Generalized recurrence relations for two-loop propagator integrals with arbitrary masses

Tarasov, O. V.

doi:10.1016/s0550-3213(97)00376-3

Cited by 248 publications

(304 citation statements)

References 54 publications

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“…The contraction of the Dirac and γ 5 matrices was done with FeynCalc [100]. The reduction to master integrals was performed using the program TARCER [101], which is based on a reduction algorithm proposed by Tarasov [102,103] and which is included in FeynCalc. Additional checks of the calculation of the self-energy diagrams have been carried out applying in-house mathematica routines for the evaluation of scalar self-energy diagrams but also using the programs OneCalc and TwoCalc [80,104] for the contraction of Dirac matrices, the evaluation of Dirac traces and the tensor reduction of the integrals in combination with the package FeynArts for the amplitude generation.…”

Section: Tools and Checksmentioning

confidence: 99%

Two-loop contributions of the order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ to the masses of the Higgs bosons in the CP-violating NMSSM

Mühlleitner

Nhung

Rzehak

et al. 2015

J. High Energ. Phys.

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Abstract:We provide the two-loop corrections to the Higgs boson masses of the CPviolating NMSSM in the Feynman diagrammatic approach with vanishing external momentum at O(α t α s ). The adopted renormalization scheme is a mixture between DR and on-shell conditions. Additionally, the renormalization of the top/stop sector is provided both for the DR and the on-shell scheme. The calculation is performed in the gaugeless limit. We find that the two-loop corrections compared to the one-loop corrections are of the order of 5-10%, depending on the top/stop renormalization scheme. The theoretical error on the Higgs boson masses is reduced due to the inclusion of these higher order corrections.

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Section: Tools and Checksmentioning

confidence: 99%

Two-loop contributions of the order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ to the masses of the Higgs bosons in the CP-violating NMSSM

Mühlleitner

Nhung

Rzehak

et al. 2015

J. High Energ. Phys.

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“…All the diagrams entering the calculation ofα(m Z ), ∆r W ,ρ were generated using the Mathematica package Feynarts [45]. The reduction of the two-loop diagrams to scalar integrals was done using the code Tarcer [46] which uses the algorithm by Tarasov [47] and is now part of the Feyncalc [48] package. In order to extract the vertex and box contributions in ∆r W from the relevant diagrams, we used the projector presented in ref.…”

Section: Jhep05(2015)154mentioning

confidence: 99%

The m W − m Z interdependence in the Standard Model: a new scrutiny

Degrassi

Gambino

Giardino

2015

J. High Energ. Phys.

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Abstract:The m W − m Z interdependence in the Standard Model is studied in the M S scheme at the two-loop level, including the known higher-order contributions. The relevant radiative parameters, ∆α(µ), ∆r W ,ρ are computed at O(α 2 ) taking into account higherorder QCD corrections and the resummation of the reducible contributions. We obtain m W = 80.357 ± 0.009 ± 0.003 GeV where the errors refer to the parametric and theoretical uncertainties, respectively. A comparison with the known result in the On-Shell scheme gives a difference of ≈ 6 MeV. As a byproduct of our calculation we also obtain the M S electromagnetic coupling and the weak mixing angle at the top mass scale,α(M t ) = (127.73) −1 ± 0.0000003 and sin 2θ W (M t ) = 0.23462 ± 0.00012.

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“…The one-loop and two-loop integral functions are reduced using Tarasov's algorithm [47,48] The precise definitions of the integral functions and methods for their evaluation are described in [37,38].…”

Section: ) (22)mentioning

confidence: 99%

Two-loop scalar self-energies and pole masses in a general renormalizable theory with massless gauge bosons

Martin

2005

Phys. Rev. D

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I present the two-loop self-energy functions for scalar bosons in a general renormalizable theory, within the approximation that vector bosons are treated as massless or equivalently that gauge symmetries are unbroken. This enables the computation of the two-loop physical pole masses of scalar particles in that approximation. The calculations are done simultaneously in the massindependent MS, DR, and DR ′ renormalization schemes, and with arbitrary covariant gauge fixing.As an example, I present the two-loop SUSYQCD corrections to squark masses, which can increase the known one-loop results by of order one percent. More generally, it is now straightforward to implement all two-loop sfermion pole mass computations in supersymmetry using the results given here, neglecting only the electroweak vector boson masses compared to the superpartner masses in the two-loop parts. Contents

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Generalized recurrence relations for two-loop propagator integrals with arbitrary masses

Cited by 248 publications

References 54 publications

Two-loop contributions of the order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ to the masses of the Higgs bosons in the CP-violating NMSSM

Two-loop contributions of the order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ to the masses of the Higgs bosons in the CP-violating NMSSM

The m W − m Z interdependence in the Standard Model: a new scrutiny

Two-loop scalar self-energies and pole masses in a general renormalizable theory with massless gauge bosons

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