scholarly journals Optimizing the Mellin--Barnes Approach to Numerical Multiloop Calculations

2019 ◽  
Vol 50 (11) ◽  
pp. 1993 ◽  
Author(s):  
I. Dubovyk ◽  
J. Gluza ◽  
T. Riemann
Keyword(s):  
Multiloop Calculations

scholarly journals Multiloop calculations in the string-inspired formalism: The single spinor loop in QED

1996 ◽  
Vol 53 (4) ◽  
pp. 2150-2159 ◽  
Author(s):  
Michael G. Schmidt ◽  
Christian Schubert
Keyword(s):  
Multiloop Calculations

Multiloop calculations in theσmodel

1976 ◽  
Vol 13 (6) ◽  
pp. 1621-1641 ◽  
Author(s):  
M. Margulies
Keyword(s):  
Multiloop Calculations

Uniqueness method: Multiloop calculations in QCD

1987 ◽  
Vol 73 (3) ◽  
pp. 1264-1274 ◽  
Author(s):  
D. I. Kazakov ◽  
A. V. Kotikov
Keyword(s):  
Uniqueness Method ◽  
Multiloop Calculations

Correlation Functions in String Multiloop Calculations

1989 ◽  
Vol 11 (3) ◽  
pp. 371-375
Author(s):  
Zhang De-hai ◽  
Huang Chao-shang
Keyword(s):  
Correlation Functions ◽  
Multiloop Calculations

Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system

1989 ◽  
Vol 55 (3) ◽  
pp. 381-408 ◽  
Author(s):  
S.G. Gorishny ◽  
S.A. Larin ◽  
L.R. Surguladze ◽  
F.V. Tkachov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Multiloop Calculations

scholarly journals LECTURES ON MULTILOOP CALCULATIONS

2004 ◽  
Vol 19 (04) ◽  
pp. 473-520 ◽  
Author(s):  
ANDREY GROZIN
Keyword(s):  
Heavy Quark ◽  
Hypergeometric Functions ◽  
Recurrence Relations ◽  
Effective Theory ◽  
Heavy Quark Effective Theory ◽  
Linear Combinations ◽  
Integration By Parts ◽  
Methods Of Calculation ◽  
Gegenbauer Polynomial ◽  
Multiloop Calculations

I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Theory, and massive on-shell diagrams) up to three loops. Integration-by-parts recurrence relations are used to reduce them to linear combinations of basis integrals. Nontrivial basis integrals have to be calculated by some other method, e.g. using Gegenbauer polynomial technique. Many of them are expressed via hypergeometric functions; in the massless and HQET cases, their indices tend to integers at ε→0. I discuss the algorithm of their expansion in ε, in terms of multiple ζ values.

Multiloop calculations in covariant superstring theory

1987 ◽  
Vol 192 (1-2) ◽  
pp. 95-102 ◽  
Author(s):  
Erik Verlinde ◽  
Herman Verlinde
Keyword(s):  
Superstring Theory ◽  
Multiloop Calculations
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