Sinc function representation and three-loop master diagrams

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Sinc Function Representation and Three-Loop Master Diagrams

We test the Sinc function representation, a novel method for numerically evaluating Feynman diagrams, by using it to evaluate the three-loop master diagrams. Analytical results have been obtained for all these diagrams, and we find excellent agreement between our calculations and the exact values. The Sinc function representation converges rapidly, and it is straightforward to obtain accuracies...

متن کامل

Fermions, Gauge Theories, and the Sinc Function Representation for Feynman Diagrams

We extend our new approach for numeric evaluation of Feynman diagrams to integrals that include fermionic and vector propagators. In this initial discussion we begin by deriving the Sinc function representation for the propagators of spin1 2 and spin-1 fields and exploring their properties. We show that the attributes of the spin-0 propagator which allowed us to derive the Sinc function represe...

متن کامل

Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs

We compute the master integrals for massless two-loop vertex graphs with three offshell legs. These master integrals are relevant for the QCD corrections to H → V V ∗ (where V = W , Z) and for two-loop studies of the triple gluon (and quark-gluon) vertex. We employ the differential equation technique to provide series expansions in ǫ for the various master integrals. The results are analytic an...

متن کامل

On one master integral for three-loop on-shell HQET propagator diagrams with mass

All three-loop on-shell HQET propagator integrals with a loop of a massive quark can be reduced to a set of master integrals, using integration by parts [1]. Some master integrals are known exactly, for other ones a few terms of ε expansions have been calculated [1]. In particular, for the integral I2, the 1/ε and O(1) terms are known. However, in some applications more terms of its ε expansion...

متن کامل

Threshold behavior of Feynman diagrams : the master two - loop

An asymptotic expansion of the two-loop two-point \master" diagram with two masses m and M, on the mass shell Q 2 = M 2 , is presented. The treatment of the non-analytical terms arising in the expansion around the branching point is discussed. Some details of the calculation of a new class of two-loop integrals are given.

متن کامل

ذخیره 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: Physical Review D

سال: 2001

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.63.085017