Data Preparation

Freitas, Alex A.

doi:10.1007/978-3-662-04923-5_4

Cited by 3 publications

(5 citation statements)

References 3 publications

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“…( 2) up to next-to-next-to-leading order in the electroweak coupling and using the optical theorem leads to (see Ref. [23] for details)…”

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confidence: 99%

“…Therefore, the new results are important for robust predictions of these quantities, while the remaining theory uncertainty is estimated to be relatively small. It mainly stems from the missing bosonic O(α 2 ) contributions and O(α 2 α s ), O(α 3 ) and O(αα 2 s ) corrections beyond the large-m t approximation, leading to the estimates δΓ Z ≈ 0.5 MeV and δσ 0 had ≈ 0.006 nb [23].…”

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confidence: 99%

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Two-loop fermionic electroweak corrections to the Z-boson width and production rate

Freitas

2014

Physics Letters B

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Improved predictions for the Z-boson decay width and the hadronic Z-peak crosssection within the Standard Model are presented, based on a complete calculation of electroweak two-loop corrections with closed fermion loops. Compared to previous partial results, the predictions for the Z width and hadronic cross-section shift by about 0.6 MeV and 0.004 nb, respectively. Compact parametrization formulae are provided, which approximate the full results to better than 4 ppm. * Note that eq. (9) differs from the expression shown in Ref.[25] since the non-resonant terms in eq. (6) were not included there. See Ref.[23] for details.

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“…( 2) up to next-to-next-to-leading order in the electroweak coupling and using the optical theorem leads to (see Ref. [23] for details)…”

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confidence: 99%

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confidence: 99%

Two-loop fermionic electroweak corrections to the Z-boson width and production rate

Freitas

2014

Physics Letters B

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“…In this section the extension to two-loop diagrams is discussed. The two-loop integrals may contain UV singularities as well as IR singularities in one subloop, while the case with IR singularities in both subloops will be addressed in a future publication [14].…”

Section: Two-loop Integralsmentioning

confidence: 99%

“…In the present paper, only two-loop integrals with IR singularities in one of the subloops are considered. The extension to overlapping IR singularities in both subloops will be delegated to a forthcoming publication [14], but it is relatively straightforward since most of the required subtraction terms can be constructed from the results of Ref. [15].…”

Section: Introductionmentioning

confidence: 99%

Numerical evaluation of multi-loop integrals using subtraction terms

Freitas

2012

J. High Energ. Phys.

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A formalism for the numerical integration of one-and two-loop integrals is presented. It is based on subtraction terms which remove the soft, collinear and some of the ultraviolet divergences from the integrand. The numerical integral is performed in the Feynman parameter space, using a complex contour deformation to ensure robust convergence even in the presence of physical thresholds. The application of the proposed procedure is demonstrated with several one-and two-loop examples. An implementation in the program nicodemos is publicly available, which currently incorporates only one-loop functionality, but an extension to two-loop cases is planned for future versions.

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“…Results in [6,9] give that for a positive Lebesgue measure set of parameters f a in non-uniformly expanding. Ongoing work [8] gives that for a positive Lebesgue measure set of parameters there are C, c > 0 such that Leb(Γ n ) ≤ Ce −cn for every n ≥ 1.…”

Section: Examples: Non-uniformly Expanding Mapsmentioning

confidence: 99%

Backward volume contraction for endomorphisms with eventual volume expansion

Alves

Castro

Pinheiro

2006

Comptes Rendus. Mathématique

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We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward volume contraction on every pre-orbit of Lebesgue almost every point. To cite this article: J.F. Alves et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006).  2005 Académie des sciences. Published by Elsevier SAS. All rights reserved. Résumé Contraction en arrière pour des endomorphisms en expansion. Nous considérons des transformations différentiables sur des varietés Riemannienes compactes. Nous montrons que dans une certaine condition modérée d'expansion de volume nous pouvons déduire que pour Lebesgue presque chaque point nous avons contraction uniforme de volume en arrière de chaque pré-orbite. Pour citer cet article :

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Data Preparation

Cited by 3 publications

References 3 publications

Two-loop fermionic electroweak corrections to the Z-boson width and production rate

Two-loop fermionic electroweak corrections to the Z-boson width and production rate

Numerical evaluation of multi-loop integrals using subtraction terms

Backward volume contraction for endomorphisms with eventual volume expansion

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