Salvatore Pincherle the pioneer of the Mellin-Barnes integrals
نویسندگان
چکیده
Salvatore Pincherle the pioneer of the Mellin-Barnes integrals Francesco MAINARDI, Gianni PAGNINI (1) Department of Physics, University of Bologna, and INFN, Via Irnerio 46, I-40126 Bologna, Italy Corresponding Author; E-mail: [email protected] ENEA: Italian Agency for New Technologies, Energy and the Environment Via Martiri di Monte Sole 4, I-40129 Bologna, Italy E-mail: [email protected]
منابع مشابه
Analytic integration of real-virtual counterterms in NNLO jet cross sections II
We present analytic expressions of all integrals required to complete the explicit evaluation of the real-virtual integrated counterterms needed to define a recently proposed subtraction scheme for jet cross sections at next-to-next-to-leading order in QCD. We use the Mellin-Barnes representation of these integrals in 4 − 2ǫ dimensions to obtain the coefficients of their Laurent expansions arou...
متن کاملOn the Resolution of Singularities of Multiple Mellin–Barnes Integrals
One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m E-mail: [email protected] E-mail: [email protected]
متن کاملAutomatized analytic continuation of Mellin-Barnes integrals
I describe a package written in MATHEMATICA that automatizes typical operations performed during evaluation of Feynman graphs with Mellin-Barnes (MB) techniques. The main procedure allows to analytically continue a MB integral in a given parameter without any intervention from the user and thus to resolve the singularity structure in this parameter. The package can also perform numerical integr...
متن کاملAMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d = 4 − 2ε dimensions. It may be applied for tadpoles as well as for multileg and multiloop scalar and tensor integrals. AMBRE uses a loopby-loop approach and aims at lowest dimensions of the final MB representations. It integrates the package MB for the determination of the singularity structure i...
متن کاملFeynman integrals and multiple polylogarithms
In this talk I review the connections between Feynman integrals and multiple polylogarithms. After an introductory section on loop integrals I discuss the Mellin-Barnes transformation and shuffle algebras. In a subsequent section multiple polylogarithms are introduced. Finally, I discuss how certain Feynman integrals evaluate to multiple polylogarithms.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007