Electroweak two-loop corrections to the effective weak mixing angle

Awramik, M.; Czakon, M.; Freitas, Ayres

doi:10.1088/1126-6708/2006/11/048

Cited by 137 publications

(245 citation statements)

References 97 publications

(139 reference statements)

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“…State-of-the-art calculations are used, in particular the full two-loop and leading beyond-two-loop corrections for the prediction of the W mass and the effective weak mixing angle [14][15][16], which exhibit the strongest constraints on the Higgs mass. A modification to Ref.…”

Section: Fit Inputs Standard Model Predictionsmentioning

confidence: 99%

Updated status of the global electroweak fit and constraints on new physics

Goêbel²,

et al. 2012

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-We present an update of the Standard Model fit to electroweak precision data. We include newest experimental results on the top quark mass, the W mass and width, and the Higgs boson mass bounds from LEP, Tevatron and the LHC. We also include a new determination of the electromagnetic coupling strength at the Z pole. We find for the Higgs boson mass 91 +30 −23 GeV and 120 +12−5 GeV when not including and including the direct Higgs searches, respectively. From the latter fit we indirectly determine the W mass to be (80.360 +0.014 −0.013 ) GeV. We exploit the data to determine experimental constraints on the oblique vacuum polarisation parameters, and confront these with predictions from the Standard Model (SM) and selected SM extensions. By fitting the oblique parameters to the electroweak data we derive allowed regions in the BSM parameter spaces. We revisit and consistently update these constraints for a fourth fermion generation, two Higgs doublet, inert Higgs and littlest Higgs models, models with large, universal or warped extra dimensions and technicolour. In most of the models studied a heavy Higgs boson can be made compatible with the electroweak precision data.

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Section: Fit Inputs Standard Model Predictionsmentioning

confidence: 99%

Updated status of the global electroweak fit and constraints on new physics

Goêbel²,

et al. 2012

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“…In the following, a method for the evaluation of all relevant master integrals is proposed, which is based on dispersion relations. This technique has been previously used for the numerical evaluation of two-loop self-energy and vertex integrals [25][26][27]. For the master integrals considered in this paper, the dispersion relation approach leads to simple numerical integrals for their finite part.…”

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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“…[1] have derived the dominant contributions to the H → bb decay width, and two different collaborations have computed the fermionic [2] and bosonic [3,4] corrections to the effective electroweak mixing angle.…”

Section: Introductionmentioning

confidence: 99%

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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Electroweak two-loop corrections to the effective weak mixing angle

Cited by 137 publications

References 97 publications

Updated status of the global electroweak fit and constraints on new physics

Updated status of the global electroweak fit and constraints on new physics

Three-loop vacuum integrals with arbitrary masses

NNLO computational techniques: The cases and

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