Titlebook: Applied Asymptotic Expansions in Momenta and Masses; Vladimir A. Smirnov Book 2002 Springer-Verlag Berlin Heidelberg 2002 Feynman diagrams

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Threshold Expansion. Two Masses in the Threshold,rd, soft, potential and ultrasoft, for the threshold expansion. Then general prescriptions are formulated and subtle points about their application are explained. We continue, in Sect. 7.3, with examples of two-loop diagrams for which analytic results are unknown.

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Book 2002nsense/ There‘s only one degree of freshness the first, and it‘s the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, thi

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Trends in EU Energy Policy 1995–2007rd, soft, potential and ultrasoft, for the threshold expansion. Then general prescriptions are formulated and subtle points about their application are explained. We continue, in Sect. 7.3, with examples of two-loop diagrams for which analytic results are unknown.

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0081-3869 ‘"Second grade fresh" that‘s what I call nonsense/ There‘s only one degree of freshness the first, and it‘s the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses

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Energy, Regional Science and Public Policye of the momentum transfer . . ≡ −(. . − . .). is large compared with the masses, and, for the four-point amplitudes, the Mandelstam variables . = (. . + . .)., . = (. . − . .). are larger than the masses. In the latter case, one has . = −.(1 − cos.)/2 in the centre-of-mass frame, so that this limit is connected with scattering at fixed angles.

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Threshold Expansion. One Heavy Mass in the Threshold,hold. As is well known, thresholds are located at . . = (Σ . .)., where . is the sum of the external momenta flowing through a cut in a diagram, and the . . are the masses of the lines in the cut. We shall consider two kinds of such threshold limits: