Two-loop vertices in quantum field theory: infrared convergent scalar configurations

Ferroglia, Andrea; Passera, M.; Passarino, Giampiero; Uccirati, Sandro

doi:10.1016/j.nuclphysb.2003.12.016

Cited by 42 publications

(56 citation statements)

References 67 publications

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“…[45,46,47,48]. The presence of non-trivial structures containing integration momenta in the numerators of two-loop integrals requires to introduce tensor structures and form factors, as described in sections 7 and 9 of Ref.…”

Section: Classification Of Two-loop Integralsmentioning

confidence: 99%

“…We follow the parametrization procedure described in section 7 of Ref. [47] for the scalar cases; the corresponding parametrization for tensor integrals can be found in section 9 of Ref. [49].…”

Section: The Collinear-finite Part Of Vmentioning

confidence: 99%

“…[47]. We first combine the q 1 and q 2 propagators with z 1 and z 2 Feynman parameters; the resulting expression contains the product of three propagators, the first in q 1 , the second in q 1 − q 2 and the last in q 2 ,…”

Section: Vertices With Two Photons Coupled To Light Fermionsmentioning

confidence: 99%

“…[47]. After combining the q 1 , q 1 − q 2 and q 2 propagators with Feynman parameters z 1 , z 2 and z 3 , we obtain…”

Section: The Master Integralmentioning

confidence: 99%

“…[45,46] for self-energies and of Refs. [47,48,49] for vertices. For the three vertex families V G , V K and V H , we modify our approach, since two external massless particles appear and simpler results can be derived.…”

Section: Evaluation Of Massive Diagramsmentioning

confidence: 99%

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NNLO computational techniques: The cases and

et al. 2009

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A large set of techniques needed to compute decay rates at the two-loop level are derived and systematized. The main emphasis of the paper is on the two Standard Model decays H → γγ and H → gg. The techniques, however, have a much wider range of application: they give practical examples of general rules for two-loop renormalization; they introduce simple recipes for handling internal unstable particles in two-loop processes; they illustrate simple procedures for the extraction of collinear logarithms from the amplitude. The latter is particularly relevant to show cancellations, e.g. cancellation of collinear divergencies. Furthermore, the paper deals with the proper treatment of non-enhanced two-loop QCD and electroweak contributions to different physical (pseudo-)observables, showing how they can be transformed in a way that allows for a stable numerical integration. Numerical results for the two-loop percentage corrections to H → γγ, gg are presented and discussed. When applied to the process pp → gg + X → H + X, the results show that the electroweak scaling factor for the cross section is between −4% and +6% in the range 100 GeV < M H < 500 GeV, without incongruent large effects around the physical electroweak thresholds, thereby showing that only a complete implementation of the computational scheme keeps two-loop corrections under control.

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Section: Classification Of Two-loop Integralsmentioning

confidence: 99%

Section: The Collinear-finite Part Of Vmentioning

confidence: 99%

Section: Vertices With Two Photons Coupled To Light Fermionsmentioning

confidence: 99%

“…[47]. After combining the q 1 , q 1 − q 2 and q 2 propagators with Feynman parameters z 1 , z 2 and z 3 , we obtain…”

Section: The Master Integralmentioning

confidence: 99%

Section: Evaluation Of Massive Diagramsmentioning

confidence: 99%

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NNLO computational techniques: The cases and

et al. 2009

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Gauge-independent M S ¯ $$ \overline{\mathrm{MS}} $$ renormalization in the 2HDM

Denner

Jenniches

Lang

et al. 2016

J. High Energ. Phys.

159

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We present a consistent renormalization scheme for the CP-conserving TwoHiggs-Doublet Model based on MS renormalization of the mixing angles and the soft-Z 2 -symmetry-breaking scale M sb in the Higgs sector. This scheme requires to treat tadpoles fully consistently in all steps of the calculation in order to provide gauge-independent Smatrix elements. We show how bare physical parameters have to be defined and verify the gauge independence of physical quantities by explicit calculations in a general R ξ -gauge. The procedure is straightforward and applicable to other models with extended Higgs sectors. In contrast to the proposed scheme, the MS renormalization of the mixing angles combined with popular on-shell renormalization schemes gives rise to gauge-dependent results already at the one-loop level. We present explicit results for electroweak NLO corrections to selected processes in the appropriately renormalized Two-Higgs-Doublet Model and in particular discuss their scale dependence.

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Electroweak corrections to g + g → Hl,h and Hl,h → γ + γ in the Higgs-singlet extension of the Standard model

Sturm,

Summ,

Uccirati

2023

J. High Energ. Phys.

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We calculate the next-to-leading order electroweak corrections for Higgs-boson production in gluon fusion and the Higgs-boson decay into two photons or gluons in the real Higgs-singlet extension of the Standard model (HSESM). For the light Higgs-boson of the HSESM the electroweak corrections for these processes are of the same order of magnitude as in the Standard model. For the heavy Higgs-boson of the HSESM the electroweak corrections can become large depending on the considered scenario.

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Two-loop vertices in quantum field theory: infrared convergent scalar configurations

Cited by 42 publications

References 67 publications

NNLO computational techniques: The cases and

NNLO computational techniques: The cases and

Gauge-independent M S ¯ $$ \overline{\mathrm{MS}} $$ renormalization in the 2HDM

Electroweak corrections to g + g → Hl,h and Hl,h → γ + γ in the Higgs-singlet extension of the Standard model

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