Two-loop self-energy diagrams with different masses and the momentum expansion

Davydychev, Andrei I.; Tausk, J.B.

doi:10.1016/0550-3213(93)90338-p

Cited by 381 publications

(491 citation statements)

References 21 publications

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“…All resulting two-loop integrals are either two-loop vacuum integrals or products of one-loop integrals. They can be reduced to the standard integrals T 134 [19] and A 0 and B 0 [20] and can be evaluated analytically. The asymptotic expansion has to be performed up to terms of order m 2 µ .…”

Section: Calculationmentioning

confidence: 99%

Two-loop SUSY corrections to the anomalous magnetic moment of the muon

Heinemeyer

2004

Nuclear Physics B

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We calculate supersymmetric two-loop corrections to the anomalous magnetic moment of the muon, consisting of diagrams with a closed scalar fermion or fermion loop and gauge and/or Higgs boson exchange. We discuss the numerical impact of each subclass of diagrams and determine the leading contributions. We analyze in detail constraints from experimental information on the Higgs boson mass, ∆ρ, and the branching ratios of B → X s γ and B s → µ + µ − . If these constraints are taken into account, the largest possible effect of our two-loop corrections is reduced from more than 3 σ (in terms of the current experimental error) to ∼ 0.5 σ, such that the influence on the total supersymmetric prediction is smaller than previously estimated. However, exceptions arise in rather extreme parameter scenarios with a strong non-universality between the soft breaking parameters in the stop and sbottom sectors. * email: Sven.Heinemeyer@cern.ch †

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Section: Calculationmentioning

confidence: 99%

Two-loop SUSY corrections to the anomalous magnetic moment of the muon

Heinemeyer

2004

Nuclear Physics B

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“…[3]) or as building blocks in more general three-loop calculations. At the two-loop level, analytical formulae for general vacuum integrals have been known for some time [3][4][5]. When expanding in powers of ǫ = (4−D)/2 within dimensional JHEP11(2016)145 regularization, they can be written in terms of polylogarithms.…”

Section: Introductionmentioning

confidence: 99%

Three-loop vacuum integrals with arbitrary masses

Freitas

2016

J. High Energ. Phys.

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Three-loop vacuum integrals are an important building block for the calculation of a wide range of three-loop corrections. Until now, analytical results for integrals with only one and two independent mass scales are known, but in the electroweak Standard Model and many extensions thereof, one often encounters more mass scales of comparable magnitude. For this reason, a numerical approach for the evaluation of three-loop vacuum integrals with arbitrary mass pattern is proposed here. Concretely, one can identify a basic set of three master integral topologies. With the help of dispersion relations, each of these can be transformed into one-dimensional or, for the most complicated case, two-dimensional integrals in terms of elementary functions, which are suitable for efficient numerical integration.

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“…The amplitudes are algebraically reduced by means of a general tensor integral decomposition for two-loop two-point functions with the program TwoCalc [18], leading to a fixed set of standard scalar integrals. Analytical formulae are known for the scalar one-loop [19] and two-loop [20] vacuum integrals whereas the two-loop self-energy diagrams can be evaluated numerically by means of one-dimensional integral representations [21].…”

Section: Calculational Methodsmentioning

confidence: 99%

Calculation of fermionic two-loop contributions to muon decay

Freitas¹,

Heinemeyer²,

Hollik³

et al. 2000

Nuclear Physics B - Proceedings Supplements

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The computation of the correction ∆r in the W-Z mass correlation, derived from muon decay, is described at the two-loop level in the Standard Model. Technical aspects which become relevant at this level are studied, e.g. gauge-parameter independent mass renormalization, ghost-sector renormalization and the treatment of γ 5 . Exact results for ∆r and the W mass prediction including O(α 2 ) corrections with fermion loops are presented and compared with previous results of a next-to-leading order expansion in the top-quark mass.

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Two-loop self-energy diagrams with different masses and the momentum expansion

Cited by 381 publications

References 21 publications

Two-loop SUSY corrections to the anomalous magnetic moment of the muon

Two-loop SUSY corrections to the anomalous magnetic moment of the muon

Three-loop vacuum integrals with arbitrary masses

Calculation of fermionic two-loop contributions to muon decay

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