Effective Lagrangians and low energy photon-photon scattering

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 57, Issue 4, 1998, Pages 2443-2447

  Repko, Wayne W ^c  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b University of Wisconsin ^*  (United States)

^c MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000559603     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.57.2443     Document Type: Article

References (14)

1. H. Euler, Ann. Phys. (Leipzig) 26, 398 (1936).
2. W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
3. S. Weinberg, Physica A 96, 327 (1979); Proceedings of the XXVI International Conference on High Energy Physics, edited by J. R. Sanford (AIP Press, New York, 1993), p. 352.
4. University of Texas Theory Group report UTTG-05-97, hep-th/97012027 (1997).
5. R. Karplus and M. Neuman, Phys. Rev. 80, 380 (1950).
6. B. DeTollis, Nuovo Cimento 35, 1182 (1965).
7. A first try along these lines was made by J. Halter, Phys. Lett. B 316, 155 (1993). Note that the vertex function (Formula presented) given in the Appendix contains a misprint: the first terms in lines 7, 9, 11, 13, 15 and 17 should not be multiplied by 2.
8. M. J. G. Veltman, “SCHOONSCHIP A Program for Symbol Handling, ” University of Michigan, report, 1984 (unpublished).
9. J. A. M. Vermaseren, “The Symbolic manipulation program FORM, ” .
10. C. Kao and D. A. Dicus, LOOP, a FORTRAN program for evaluating loop integrals based on the following two papers: G. ’t Hooft and M. Veltman, Nucl. Phys. B153, 365 (1979).
11. Nucl. Phys.and G. Passarino and M. Veltman, B160, 151 (1979).
12. There are also contributions of order (Formula presented) arising from the one-loop corrections to the box diagram. See F. Ravndal, “Applications of Effective Lagrangians,” hep-ph/9708449.
13. V. I. Ritus, Proc. Lebed. Phys. Inst. 168, 1 (1986).
14. M. Reuter, M. G. Schmidt, and C. Schubert, Ann. Phys. (N.Y.) 259, 313 (1997). This effect multiplies Eqs. (1), (10) and the first term of (12) by (Formula presented). The corrections we discuss exceed this correction when (Formula presented).