Renormalization of four-quark operators, effective theory, and the role of evanescent operators

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 53, Issue 1, 1996, Pages 374-388

  Adel, Kassa ^a   Yao, York Peng ^b  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2842582517     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.53.374     Document Type: Article

References (21)

1. K. Adel and York Peng Yao, Mod. Phys. Lett. A 8, 1679 (1993).
2. For more details, see K. Adel, Ph.D. thesis, University of Michigan, 1993. Because our intermediate calculational procedure is quite distinct from other’s and a comparison is not simple and because our final results agree with other’s when evanescent operators are taken into account, we shall just use the thesis for the necessary archival purpose.
3. M. Misiak, Nucl. Phys. B393, 23 (1993);
4. some of the earlier works are the following: B. Grinstein, R. Springer and M. B. Wise, Phys. Lett. B 202, 138 (1988)
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13. W. Zimmermann, in Lectures in Elementary Particles and Quantum Field Theory, edited by S. Deser (MIT Press, Cambridge, MA, 1971), Vol. I, p. 397.
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18. It has been brought to our attention that identities similar to Eq. (72) were derived independently by Giancarlo Cella, Giuseppe Curci, Giulia Ricciardi and Andrea Viceré, Phys. Lett. B 325, 227 (1994)
19. Giuseppe Curci, Giulia Ricciardi and Andrea Viceré, Nucl. Phys. B431, 417 (1994).
20. The results given here by these authors updated their previous calculation (last article of our Ref. [2]) and are now in agreement with the authors of Ref. [3]. Note added. Furthermore, M. Misiak redid his calculation and is also now in agreement with Ref. [3] [Nucl. Phys. B439, 461(E) (1995)]. As we pointed out in Ref. [4] and show here in the present article again, upon inclusion of evanescent operators, we reach the same result. Thus all calculations done with evanescent operators in various ways arrive at the same answer. The issue is not who made some “silly little algebraic mistakes.” Rather, one question we are raising here, controversial as it may be, is whether such evanescent contributions should or should not be included in order to obtain a mass independent subtraction scheme.
21. M. Veltman, schoonschip (unpublished).