Results 21 to 30 of about 528,990 (275)

A study of Feynman integrals with uniform transcendental weights and their symbology

Journal of High Energy Physics, 2022
Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales may have complicated symbol structures, and we show that twistor geometries of closely related dual
Song He, Zhenjie Li, Rourou Ma, Zihao Wu, Qinglin Yang, Yang Zhang   +5 more
doaj   +1 more source

Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals

European Physical Journal C: Particles and Fields, 2021
In a recent paper by the author (Chen in JHEP 02:115, 2020), the reduction of Feynman integrals in the parametric representation was considered. Tensor integrals were directly parametrized by using a generator method.
Wen Chen
doaj   +1 more source

Constructing canonical Feynman integrals with intersection theory

Physics Letters B, 2021
Canonical Feynman integrals are of great interest in the study of scattering amplitudes at the multi-loop level. We propose to construct dlog-form integrals of the hypergeometric type, treat them as a representation of Feynman integrals, and project them
Jiaqi Chen, Xuhang Jiang, Xiaofeng Xu, Li Lin Yang   +3 more
doaj   +1 more source

Using differential equations to compute two-loop box integrals [PDF]

, 2000
The calculation of exclusive observables beyond the one-loop level requires elaborate techniques for the computation of multi-leg two-loop integrals. We discuss how the large number of different integrals appearing in actual two-loop calculations can be ...
Bollini, Caffo, Caffo, Chetyrkin, Cicuta, E. Remiddi, Gonsalves, Kotikov, Kramer, Laporta, Remiddi, Remiddi, Smirnov, Smirnov, t'Hooft, T. Gehrmann, Tausk, Tkachov   +17 more
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Cross-Order Integral Relations from Maximal Cuts [PDF]

, 2015
We study the ABDK relation using maximal cuts of one- and two-loop integrals with up to five external legs. We show how to find a special combination of integrals that allows the relation to exist, and how to reconstruct the terms with one-loop integrals
Johansson, Henrik, Kosower, David A., Larsen, Kasper J., Sogaard, Mads   +3 more
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The 2-refined neutrosophic fraction function and its integrals [PDF]

Neutrosophic Sets and Systems
The goal of this article is to study the 2-refined neutrosophic fraction function and its integrals. We were defining the 2-refined neutrosophic fraction function and discussing Algorithm for finding the integral of the 2-refined neutrosophic proper ...
Yaser Ahmad Alhasan, Suliman Sheen, Qusay Ahassan, Raja Abdullah Abdulfatah   +3 more
doaj   +1 more source

The indefinite refined neutrosophic integrals by parts [PDF]

Neutrosophic Sets and Systems
this article's goal is to present the indefinite refined neutrosophic integrals by parts. All situations where integration by parts can be used are covered, including the use of rotating integrals to solve recurring and non-terminating functions like the
Yaser Ahmad Alhasan, Ahmad Abdullah Almekhlef, Mohamed Elghazali Ali Mohieldin Mohamed, Raja Abdullah Abdulfatah   +3 more
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Approximate methods for calculating hypersingular integrals

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. Hypersingular integrals are now finding more and more fields of application – aerodynamics, elasticity theory, electrodynamics and geophysics.
I.V. Boykov, P.V. Aykashev
doaj   +1 more source

Methods for deriving functional equations for Feynman integrals

, 2017
We present short review of two methods for obtaining functional equations for Feynman integrals. Application of these methods for finding functional equations for one- and two- loop integrals is described in detail.
Tarasov, O. V.
core   +1 more source

Reduction formalism for dimensionally regulated one-loop N-point integrals [PDF]

, 1999
We consider one-loop scalar and tensor integrals with an arbitrary number of external legs relevant for multi-parton processes in massless theories. We present a procedure to reduce N-point scalar functions with generic 4-dimensional external momenta to ...
Bern, Bern, Bern, Bern, Campbell, Campbell, Caravaglios, Davydychev, Denner, Devaraj, Draggiotis, Ellis, G. Heinrich, Ghinculov, Glover, Hooft, J.Ph. Guillet, Kunszt, Mangano, Melrose, Passarino, Pittau, Pittau, Stuart, T. Binoth, Tarasov, van Neerven, van Oldenbourg, Weinzierl   +28 more
core   +2 more sources