Loop integration results using numerical extrapolation for a non-scalar integral

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 534, Issue 1-2, 2004, Pages 269-273

  De Doncker, E ^a   Shimizu, Y ^b   Fujimoto, J ^b   Yuasa, F ^b   Kaugars, K ^a   Cucos, L ^a   Van Voorst, J ^a  

^a Parkview Campus   (United States)

^b HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

Author keywords

Extrapolation; Non scalar four point function; Numerical integration; One loop correction

Indexed keywords

ALGORITHMS; CODES (SYMBOLS); EXTRAPOLATION; INTEGRAL EQUATIONS; MATRIX ALGEBRA; NUMERICAL METHODS; POLYNOMIALS;

LOOP INTEGRATION; NON-SCALAR FOUR POINT FUNCTION; NUMERICAL INTEGRATION; ONE-LOOP CORRECTION;

NUCLEAR INSTRUMENTATION;

EID: 8344290460     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2004.07.099     Document Type: Conference Paper

References (14)

1. J. Fujimoto, Y. Shimizu, K. Kato, Y. Oyanagi, Prog. Theor. Phys. 87 (5) (1992) 1233.
2. A. Ferroglia, A. Passera, G. Passarino, S. Uccirati, Nucl. Phys. B 650 (2003) 162 (arXiv:hep-ph/0209219).
3. E. de Doncker, Y. Shimizu, J. Fujimoto, F. Yuasa, Comput. Phys. Comm. 159 (2004) 145.
4. P. Wynn, Math. Tables Aids Comput. 10 (1956) 91.
5. G. Bélanger, F. Boudjema, J. Fujimoto, T. Ishikawa, T. Kaneko, Y. Shimizu, hep-ph/0308080.
6. R. Piessens, E. de Doncker, C.W. Überhuber, D.K. Kahaner, Springer Series in Computational Mathematics, Springer, Berlin, 1983.
7. http://www.cs.wmich.edu/parint, PARINT web site.
8. http://www-unix.mcs.anl.gov/mpi/index.html, MPI website.
9. J. Berntsen, T.O. Espelid, A. Genz, A. ACM Trans. Math. Software 17 (1991) 437.
10. T. Binoth, G. Heinrich, N. Kauer, hep-ph/0210023.
11. L. Cucos, Ph.D. Dissertation, Western Michigan University, November 2003.
12. L. De Ridder, P. Van Dooren, J. Comput. Appl. Math. 2 (3) (1976) 207.
13. W. Kahan, Commun. ACM 8 (1965) 40.
14. N.J. Higham, SIAM J. Sci. Comput. 14 (4) (1993) 783.