An approach toward the numerical evaluation of multi-loop Feynman diagrams
نویسندگان
چکیده
منابع مشابه
An Approach Toward the Numerical Evaluation of Multi-Loop Feynman Diagrams
A scheme for systematically achieving accurate numerical evaluation of multi-loop Feynman diagrams is developed. This shows the feasibility of a project aimed to produce a complete calculation for two-loop predictions in the Standard Model. As a first step an algorithm, proposed by F. V. Tkachov and based on the so-called generalized Bernstein functional relation, is applied to one-loop multi-l...
متن کاملAlgebraic-Numerical Evaluation of Feynman Diagrams: Two-Loop Self-Energies
A recently proposed scheme for numerical evaluation of Feynman diagrams is extended to cover all two-loop two-point functions with arbitrary internal and external masses. The adopted algorithm is a modification of the one proposed by F. V. Tkachov and it is based on the so-called generalized Bernstein functional relation. On-shell derivatives of self-energies are also considered and their infra...
متن کاملSolving multi-loop Feynman diagrams using light-front coordinates
Multi-loop Feynman diagrams pose a serious challenge, especially in the massive case where multiple scales arise. Apart from the successes of high-order expansions in α in QED, which provide a stringent test of quantum field theory, Feynman diagrams are also the way in which we understand the most of field theory, since it allows us to quantify it. They form the basis for our understanding of m...
متن کاملAlgorithmic Calculation of Two-loop Feynman Diagrams *
In a recent paper [1] a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared. The Taylor coefficients are obtained from the original diagram by differentiation and putting the external momenta equal to zero. It was demonstrated that by a certain conformal mapping and subsequent resummation by means of...
متن کاملString derivation of two-loop Feynman diagrams∗
We briefly review the technology involved in extracting the field– theory limit of multiloop bosonic string amplitudes, and we apply it to the evaluation of simple two-loop diagrams involving scalars and gauge bosons.
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: Nuclear Physics B
سال: 2001
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(01)00528-4