منابع مشابه
Lectures on multiloop calculations
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Theory, and massive on-shell diagrams) up to 3 loops. Integrationby-parts recurrence relations are used to reduce them to linear combinations of basis integrals. Non-trivial basis integrals have to be calculated by some other method, e.g., using Gegenbauer polynomial technique. Many of them are exp...
متن کاملProgress in multiloop calculations
Here I briefly summarize the talks about multiloop calculations [1,2,3,4,5,6,7] which were presented at the parallel session “Simulations and Computations in Theoretical Physics and Phenomenology” at the VIII International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT’2002), June 24–28, 2002, Moscow. In order to have some rough classification of these contribu...
متن کاملMultiloop calculations in HQET
Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a heavy quark have been constructed and implemented. These algorithms (based on integration by parts recurrence relations) reduce an arbitrary diagram to a combination of a finite number of basis integrals. Here I discuss various ways to calculate non-trivial bases integrals, either exactly or as ex...
متن کاملAlgebraic algorithms for multiloop calculations
The concept of algebraic algorithms for multiloop integrals [1]–[4] has brought about an industry of analytical multiloop calculations, so it would not be inappropriate to reminisce upon the anguish of its birth [1], given a non-negligible amount of research funds being misallocated through misinformation. Back in 1979, when perturbative QCD, IBM, and the USSR were in full bloom, the first proj...
متن کاملMultiloop Calculations in Heavy Quark Effective Theory *
We review algorithmic methods for two–loop calculations in HQET, and the analogous methods for on–shell QCD, needed for matching HQET to QCD.
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2004
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x04016775