AUTOMATIC COMPUTATION OF 3-LOOP 2-POINT FUNCTIONS IN LARGE MOMENTUM EXPANSION

Citation
Kg. Chetyrkin et al., AUTOMATIC COMPUTATION OF 3-LOOP 2-POINT FUNCTIONS IN LARGE MOMENTUM EXPANSION, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 389(1-2), 1997, pp. 354-356
Citations number
10
Categorie Soggetti
Nuclear Sciences & Tecnology","Physics, Particles & Fields","Instument & Instrumentation",Spectroscopy
ISSN journal
01689002
Volume
389
Issue
1-2
Year of publication
1997
Pages
354 - 356
Database
ISI
SICI code
0168-9002(1997)389:1-2<354:ACO32F>2.0.ZU;2-H
Abstract
We discuss the calculation of two-point three-loop functions with an a rbitrary number of massive propagators and one large external momentum . The relevant subdiagrams are generated automatically. The resulting massless two-point integrals and massive tadpoles are transformed on-l ine to FORM-expressions ready to be used by existing FORM packages whi ch calculate them analytically. As an example we compute the quartic m ass corrections to the photon polarization function.