Renormalization of the flavor-changing neutral currents

J. M. Soares; A. Barroso

doi:10.1103/PhysRevD.39.1973

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Renormalization of the flavor-changing neutral currents

J. M. Soares and A. Barroso

Centro de Física Nuclear, Universidade de Lisboa, Av. Gama Pinto 2, 1699 Lisboa, Portugal

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Phys. Rev. D 39, 1973 – Published 1 April, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.1973

Abstract

The flavor-changing amplitudes γ $q_{i}$ $q_{j}$ and ${Zq}_{i}$ $q_{j}$ are computed for off-shell particles and without approximations. The calculations are done in the ’t Hooft–Feynman gauge, and the on-shell renormalization scheme is used. The Ward-Slavnov-Taylor identities are derived and used to check the results. Putting the external quarks on shell, we found that the corresponding flavor-changing S-matrix elements are not renormalized, i.e., the sum of all counterterms vanishes. Using the renormalization scheme proposed by Sirlin the meaning of this cancellation is clarified.

References (26)

S. L. Glashow, Nucl. Phys. 22, 579 (1961); S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367.
S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D 2, 1285 (1970).
M. K. Gaillard and B. W. Lee, Phys. Rev. D 10, 897 (1974); M. K. Gaillard, B. W. Lee and R. E. Shrock, ibid. 13, 2674 (1976).
A. I. Vainshtein and I. B. Khriplovich, Pis'ma Zh. Eksp. Teor. Fiz. 18, 141 (1973) [JETP Lett. 18, 83 (1973)]; E. Ma, Phys. Rev. D 9, 3103 (1974).
R. E. Shrock and M. B. Voloshin, Phys. Lett. 87B, 375 (1979).
P. J. O'Donnell, Phys. Lett. B 175, 369 (1986); B. A. Campbell and P. J. O'Donnell, Phys. Rev. D 25, 1989 (1982).
N. G. Deshpande, P. Lo, J. Trampetic, G. Eilam and P. Singer, Phys. Rev. Lett. 59, 183 (1978); S. Bertolini, F. Borzumati and A. Maseiro, ibid. 59, 180 (1987).
E. Ma and A. Pramudita, Phys. Rev. D 22, 214 (1980).
T. Inami and C. S. Lim, Prog. Theor. Phys. 65, 297 (1981).
A. J. Buras, Phys. Rev. Lett. 46, 1354 (1981).
A. Axelrod, Nucl. Phys. B209, 349 (1982); K-I. Hikasa, Phys. Lett. 149B, 221 (1984); G. Eilam, Phys. Rev. D 28, 1202 (1983).
F. J. Gilman and M. B. Wise, Phys. Lett. 83B, 83 (1979).
J. Bernabéu, A. Santamaria and M. B. Gavela, Phys. Rev. Lett. 57, 1514 (1986); W-S. Hou, N. G. Deshpande, G. Eilam and A. Soni, ibid. 57, 1406 (1986).
N. G. Deshpande and G. Eilam, Phys. Rev. D 26, 2463 (1982).
N. G. Deshpande and M. Nazerimonfared, Nucl. Phys. B213, 390 (1983).
S-P. Chia, Phys. Lett. 130B, 315 (1983).
D. A. Ross and J. C. Taylor, Nucl. Phys. B51, 125 (1973); ibid. B58, 643(E) (1973); D. A. Ross, ibid B51, 116 (1973).
S. Sakakibara, Phys. Rev. D 24, 1149 (1981).
V. Ganapathi, T. Weiler, E. Laermann, I. Schmitt and P. M. Zerwas, Phys. Rev. D 27, 579 (1983).
A. Sirlin, Phys. Rev. D 22, 971 (1980).
A. Barroso, J. Pulido and J. C. Romão, Nucl. Phys. B267, 509 (1986).
C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
K. Aoki et al., Suppl. Prog. Theor. Phys. 73, 1 (1982).
C. Hamzaoui, Ph.D. thesis, University of Sussex, 1987.
J. M. Soares, Master's thesis, Universidade de Lisboa, 1988.
J. C. Romão and A. Barroso, Nucl. Phys. B272, 693 (1986).

[c1] S. L. Glashow, Nucl. Phys. 22, 579 (1961); S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367.

[c2] S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D 2, 1285 (1970).

[c3] M. K. Gaillard and B. W. Lee, Phys. Rev. D 10, 897 (1974); M. K. Gaillard, B. W. Lee and R. E. Shrock, ibid. 13, 2674 (1976).

[c4] A. I. Vainshtein and I. B. Khriplovich, Pis'ma Zh. Eksp. Teor. Fiz. 18, 141 (1973) [JETP Lett. 18, 83 (1973)]; E. Ma, Phys. Rev. D 9, 3103 (1974).

[c5] R. E. Shrock and M. B. Voloshin, Phys. Lett. 87B, 375 (1979).

[c6] P. J. O'Donnell, Phys. Lett. B 175, 369 (1986); B. A. Campbell and P. J. O'Donnell, Phys. Rev. D 25, 1989 (1982).

[c7] N. G. Deshpande, P. Lo, J. Trampetic, G. Eilam and P. Singer, Phys. Rev. Lett. 59, 183 (1978); S. Bertolini, F. Borzumati and A. Maseiro, ibid. 59, 180 (1987).

[c8] E. Ma and A. Pramudita, Phys. Rev. D 22, 214 (1980).

[c9] T. Inami and C. S. Lim, Prog. Theor. Phys. 65, 297 (1981).

[c10] A. J. Buras, Phys. Rev. Lett. 46, 1354 (1981).

[c11] A. Axelrod, Nucl. Phys. B209, 349 (1982); K-I. Hikasa, Phys. Lett. 149B, 221 (1984); G. Eilam, Phys. Rev. D 28, 1202 (1983).

[c12] F. J. Gilman and M. B. Wise, Phys. Lett. 83B, 83 (1979).

[c13] J. Bernabéu, A. Santamaria and M. B. Gavela, Phys. Rev. Lett. 57, 1514 (1986); W-S. Hou, N. G. Deshpande, G. Eilam and A. Soni, ibid. 57, 1406 (1986).

[c14] N. G. Deshpande and G. Eilam, Phys. Rev. D 26, 2463 (1982).

[c15] N. G. Deshpande and M. Nazerimonfared, Nucl. Phys. B213, 390 (1983).

[c16] S-P. Chia, Phys. Lett. 130B, 315 (1983).

[c17] D. A. Ross and J. C. Taylor, Nucl. Phys. B51, 125 (1973); ibid. B58, 643(E) (1973); D. A. Ross, ibid B51, 116 (1973).

[c18] S. Sakakibara, Phys. Rev. D 24, 1149 (1981).

[c19] V. Ganapathi, T. Weiler, E. Laermann, I. Schmitt and P. M. Zerwas, Phys. Rev. D 27, 579 (1983).

[c20] A. Sirlin, Phys. Rev. D 22, 971 (1980).

[c21] A. Barroso, J. Pulido and J. C. Romão, Nucl. Phys. B267, 509 (1986).

[c22] C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).

[c23] K. Aoki et al., Suppl. Prog. Theor. Phys. 73, 1 (1982).

[c24] C. Hamzaoui, Ph.D. thesis, University of Sussex, 1987.

[c25] J. M. Soares, Master's thesis, Universidade de Lisboa, 1988.

[c26] J. C. Romão and A. Barroso, Nucl. Phys. B272, 693 (1986).

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Renormalization of the flavor-changing neutral currents

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