Results 11 to 20 of about 528,990 (275)
APPROXIMATE INTEGRATION OF HIGHLY OSCILLATING FUNCTIONS
Elementary approximate formulae for numerical integration of functions containing oscillating factors of a special form with a parameter have been proposed in the paper.
I. N. Melashko +2 more
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Evaluating single-scale and/or non-planar diagrams by differential equations [PDF]
We apply a recently suggested new strategy to solve differential equations for Feynman integrals. We develop this method further by analyzing asymptotic expansions of the integrals. We argue that this allows the systematic application of the differential
Henn, Johannes M. +2 more
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Gustav Dobos +4 more
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Integrity is the dedicated commitment to an accepted conduct and form of living ... is the honest response to professional attitudes and values.
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Integrability for Feynman integrals
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as ...
openaire +3 more sources
Reduction of one-loop tensor 5-point integrals [PDF]
A new method for the reduction of one-loop tensor 5-point integrals to related 4-point integrals is proposed. In contrast to the usual Passarino-Veltman reduction and other methods used in the literature, this reduction avoids the occurrence of inverse ...
A. Denner +31 more
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Feynman integrals from positivity constraints
We explore inequality constraints as a new tool for numerically evaluating Feynman integrals. A convergent Feynman integral is non-negative if the integrand is non-negative in either loop momentum space or Feynman parameter space.
Mao Zeng
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The integral of 2- refined rational neutrosophic functions [PDF]
The main objective of this paper is to study the integral of 2- refined rational neutrosophic functions, by providing direct rules that make it easy for us to find the integral of 2- refined rational neutrosophic functions, where the division of refined ...
Iqbal Ahmed Musa , Yaser Ahmad Alhasan
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Master integrals for bipartite cuts of three-loop photon self energy
We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy.
R. N. Lee, A. I. Onishchenko
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