Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
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In this paper, the first few expansion coefficients are calculated by the large mass expansion for a large class of two-loop self-energy-and vertex-type diagrams with only one non-zero mass (m) and the vertices also with only 1 nonzero external momentum squared (q(2)).About:
This article is published in Nuclear Physics.The article was published on 1999-05-10 and is currently open access. It has received 188 citations till now. The article focuses on the topics: Taylor series & Feynman diagram.read more
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Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model
TL;DR: In this article, the authors present results for the three-loop universal anomalous dimension γuni(j) of Wilson twist-2 operators in the N = 4 Supersymmetric Yang-Mills model.
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Analytical result for dimensionally regularized massless on shell double box
TL;DR: In this paper, the dimensionally regularized double box Feynman diagram with powers of propagators equal to one was analytically evaluated for general values of the Mandelstam variables s and t.
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DGLAP and BFKL equations in the $N=4$ supersymmetric gauge theory
Anatoly V. Kotikov,L.N. Lipatov +1 more
TL;DR: In this paper, the authors derived the DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory in the next-to-leading approximation.
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DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
A. V. Kotikov,L.N. Lipatov +1 more
TL;DR: In this paper, DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory in the leading and next-to-leading approximations are discussed.
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Nested sums, expansion of transcendental functions and multiscale multiloop integrals
TL;DR: In this article, the authors give the general solution of a two-loop integral, the so-called C-topology, in terms of multiple nested sums and discuss some important properties of nested sums, in particular they satisfy a Hopf algebra.
References
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Integration by parts: The algorithm to calculate β-functions in 4 loops
K.G. Chetyrkin,F.V. Tkachov +1 more
TL;DR: In this paper, it was proved that the counterterm for an arbitrary 4-loop Feynman diagram in an arbitrary model is calculable within the minimal subtraction scheme in terms of rational numbers and the Riemann ζ-function in a finite number of steps via a systematic "algebraic" procedure involving neither integration of elementary, special, or any other functions, nor expansions in and summation of infinite series of any kind.
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A theorem on analytical calculability of 4-loop renormalization group functions
TL;DR: In this article, a method of evaluating massless propagator-type Feynman integrals is presented, which guarantees that the counterterm of an arbitrary 4-loop diagram can be calculated analytically within the minimal substraction scheme.
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Higgs boson production at the lhc
TL;DR: In this article, the authors presented the QCD corrections to the fusion cross sections for the Higgs boson in the Standard Model, and for the neutral Higgs particles in the minimal supersymmetric extension of the standard model.
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Higgs boson production at the LHC
TL;DR: In this paper, the authors presented the QCD corrections to the fusion cross sections for the Higgs boson in the Standard Model, and for the neutral Higgs particles in the minimal supersymmetric extension of the standard model.
Journal ArticleDOI
Differential equations method. New technique for massive Feynman diagram calculation
TL;DR: In this paper, a new method of massive Feynman diagram calculation is presented, which provides a fairly simple procedure for obtaining the result without D -space integrals for dimensional regularization.