corrections to the Higgs-boson decay

Degrassi

Maltoni

2005

Nuclear Physics B

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The complete set of two-loop electroweak corrections to the decay width of the Higgs boson into two photons is presented. Two-loop contributions involving weak bosons and the top quark are computed in terms of an expansion in the Higgs external momentum. Adding these results to the previously known light fermion contributions, we find that the total electroweak corrections for a Higgs boson with 100 GeV m H 150 GeV are moderate and negative, between −4% δ EW 0%. Combination with the QCD corrections, which are small and positive, gives a total correction to the one-loop results of |δ EW +QCD | 1.5%.

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Section: Outline Of the Calculationmentioning

confidence: 99%

Two-loop electroweak corrections to the Higgs-boson decay

Degrassi

Maltoni

2005

Nuclear Physics B

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“…In theories with spontaneous symmetry breaking this dependence on ξ Q gives rise to unphysical thresholds inside these Green's functions for ξ Q = 1, a fact which limits their usefulness for resummation purposes [4]. Only the case of the background Feynman gauge (BFG) (i.e., BFM with ξ Q = 1) is free from unphysical poles, and it has been shown that the results of these Green's functions collapse to those of the PT, at one loop [25] (full SM) and at two loops [26] (SM with massless fermions). As we will see, this correspondence between the PT Green's functions and the ones obtained using the BFG persists to all orders in the full SM case, in a complete parallel to the QCD case [22].…”

Section: Introductionmentioning

confidence: 99%

“…The first one is related to the proliferation of Feynman diagrams due to the richer particle spectrum of such theories; the second one is related to the complications arising from the presence of Goldtone's bosons, which implies that the BRST symmetry (and therefore the STIs) will now be realized through them. Nevertheless, by unveiling the intertwining between the PT and the BRST symmetry underlying the theory, we will show that the all-order generalization becomes possible along the same lines put forward in [22] for the QCD case.…”

Section: Introductionmentioning

confidence: 99%

“…Only the case of the background Feynman gauge (BFG) (i.e., BFM with ξ Q = 1) is free from unphysical poles, and it has been shown that the results of these Green's functions collapse to those of the PT, at one loop [25] (full SM) and at two loops [26] (SM with massless fermions). As we will see, this correspondence between the PT Green's functions and the ones obtained using the BFG persists to all orders in the full SM case, in a complete parallel to the QCD case [22]. We would like to stress that in deriving such a correspondence, at no point we will employ an a priori knowledge of the BFM.…”

Section: Introductionmentioning

confidence: 99%

“…Other interesting applications include the gauge-invariant formulation of the process independent part of the ρ parameter at one- [11] and two-loops [12], various finite temperature calculations [13], the correct definition of non-Abelian effective charges [14], a novel approach to the comparison of electroweak data with theory [15], resonant CP violation [16], the construction of the two-loop PT quark self-energy [17], and, more recently, the issue of (supersymmetric) particle mixings [18,19], the determination of the gauge independent form factors for Møller scattering and their relation to the running of the weak mixing angle [20], and the discussion of the PT as a physical renormalization scheme for GUTs [21].…”

Section: Introductionmentioning

confidence: 99%

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Electroweak pinch technique to all orders

Binosi¹

2004

J. Phys. G: Nucl. Part. Phys.

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Abstract. The generalization of the pinch technique to all orders in the electroweak sector of the Standard Model within the class of the renormalizable 't Hooft gauges, is presented. In particular, both the all-order PT gauge-boson-and scalar-fermions vertices, as well as the diagonal and mixed gauge-boson and scalar self-energies are explicitly constructed. This is achieved through the generalization to the Standard Model of the procedure recently applied to the QCD case, which consist of two steps: (i) the identification of special Green's functions, which serve as a common kernel to all self-energy and vertex diagrams, and (ii) the study of the (on-shell) SlavnovTaylor identities they satisfy. It is then shown that the ghost, scalar and scalar-gaugeboson Green's functions appearing in these identities capture precisely the result of the pinching action at arbitrary order. It turns out that the aforementioned Green's functions play a crucial role, their net effect being the non-trivial modification of the ghost, scalar and scalar-gauge-boson diagrams of the gauge-boson-or scalar-fermions vertex we have started from, in such a way as to dynamically generate the characteristic ghost and scalar sector of the background field method. The pinch technique gaugeboson and scalar self-energies are also explicitly constructed by resorting to the method of the background-quantum identities.

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On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions

Rodríguez-Quintero

2011

J. High Energ. Phys.

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We study the low-momentum behaviour of Yang-Mills propagators obtained from Landau-gauge Dyson-Schwinger equations (DSE) in the PT-BFM scheme. We compare the ghost propagator numerical results with the analytical ones obtained by analyzing the low-momentum behaviour of the ghost propagator DSE in Landau gauge, assuming for the truncation a constant ghost-gluon vertex and a simple model for a massive gluon propagator. The asymptotic expression obtained for the regular or decoupling ghost dressing function up to the order O(q2) is proven to fit pretty well the numerical PT-BFM results. Furthermore, when the size of the coupling renormalized at some scale approaches some critical value, the numerical PT-BFM propagators tend to behave as the scaling ones. We also show that the scaling solution, implying a diverging ghost dressing function, cannot be a DSE solution in the PT-BFM scheme but an unattainable limiting case.The author is particularly indebted to Ph. Boucaud, J.P Leroy, A. Le Yaouanc, J. Micheli and O. Pene for very fruitful discussions at the initial stages of the work and to J. Papavassiliou and A. C. Aguilar also for very valuable discussions and comments, and specially for providing me with some unpublished results which were exploited in this paper. J. R-Q also acknowledges the Spanish MICINN for the support by the research project FPA2009-10773 and "Junta de Andalucia" by P07FQM02962

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Pinch technique to all orders

Cited by 186 publications

References 25 publications

Two-loop electroweak corrections to the Higgs-boson decay

Two-loop electroweak corrections to the Higgs-boson decay

Electroweak pinch technique to all orders

On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions

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