<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>B</mi><mo>→</mo><mi>ρ</mi><mi>l</mi><mrow><msub><mover><mrow><mi>ν</mi></mrow><mrow><mi>¯</mi></mrow></mover><mrow><mi>l</mi></mrow></msub></mrow></math></span> form factors

Damir Becirevic

doi:10.1103/PhysRevD.54.6842

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$B \to ρ l {\bar{ν}}_{l}$ form factors

Damir Becirevic^*

Laboratoire de Physique Théorique et Hautes Energies, Université de Paris XI, Bâtiment 211, 91405 Orsay Cedex, France

^*Electronic address: damir@qcd.th.u-psud.fr

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Phys. Rev. D 54, 6842 – Published 1 December, 1996

DOI: https://doi.org/10.1103/PhysRevD.54.6842

Abstract

The bounds on the form factors for $B \to ρ l {\bar{ν}}_{l}$ decay are studied. Constrained by lattice data and a constrained conformal mapping, more information can be obtained for the $A_{1} (q^{2})$ form factor which dominates the decay rate at large $q^{2}$ . Specifically, we confirm a moderately increasing behavior of this form factor.

References (33)

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CLEO Collaboration, R. Ammar et al., conference contribution CLEO CONF 95-09, 1995 (eps 0165)
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R. Casalbuoni, A. Deandrea, N. Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Lett. B 299, 139 (1993)
R. Casalbuoni, A. Deandrea, N. Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. (to be published)
G. Martinelli, in The Heart of the Matter from Nuclear Interactions to Quark Gluon Dynamics, Proceedings of the 6th Rencontres de Blois, edited by J. F. Mathiot (Editions Frontières, Gif-sur-Yvette, 1995), p. 27
Z. Ligeti and M. Wise, Phys. Rev. D 53, 4937 (1996)
ELC Collaboration, A. Abada et al., Nucl. Phys. B416, 675 (1994)
APE Collaboration, C. R. Alton et al., Phys. Lett. B 345, 513 (1995)
S. Narison, Phys. Lett. B 283, 384 (1992)
S. Narison, Phys. Lett. B 345, 116 (1995)
P. Ball, Phys. Rev. D 48, 3190 (1993)
A. Ali, V. M. Braun, and H. Simma, Z. Phys. C 63, 437 (1994)
P. Ball, presented at 31ème Rencontres de Moriond, 1996, Report No. hep-ph/9605233 (unpublished)
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W. Jaus, Phys. Rev. D 44, 2851 (1991)
D. Melikhov, Phys. Rev. D 53, 2460 (1996) Phys. Lett. B 380, 363 (1996)
R. N. Faustov, V. O. Galkin, and A. Yu. Mishurov, Phys. Rev. D 53, 6302 (1996)
S. Okubo and I. F. Shih, Phys. Rev. D 4, 2020 (1971)
C. Bourely, B. Machet, and E. de Rafael, Nucl. Phys. B189, 157 (1981)
G. G. Boyd, B. Grinstein, and R. F. Lebed, Phys. Lett. B 353, 306 (1995)
E. de Rafael and J. Taron, Phys. Rev. D 50, 373 (1994)
I. Caprini, Z. Phys. C 61, 651 (1994)
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G. Burdman and J. Kambor, Report No. FERMILAB-Pub-96/033-T, IPNO/TH 96-09, hep-ph/9602353 (unpublished)

[c1] E. H. Thorndike, in Proceedings of the International Europhysics Conference on HEP, Bruxelles, '95, edited by J. Lemonne (World Scientific, Singapore, 1996), p. 425

[c2] CLEO Collaboration, R. Ammar et al., conference contribution CLEO CONF 95-09, 1995 (eps 0165)

[c3] M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985)

[c4] N. Isgur et al., Phys. Rev. D 39, 799 (1989) N. Isgur and D. Scora, ibid. 40, 1491 (1989)

[c5] R. Casalbuoni, A. Deandrea, N. Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Lett. B 299, 139 (1993)

[c6] R. Casalbuoni, A. Deandrea, N. Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. (to be published)

[c7] G. Martinelli, in The Heart of the Matter from Nuclear Interactions to Quark Gluon Dynamics, Proceedings of the 6th Rencontres de Blois, edited by J. F. Mathiot (Editions Frontières, Gif-sur-Yvette, 1995), p. 27

[c8] Z. Ligeti and M. Wise, Phys. Rev. D 53, 4937 (1996)

[c9] ELC Collaboration, A. Abada et al., Nucl. Phys. B416, 675 (1994)

[c10] APE Collaboration, C. R. Alton et al., Phys. Lett. B 345, 513 (1995)

[c11] S. Narison, Phys. Lett. B 283, 384 (1992)

[c12] S. Narison, Phys. Lett. B 345, 116 (1995)

[c13] P. Ball, Phys. Rev. D 48, 3190 (1993)

[c14] A. Ali, V. M. Braun, and H. Simma, Z. Phys. C 63, 437 (1994)

[c15] P. Ball, presented at 31ème Rencontres de Moriond, 1996, Report No. hep-ph/9605233 (unpublished)

[c16] UKQCD Collaboration, J. M. Flynn et al., Nucl. Phys. B461, 327 (1996)

[c17] R. Aleksan, A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Phys. Rev. D 51, 6235 (1995)

[c18] V. M. Braun, in Proceedings of the International Europhysics Conference on HEP, Bruxelles, '95 [[1]]

[c19] W. Jaus, Phys. Rev. D 44, 2851 (1991)

[c20] D. Melikhov, Phys. Rev. D 53, 2460 (1996) Phys. Lett. B 380, 363 (1996)

[c21] R. N. Faustov, V. O. Galkin, and A. Yu. Mishurov, Phys. Rev. D 53, 6302 (1996)

[c22] S. Okubo and I. F. Shih, Phys. Rev. D 4, 2020 (1971)

[c23] C. Bourely, B. Machet, and E. de Rafael, Nucl. Phys. B189, 157 (1981)

[c24] G. G. Boyd, B. Grinstein, and R. F. Lebed, Phys. Lett. B 353, 306 (1995)

[c25] E. de Rafael and J. Taron, Phys. Rev. D 50, 373 (1994)

[c26] I. Caprini, Z. Phys. C 61, 651 (1994)

[c27] I. Caprini and M. Neubert, Phys. Lett. B 380, 376 (1996)

[c28] E. Carlson, J. Milana, N. Isgur, T. Mannel, and W. Roberts, Phys. Rev. Lett. B. 299, 133 (1993) A. Falk, M. Luke, and M. Wise, ibid. 299, 123 (1993) B. Grinstein and P. Mende, ibid. 299, 127 (1993) C. Dominguez, J. Körner, and D. Pirjol, ibid. 301, 373 (1993)

[c29] G. G. Boyd, and B. Grinstein, R. F. Lebed, Phys. Rev. Lett. 74, 4603 (1995)

[c30] L. Lellouch, Nucl. Phys. B (to be published)

[c31] D. Becirevic, Report No. LPTHE 96/14, hep-ph/9603298 (unpublished)

[c32] S. Güsken, K. Schilling, and G. Siegert, in Lattice '95, Proceedings of the International Symposium, Melbourne, Australia, edited by T. D. Kiev , [Nucl. Phys. B (Proc. Suppl.) 47, 485 (1996)]

[c33] G. Burdman and J. Kambor, Report No. FERMILAB-Pub-96/033-T, IPNO/TH 96-09, hep-ph/9602353 (unpublished)

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$B \to ρ l {\bar{ν}}_{l}$ form factors

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B→ρlν¯l form factors

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References (33)

$B \to ρ l {\bar{ν}}_{l}$ form factors