Improved measurement of the pseudoscalar decay constant <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>

^*Permanent address: University of Texas, Austin, TX 78712.
^†Permanent address: Lawrence Livermore National Laboratory, Livermore, CA 94551.
^‡Permanent address: BINP, RU-630090 Novosibirsk, Russia.
^§Permanent address: Yonsei University, Seoul 120-749, Korea.
^∥Permanent address: Brookhaven National Laboratory, Upton, NY 11973.

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Phys. Rev. D 58, 032002 – Published 22 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.032002

Abstract

We present a new determination of $f_{D_{s}}$ using 5 million $e^{+} e^{-} \to c \bar{c}$ events obtained with the CLEO II detector. Our value is derived from our new measured ratio $Γ {(D}_{s}^{+} \to μ^{+} ν) / Γ {(D}_{s}^{+} \to φ π^{+}) = 0.173 \pm 0.023 \pm 0.035$ . Using $B {(D}_{s}^{+} \to φ π^{+}) = (3.6 \pm 0.9)$ %, we extract $f_{D_{s}} = (280 \pm 19 \pm 28 \pm 34) MeV$ . We compare this result with various model calculations.

References (23)

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.
Whenever a specific reaction or final state is mentioned, consideration of the charge conjugate reaction or final state is also implied.
Particle Data Group, R. M. Barnett , Phys. Rev. D 54, 1 (1996).
D. Acosta , Phys. Rev. D 49, 5690 (1994).
S. Aoki , Prog. Theor. Phys. 89, 131 (1993). The WA75 value was based on the 1992 PDG value of $B {(D}_{s}^{+} \to K^{+} K^{-} π^{+}) = (3.9 \pm 0.4) %$ and $B {(D}^{o} \to μ ν X) = (8.8 \pm 2.5) %$ . We scale the WA75 result to be $f_{D_{s}} = (238 \pm 47 \pm 21 \pm 43) MeV$ using updated PDG [3] values of $B {(D}_{s}^{+} \to K^{+} K^{-} π^{+}) = (4.8 \pm 0.7) %$ and $B {(D}^{o} \to e ν X) = (7.7 \pm 1.2) %$ which we use for $B {(D}^{o} \to μ ν X)$ , after reducing the value by 3% to account for the smaller muon phase space.
J. Z. Bai , Phys. Rev. Lett. 74, 4599 (1995).
K. Kodama , Phys. Lett. B 382, 299 (1996).
CLEO Collaboration, Y. Kubota , Nucl. Instrum. Methods Phys. Res. A 320, 66 (1992).
CLEO Collaboration, M. S. Alam et al., in ICHEP ’96, Proceedings of the 28th International Conference on High Energy Physics, Warwaw, Poland, edited by Z. Ajduk and A. Wroblewski (World Scientific, Singapore, 1997).
D. Atwood and W. Marciano, Phys. Rev. D 41, 1736 (1990).
To use our $D^{* +} \to π^{+} D^{o}$ , $D^{o} \to K^{-} π^{+}$ events here, we eliminate the measurements of the fast $π^{+}$ from the $D^{o}$ decay from both the tracking chambers and calorimeter to simulate the neutrino, and call the $K^{-}$ a muon.
The event sample used is the fully reconstructed sample of $D^{* o}$ events, $D^{* o} \to γ D^{o}$ , $D^{o} \to K^{-} π^{+}$ , with the $K^{-}$ required to have momentum above $2.4 GeV / c$ .
To compare with the efficiency in the $D_{s}^{+} \to μ^{+} ν$ channel, the muon identification effiency of 0.85 must be taken into account, yielding an overall efficiency of 4.1%.
The efficiencies quoted here are both for $φ π^{+}$ momenta above $2.4 GeV / c$ . To calculate the $D_{s}^{* +} \to γ D_{s}^{+}$ , $D_{s}^{+} \to φ π^{+}$ yield above $2.4 GeV / c$ $D_{s}^{* +}$ momentum, we remove the cut on the $φ π^{+}$ momentum and impose a cut on the $D_{s}^{* +}$ momentum.
The CLEO Collaboration is preparing a publication on the measurement of the vector/pseudoscalar ratio in charmed-strange mesons.
, L3 CollaborationM. Acciarri , Phys. Lett. B 396, 327 (1997).
DELPHI Collaboration, F. Parodi et al., in HEP’97 Conference Jerusalem, 1997, paper 455.
See C. Bernard, review talk presented at the Seventh International Symposium on Heavy Flavor Physics, Santa Barbara, 1997, hep-ph/9709460, and references cited therein; A. X. El-Khadra , Phys. Rev. D (to be published), hep-ph/9711426.
H. Krasemann, Phys. Lett. 96B, 397 (1980); M. Suzuki, 162B, 391 (1985); S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985); S. N. Sinha, Phys. Lett. B 178, 110 (1986); P. Cea , 206, 691 (1988); S. Capstick and S. Godfrey, Phys. Rev. D 41, 2856 (1988).
C. Dominquez and N. Paver, Phys. Lett. B 197, 423 (1987); S. Narison, 198, 104 (1987); L. J. Reinders, Phys. Rev. D 38, 947 (1988); M. A. Shifman, Usp. Fiz. Nauk 151, 193 (1987) [Sov. Phys. Usp. 30, 91 (1987)].
D. Bortoletto and S. Stone, Phys. Rev. Lett. 65, 2951 (1990); J. L. Rosner, Phys. Rev. D 42, 3732 (1990); ARGUS Collaboration, H. Albrecht , Z. Phys. C 54, 1 (1992); T. Browder, K. Honscheid, and S. Playfer, in B Decays, edited by S. Stone, 2nd ed. (World Scientific, Singapore, 1994), p. 158.
J. F. Amundson , Phys. Rev. D 47, 3059 (1993).
G. Burdman, T. Goldman, and D. Wyler, Phys. Rev. D 51, 111 (1995).

[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] Whenever a specific reaction or final state is mentioned, consideration of the charge conjugate reaction or final state is also implied.

[c3] Particle Data Group, R. M. Barnett , Phys. Rev. D 54, 1 (1996).

[c4] D. Acosta , Phys. Rev. D 49, 5690 (1994).

[c5] S. Aoki , Prog. Theor. Phys. 89, 131 (1993). The WA75 value was based on the 1992 PDG value of $B {(D}_{s}^{+} \to K^{+} K^{-} π^{+}) = (3.9 \pm 0.4) %$ and $B {(D}^{o} \to μ ν X) = (8.8 \pm 2.5) %$ . We scale the WA75 result to be $f_{D_{s}} = (238 \pm 47 \pm 21 \pm 43) MeV$ using updated PDG [3] values of $B {(D}_{s}^{+} \to K^{+} K^{-} π^{+}) = (4.8 \pm 0.7) %$ and $B {(D}^{o} \to e ν X) = (7.7 \pm 1.2) %$ which we use for $B {(D}^{o} \to μ ν X)$ , after reducing the value by 3% to account for the smaller muon phase space.

[c6] J. Z. Bai , Phys. Rev. Lett. 74, 4599 (1995).

[c7] K. Kodama , Phys. Lett. B 382, 299 (1996).

[c8] CLEO Collaboration, Y. Kubota , Nucl. Instrum. Methods Phys. Res. A 320, 66 (1992).

[c9] CLEO Collaboration, M. S. Alam et al., in ICHEP ’96, Proceedings of the 28th International Conference on High Energy Physics, Warwaw, Poland, edited by Z. Ajduk and A. Wroblewski (World Scientific, Singapore, 1997).

[c10] D. Atwood and W. Marciano, Phys. Rev. D 41, 1736 (1990).

[c11] To use our $D^{* +} \to π^{+} D^{o}$ , $D^{o} \to K^{-} π^{+}$ events here, we eliminate the measurements of the fast $π^{+}$ from the $D^{o}$ decay from both the tracking chambers and calorimeter to simulate the neutrino, and call the $K^{-}$ a muon.

[c12] The event sample used is the fully reconstructed sample of $D^{* o}$ events, $D^{* o} \to γ D^{o}$ , $D^{o} \to K^{-} π^{+}$ , with the $K^{-}$ required to have momentum above $2.4 GeV / c$ .

[c13] To compare with the efficiency in the $D_{s}^{+} \to μ^{+} ν$ channel, the muon identification effiency of 0.85 must be taken into account, yielding an overall efficiency of 4.1%.

[c14] The efficiencies quoted here are both for $φ π^{+}$ momenta above $2.4 GeV / c$ . To calculate the $D_{s}^{* +} \to γ D_{s}^{+}$ , $D_{s}^{+} \to φ π^{+}$ yield above $2.4 GeV / c$ $D_{s}^{* +}$ momentum, we remove the cut on the $φ π^{+}$ momentum and impose a cut on the $D_{s}^{* +}$ momentum.

[c15] The CLEO Collaboration is preparing a publication on the measurement of the vector/pseudoscalar ratio in charmed-strange mesons.

[c16] , L3 CollaborationM. Acciarri , Phys. Lett. B 396, 327 (1997).

[c17] DELPHI Collaboration, F. Parodi et al., in HEP’97 Conference Jerusalem, 1997, paper 455.

[c18] See C. Bernard, review talk presented at the Seventh International Symposium on Heavy Flavor Physics, Santa Barbara, 1997, hep-ph/9709460, and references cited therein; A. X. El-Khadra , Phys. Rev. D (to be published), hep-ph/9711426.

[c19] H. Krasemann, Phys. Lett. 96B, 397 (1980); M. Suzuki, 162B, 391 (1985); S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985); S. N. Sinha, Phys. Lett. B 178, 110 (1986); P. Cea , 206, 691 (1988); S. Capstick and S. Godfrey, Phys. Rev. D 41, 2856 (1988).

[c20] C. Dominquez and N. Paver, Phys. Lett. B 197, 423 (1987); S. Narison, 198, 104 (1987); L. J. Reinders, Phys. Rev. D 38, 947 (1988); M. A. Shifman, Usp. Fiz. Nauk 151, 193 (1987) [Sov. Phys. Usp. 30, 91 (1987)].

[c21] D. Bortoletto and S. Stone, Phys. Rev. Lett. 65, 2951 (1990); J. L. Rosner, Phys. Rev. D 42, 3732 (1990); ARGUS Collaboration, H. Albrecht , Z. Phys. C 54, 1 (1992); T. Browder, K. Honscheid, and S. Playfer, in B Decays, edited by S. Stone, 2nd ed. (World Scientific, Singapore, 1994), p. 158.

[c22] J. F. Amundson , Phys. Rev. D 47, 3059 (1993).

[c23] G. Burdman, T. Goldman, and D. Wyler, Phys. Rev. D 51, 111 (1995).

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Improved measurement of the pseudoscalar decay constant $f_{D_{s}}$

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Improved measurement of the pseudoscalar decay constant fDs

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Improved measurement of the pseudoscalar decay constant $f_{D_{s}}$