BOKASUN: A fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams
نویسندگان
چکیده
We present the program BOKASUN for fast and precise evaluation of the Master Integrals of the two-loop self-mass sunrise diagram for arbitrary values of the internal masses and the external four-momentum. We use a combination of two methods: a Bernoulli accelerated series expansion and a Runge-Kutta numerical solution of a system of linear differential equations. PACS: 11.15.Bt
منابع مشابه
Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case
We present a double precision routine in Fortran for the precise and fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop sunrise graph for arbitrary momentum transfer in d = 2 and d = 4 dimensions. The routine implements the accelerated power series expansions obtained by solving the corresponding differential equations for the MIs at their singular points. Wi...
متن کاملNumerical evaluation of the general massive 2 - loop sunrise self - mass master integrals from differential equations
The system of 4 differential equations in the external invariant satisfied by the 4 master integrals of the general massive 2-loop sunrise self-mass diagram is solved by the Runge-Kutta method in the complex plane. The method, whose features are discussed in details, offers a reliable and robust approach to the direct and precise numerical evaluation of Feynman graph integrals. ——————————PACS 1...
متن کاملar X iv : h ep - p h / 02 11 17 8 v 1 1 2 N ov 2 00 2 1 Numerical evaluation of master integrals from differential equations ∗
The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. The particular case of the general massive 2-loop sunrise self-mass diagram is analyzed. The method offers a reliable and robust approach to the direct ...
متن کاملLaurent Series Expansion of Sunrise-type Diagrams Using Configuration Space Techniques *
We show that configuration space techniques can be used to efficiently calculate the complete Laurent series ε-expansion of sunrise-type diagrams to any loop order in D-dimensional space-time for any external momentum and for arbitrary mass configurations. For negative powers of ε the results are obtained in analytical form. For positive powers of ε including the finite ε 0 contribution the res...
متن کاملgolem95: A numerical program to calculate one-loop tensor integrals with up to six external legs
Golem95: a numerical program to calculate one-loop tensor integrals with up to six external legs Abstract We present a program for the numerical evaluation of form factors entering the calculation of one-loop amplitudes with up to six external legs. The program is written in Fortran95 and performs the reduction to a certain set of basis integrals numerically, using a formalism where inverse Gra...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer Physics Communications
دوره 180 شماره
صفحات -
تاریخ انتشار 2009