Factorization and decay constants <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>f</mi></mrow><mrow><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mi>*</mi></mrow></msubsup></mrow></mrow></msub></mrow></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>f</mi></mrow><mrow><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow></mrow></msub></mrow></math></span>

Dae Sung Hwang; Yong-Yeon Keum

doi:10.1103/PhysRevD.61.073003

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Factorization and decay constants $f_{D_{s}^{*}}$ and $f_{D_{s}}$

Dae Sung Hwang^*

Yong-Yeon Keum^†

Department of Physics, Sejong University, Seoul 143-747, Korea

Theory Group, KEK, Tsukuba, Ibaraki 305-0801 Japan

^*Email address: dshwang@kunja.sejong.ac.kr
^†Email address: keum@ccthmail.kek.jp

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Phys. Rev. D 61, 073003 – Published 1 March, 2000

DOI: https://doi.org/10.1103/PhysRevD.61.073003

Abstract

We calculate the decay constants of $D_{s}$ and $D_{s}^{*}$ with $B^{0} \to D^{+} l^{-} ν$ and $B^{0} \to D^{+} D_{s}^{- (*)}$ decays. In our analysis we take the factorization method, considering nonfactorizable term contributions, and used two different form-factor behaviors (constant and monopole-type) for $F_{0} {(q}^{2}) .$ We also consider the QCD-penguin and electroweak-penguin contributions in hadronic decays within the naive dimensional reduction renormalization scheme at next-to-leading order calculation. We estimate the decay constant of the $D_{s}$ meson to be $233 \pm 49 MeV$ for a (pole/pole)-type form factor and $255 \pm 54 MeV$ for a (pole/constant)-type form factor. For the $D_{s}^{*}$ meson, we get $f_{D_{s}^{*}} = 346 \pm 82 MeV,$ and $f_{D_{s}^{*}} {/ f}_{D_{s}} = 1.43 \pm 0.45$ for a (pole/constant)-type form factor.

References (31)

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[c1] J. L. Rosner, in Particles and Fields 3, Proceedings of the 1988 Banff Summer Institute, Banff, Alberta, Canada, edited by A. N. Kamal and F. C. Khanna (World Scientific, Singapore, 1989), p. 395.

[c2] D. Bortoletto and S. Stone, Phys. Rev. Lett. 65, 2951 (1990).

[c3] M. Neubert, V. Rieckert, B. Stech, and Q. P. Xu, in Heavy Flavours, edited by A. J. Buras and M. Lindner (World Scientific, Singapore, 1992).

[c4] Y.-Y. Keum, hep-ph/9810369.

[c5] M. Gourdin, A. N. Kamal, Y.-Y. Keum, and X. Y. Pham, Phys. Lett. B 333, 507 (1994).

[c6] H. Y. Cheng, H. N. Li, and K. C. Yang, Phys. Rev. D 60, 094005 (1999).

[c7] M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985); ibid.M. Bauer and M. Wirbel, 42, 671 (1989).

[c8] J. G. Korner and G. A. Schuler, Z. Phys. C 38, 511 (1988); ibid.41, 690(E) (1989).

[c9] N. Isgur and M. B. Wise, Phys. Lett. B 232, 113 (1989); ibid.237, 527 (1990).

[c10] M. Neubert and V. Rieckert, Nucl. Phys. B382, 97 (1992).

[c11] Particle Data Group, R. M. Barnett et al., Phys. Rev. D 54, 1 (1996).

[c12] S. Stone, in Proceedings of NATO Advanced Study Institute on Techniques and Concepts of High Energy Physics, Virgin Islands, 1996, hep-ph/9610305.

[c13] A. J. Buras, Nucl. Phys. B434, 606 (1995).

[c14] N. G. Deshpande and X.-G. He, Phys. Rev. Lett. 74, 26 (1995).

[c15] R. Fleischer, Z. Phys. C 58, 483 (1993); ibid.62, 81 (1994).

[c16] A. J. Buras and L. Silverstini, Nucl. Phys. B548, 293 (1999).

[c17] T. E. Browder, K. Honscheid, and D. Pedrini, Annu. Rev. Nucl. Part. Sci. 46, 395 (1996).

[c18] D. S. Hwang and G.-H. Kim, Phys. Rev. D 55, 6944 (1997).

[c19] H. Y. Cheng and K. C. Yang, Phys. Rev. D 59, 092004 (1999).

[c20] S. Capstick and S. Godfrey, Phys. Rev. D 41, 2856 (1990).

[c21] C. A. Dominguez, in Proceedings of the Third Workshop on Tau-Charm Factory, Marbella, Spain, 1993.

[c22] UKQCD Collaboration, R. M. Boxter et al., Phys. Rev. D 49, 1594 (1994).

[c23] C. W. Bernard, J. N. Labrenz, and A. Soni, Phys. Rev. D 49, 2536 (1994).

[c24] MILC Collaboration, C. Bernard et al., hep-ph/9709328.

[c25] D. Becirevic, Ph. Boucaud, J. P. Leroy, V. Lubicz, G. Martinelli, F. Mescia, and F. Rapuano, Phys. Rev. D 60, 074501 (1999).

[c26] WA75 Collaboration, S. Aoki et al., Prog. Theor. Phys. 89, 131 (1993).

[c27] CLEO Collaboration, D. Acosta et al., Phys. Rev. D 49, 5690 (1994).

[c28] CLEO Collaboration, D. Gibaut et al., CLEO CONF 95-22 EPS0184 (1995).

[c29] BES Collaboration, J. Z. Bai et al., Phys. Rev. Lett. 74, 4599 (1995).

[c30] E653 Collaboration, K. Kodama et al., Phys. Lett. B 382, 299 (1996).

[c31] CLEO Collaboration, M. Chadha et al., Phys. Rev. D 58, 32002 (1998).

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Factorization and decay constants $f_{D_{s}^{*}}$ and $f_{D_{s}}$