Electroweak pinch technique to all orders

Binosi, Daniele

doi:10.1088/0954-3899/30/9/006

Cited by 32 publications

(33 citation statements)

References 95 publications

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“…It is now of central importance to recognize that, unlike the conventional three gluon vertex that satisfies an STI, the Γ amn αµν (q 1 , q 2 , q 3 ) constructed above satisfies a simple Abelian-like WI. Specifically, the conventional three-gluon vertex (in theR ξ gauges) satisfies at all orders the STI [45] 94) where the auxiliary function H αβ is the 1PI part of the composite operator…”

Section: Intrinsic Pinch Technique and The Gauge-independent Three-glmentioning

confidence: 99%

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Pinch technique: Theory and applications

2009

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We review the theoretical foundations and the most important physical applications of the Pinch Technique (PT). This general method allows the construction of off-shell Green's functions in non-Abelian gauge theories that are independent of the gauge-fixing parameter and satisfy ghost-free Ward identities. We first present the diagrammatic formulation of the technique in QCD, deriving at one loop the gauge independent gluon self-energy, quark-gluon vertex, and three-gluon vertex, together with their Abelian Ward identities. The generalization of the PT to theories with spontaneous symmetry breaking is carried out in detail, and the profound connection with the optical theorem and the dispersion relations are explained within the electroweak sector of the Standard Model. The equivalence between the PT and the Feynman gauge of the Background Field Method (BFM) is elaborated, and the crucial differences between the two methods are critically scrutinized. A variety of field theoretic techniques needed for the generalization of the PT to all orders are introduced, with particular emphasis on the Batalin-Vilkovisky quantization method and the general formalism of algebraic renormalization. The main conceptual and technical issues related to the extension of the technique beyond one loop are described, using the twoloop construction as a concrete example. Then the all-order generalization is thoroughly examined, making extensive use of the field theoretic machinery previously introduced; of central importance in this analysis is the demonstration that the PT-BFM correspondence persists to all orders in perturbation theory. The extension of the PT to the non-perturbative domain of the QCD Schwinger-Dyson equations is presented systematically, and the main advantages of the resulting self-consistent truncation scheme are discussed. A plethora of physical applications relying on the PT are finally reviewed, with special emphasis on the definition of gauge-independent off-shell form-factors, the construction of non-Abelian effective charges, the gauge-invariant treatment of resonant transition amplitudes and unstable particles, and finally the dynamical generation of an effective gluon mass.

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Section: Intrinsic Pinch Technique and The Gauge-independent Three-glmentioning

confidence: 99%

“…with s the BRST operator for the SM fields (for the full set of the BRST transformation see e.g., [94]). Notice that the ghost Lagrangian contains kinetic terms for the Faddeev-Popov fields, allowing one to introduce them as dynamical fields of the theory.…”

Section: The Electroweak Lagrangianmentioning

confidence: 99%

Pinch technique: Theory and applications

2009

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“…While the use of the alternative tadpole scheme ensures that the angular counterterms can be expressed in a gauge-independent way, at this stage they still contain a dependence on the gaugefixing parameter. We therefore combine the virtues of the alternative tadpole scheme with the pinch technique [51][52][53][54][55][56][57][58]. The pinch technique allows us to extract the truly gaugeindependent parts of the angular counterterms.…”

Section: Angular Countertermsmentioning

confidence: 99%

“…In appendix B we present the basic idea of the pinch technique (see also refs. [51][52][53][54][55][56][57][58] for a detailed exposition). We exemplarily show, for the CP-even sector, how to proceed in the derivation of the pinched self-energy.…”

Section: Gauge-independent Pinch Technique-based Angular Counterterm mentioning

confidence: 99%

“…refs. [51][52][53][54][55][56][57][58] for a detailed exposition) is to isolate the gauge dependences of an arbitrary toy scattering process, which features the to-be pinched self-energies in a unique way. This is achieved by applying the elementary Ward identities 17) where k denotes the loop momentum, m 1 and m 2 the masses of the external fermions of the considered toy process and S(p) the fermion propagator…”

Section: B2 Pinch Contributions For the N2hdmmentioning

confidence: 99%

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Gauge-independent renormalization of the N2HDM

Krause

López-Val

Mühlleitner

et al. 2017

J. High Energ. Phys.

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Abstract:The Next-to-Minimal 2-Higgs-Doublet Model (N2HDM) is an interesting benchmark model for a Higgs sector consisting of two complex doublet and one real singlet fields. Like the Next-to-Minimal Supersymmetric extension (NMSSM) it features light Higgs bosons that could have escaped discovery due to their singlet admixture. Thereby, the model allows for various different Higgs-to-Higgs decay modes. Contrary to the NMSSM, however, the model is not subject to supersymmetric relations restraining its allowed parameter space and its phenomenology. For the correct determination of the allowed parameter space, the correct interpretation of the LHC Higgs data and the possible distinction of beyond-the-Standard Model Higgs sectors higher order corrections to the Higgs boson observables are crucial. This requires not only their computation but also the development of a suitable renormalization scheme. In this paper we have worked out the renormalization of the complete N2HDM and provide a scheme for the gauge-independent renormalization of the mixing angles. We discuss the renormalization of the Z 2 soft breaking parameter m 2 12 and the singlet vacuum expectation value v S . Both enter the Higgs self-couplings relevant for Higgs-to-Higgs decays. We apply our renormalization scheme to different sample processes such as Higgs decays into Z bosons and decays into a lighter Higgs pair. Our results show that the corrections may be sizable and have to be taken into account for reliable predictions.

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Impact of electroweak corrections on neutral Higgs boson decays in extended Higgs sectors

Krause

Mühlleitner

2020

J. High Energ. Phys.

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Precision predictions play an important role in the search for indirect New Physics effects in the Higgs sector itself. For the electroweak (EW) corrections of the Higgs bosons in extended Higgs sectors several renormalization schemes have been worked out that provide gauge-parameter-independent relations between the input parameters and the computed observables. Our recently published program codes 2HDECAY and ewN2HDECAY allow for the computation of the EW corrections to the Higgs decay widths and branching ratios of the Two-Higgs-Doublet Model (2HDM) and the Next-to-Minimal-2HDM (N2HDM) for different renormalization schemes of the scalar mixing angles. In this paper, we present a comprehensive and complete overview over the relative size of the EW corrections to the branching ratios of the 2HDM and N2HDM neutral Higgs bosons for different applied renormalization schemes. We quantify the size of the EW corrections of Standard Model(SM)-and non-SMlike Higgs bosons and moreover also identify renormalization schemes that are well-behaved and do not induce unnaturally large corrections. We furthermore pin down decays and parameter regions that feature large EW corrections and need further treatment in order to improve the predictions. Our study sets the scene for future work in the computation of higher-order corrections to the decays of non-minimal Higgs sectors. * 1 Other recent works including EW corrections to non-SM Higgs decays are [7] where EW corrections to Higgsto-Higgs decays in a singlet extension of the SM have been computed, or [8] which provides a generic calculation of the two-body partial decays widths at full one-loop level in the DR renormalization scheme. Next-to-leading order corrections to Higgs boson decays in models with non-minimal sectors have been computed in [9,10]. For the Next-to-Minimal Supersymmetric extension of the SM (NMSSM), the full one-loop renormalization and one-loop corrected two-body Higgs decay widths in the on-shell (OS) renormalization scheme have been given in [11,12]. Recent calculations of the EW corrections to the NMSSM Higgs boson decays in the CP-conserving and/or CPviolating NMSSM can be found in [13][14][15][16][17][18][19]. They can be computed with the public code NMSSMCALCEW [17] (based on the extension of NMSSMCALC [20]). m h , m H , m A , m H ± , m 2 12 , α, tan β, v . (2.19)Alternatively, the original parametrization of the scalar potential in the interaction basis can be used so that the set of independent parameters is given by λ 1 , λ 2 , λ 3 , λ 4 , λ 5 , m 2 12 , tan β, v .(2.20)

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Electroweak pinch technique to all orders

Cited by 32 publications

References 95 publications

Pinch technique: Theory and applications

Pinch technique: Theory and applications

Gauge-independent renormalization of the N2HDM

Impact of electroweak corrections on neutral Higgs boson decays in extended Higgs sectors

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