Evaluating four-loop conformal Feynman integrals by D-dimensional differential equations
نویسندگان
چکیده
منابع مشابه
Evaluating multiloop Feynman integrals by differential equations
One year ago Henn suggested a new approach to solve differential equations for multiloop Feyn-man integrals. It is based on the notion of uniform transcendentality. A brief review of applications of this approach is presented.
متن کاملMulti-loop Feynman Integrals and Conformal Quantum Mechanics
New algebraic approach to analytical calculations of D-dimensional integrals for multi-loop Feynman diagrams is proposed. We show that the known analytical methods of evaluation of multi-loop Feynman integrals, such as integration by parts and star-triangle relation methods, can be drastically simplified by using this algebraic approach. To demonstrate the advantages of the algebraic method of ...
متن کاملComputation of Feynman loop integrals
We address multivariate integration and extrapolation techniques for the computation of Feynman loop integrals. Loop integrals are required for perturbation calculations in high energy physics, as they contribute corrections to the scattering amplitude and the cross section for the collision of elementary particles. We use iterated integration to calculate the multivariate integrals. The combin...
متن کاملFeynman integrals and difference equations
We report on the calculation of multi-loop Feynman integrals for single-scale problems by means of difference equations in Mellin space. The solution to these difference equations in terms of harmonic sums can be constructed algorithmically over difference fields, the so-called ΠΣ∗-fields. We test the implementaion of the Mathematica package Sigma on examples from recent higher order perturbati...
متن کاملDifferential equations for definition and evaluation of Feynman integrals.
It is shown that every Feynman integral can be interpreted as Green function of some linear differential operator with constant coefficients. This definition is equivalent to usual one but needs no regularization and application of R-operation. It is argued that presented formalism is convenient for practical calculations of Feynman integrals. Though fundamental results in renormalization theor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep10(2016)115