Rare decays <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>B</mi><mo>→</mo><mi>Kl</mi><mrow><mrow><mover><mrow><mi>l</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>B</mi><mo>→</mo><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow><mi>l</mi><mrow><mrow><mover><mrow><mi>l</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span>

W. Jaus; D. Wyler

doi:10.1103/PhysRevD.41.3405

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Rare decays $B \to Kl \bar{l}$ and $B \to K^{*} l \bar{l}$

W. Jaus and D. Wyler

Institut für Theoretische Physik Universität Zürich, Schönberggasse 9, CH-8001 Zürich, Switzerland

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Phys. Rev. D 41, 3405 – Published 1 June, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3405

Abstract

Using a recently developed relativistic constitutent quark model based on the light-front formalism, we evaluate the rare decays $B \to Kl \bar{l}$ and $B \to K^{*} l \bar{l}$ . The branching ratios vary between $10^{- 7}$ and $10^{- 6}$ for $m_{t}$ between 100 and 200 GeV. We also give the $K$ and $K^{*}$ energy distributions.

References (17)

B. A. Campbell and P. J. O'Donnell, Phys. Rev. D 25, 1989 (1982) P. J. O'Donnell, Phys. Lett. B 175, 369 (1986)
D. Wyler, in PSI Spring School on Heavy Flavor Physics, 1988, edited by M. Locher (PSI report, 1988) W. S. Hou, in Proceedings of the XXIV Conference on High Energy Physics, Munich, West Germany, 1988, edited by R. Kotthaus and J. Kühn (Springer, Berlin, 1989) P. J. O'Donnell, Toronto Report No. UTPT-89-27 (unpublished)
S. Bertolini et al., Phys. Rev. Lett. 59, 180 (1987) N. G. Deshpande et al., ibid. 59, 183 (1987) B. Grinstein et al., Phys. Lett. B 202, 138 (1988) R. Grigjanis et al., ibid. 213, 355 (1988) ibid.224, 209 (1989)
S. L. Glashow, Nucl. Phys. 22, 579 (1961) S. Weinberg, Phys. Rev. Lett. 19, 1264 (1987) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968) S. Glashow et al., Phys. Rev. D 2, 1285 (1970) M. K. Gaillard and B. W. Lee, ibid. 10, 897 (1974) M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973) T. Inami and C. S. Li, ibid. 65, 297 (1981) ibid.65, 1772 (1981)
W. Jaus, preceding paper, Phys. Rev. D 41, 3394 (1990)
B. Grinstein, M. B. Wise, and M. Savage, Nucl. Phys. B319, 271 (1989)
R. Grigjanis, P. J. O'Donnell, M. Sutherland, and H. Navelet, Phys. Lett. B 223, 239 (1989)
N. Deshpande and J. Trampetic, Phys. Rev. Lett. 60, 2583 (1989)
M. Bauer, B. Stech, and M. Wirbel; Z. Phys. C 34, 103 (1987)
[15,16] T. Altomari and L. Wolfenstein, Phys. Rev. D 37, 681 (1988)
Mark Sutherland (private communication)
P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)
P. L. Chung, F. Coester, and W. Polyzou, Phys. Lett. B 205, 545 (1988)
M. V. Terent'ev, Yad. Fiz. 24, 207 (1976) [Sov. J. Nucl. Phys. 24, 106 (1976)] V. B. Berestetsky and M. V. Terent'ev, Yad. Fiz. 24, 1044 (1976) [Sov. J. Nucl. Phys. 24, 547 (1976)] V. B. BerestetskyM. V. Terent'evYad. Fiz.25, 653 (1977) [Sov. J. Nucl. Phys. 25, 347 (1977)]
N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)
S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)
E. A. Paschos and U. Türke, Phys. Rep. 178, 145 (1989)

[c1] B. A. Campbell and P. J. O'Donnell, Phys. Rev. D 25, 1989 (1982) P. J. O'Donnell, Phys. Lett. B 175, 369 (1986)

[c2] D. Wyler, in PSI Spring School on Heavy Flavor Physics, 1988, edited by M. Locher (PSI report, 1988) W. S. Hou, in Proceedings of the XXIV Conference on High Energy Physics, Munich, West Germany, 1988, edited by R. Kotthaus and J. Kühn (Springer, Berlin, 1989) P. J. O'Donnell, Toronto Report No. UTPT-89-27 (unpublished)

[c3] S. Bertolini et al., Phys. Rev. Lett. 59, 180 (1987) N. G. Deshpande et al., ibid. 59, 183 (1987) B. Grinstein et al., Phys. Lett. B 202, 138 (1988) R. Grigjanis et al., ibid. 213, 355 (1988) ibid.224, 209 (1989)

[c4] S. L. Glashow, Nucl. Phys. 22, 579 (1961) S. Weinberg, Phys. Rev. Lett. 19, 1264 (1987) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968) S. Glashow et al., Phys. Rev. D 2, 1285 (1970) M. K. Gaillard and B. W. Lee, ibid. 10, 897 (1974) M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973) T. Inami and C. S. Li, ibid. 65, 297 (1981) ibid.65, 1772 (1981)

[c5] W. Jaus, preceding paper, Phys. Rev. D 41, 3394 (1990)

[c6] B. Grinstein, M. B. Wise, and M. Savage, Nucl. Phys. B319, 271 (1989)

[c7] R. Grigjanis, P. J. O'Donnell, M. Sutherland, and H. Navelet, Phys. Lett. B 223, 239 (1989)

[c8] N. Deshpande and J. Trampetic, Phys. Rev. Lett. 60, 2583 (1989)

[c9] M. Bauer, B. Stech, and M. Wirbel; Z. Phys. C 34, 103 (1987)

[c10] [15,16] T. Altomari and L. Wolfenstein, Phys. Rev. D 37, 681 (1988)

[c11] Mark Sutherland (private communication)

[c12] P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)

[c13] P. L. Chung, F. Coester, and W. Polyzou, Phys. Lett. B 205, 545 (1988)

[c14] M. V. Terent'ev, Yad. Fiz. 24, 207 (1976) [Sov. J. Nucl. Phys. 24, 106 (1976)] V. B. Berestetsky and M. V. Terent'ev, Yad. Fiz. 24, 1044 (1976) [Sov. J. Nucl. Phys. 24, 547 (1976)] V. B. BerestetskyM. V. Terent'evYad. Fiz.25, 653 (1977) [Sov. J. Nucl. Phys. 25, 347 (1977)]

[c15] N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)

[c16] S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)

[c17] E. A. Paschos and U. Türke, Phys. Rep. 178, 145 (1989)

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Rare decays $B \to Kl \bar{l}$ and $B \to K^{*} l \bar{l}$

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Rare decays B→Kll¯ and B→K*ll¯

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References (17)

Rare decays $B \to Kl \bar{l}$ and $B \to K^{*} l \bar{l}$