On the observability of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>B</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></math>-B<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>¯</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> mixing in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>e</mi></mrow><mrow><mi mathvariant="normal">−</mi></mrow></msup></mrow></math>→BB¯X reaction at √s ≊15–30 GeV

A. Fridman; A. S. Schwarz

doi:10.1103/PhysRevD.32.1650

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On the observability of $B^{0}$ -B $¯^{0}$ mixing in the $e^{+}$ $e^{-}$ →BB¯X reaction at √s ≊15–30 GeV

A. Fridman and A. S. Schwarz

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

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Phys. Rev. D 32, 1650 – Published 1 October, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.1650

Abstract

We evaluate the possibility of measuring $B^{0}$ -B¯ ${}^{0}$ mixing in the $e^{+}$ $e^{-}$ →BB¯X reaction (X meaning anything) by detecting like-sign dileptons in the final state. We consider the 15–30-GeV c.m.-energy region in which any type of B-meson pairs can be produced. The influence of a nonspectator component in the B decay on the observability of mixing effects is investigated. In addition a method for tagging B’s is discussed. Numbers for signal and background have been calculated for an accumulated luminosity of 1000 ${pb}^{- 1}$ .

References (33)

J. S. Hagelin and M. B. Wise, Nucl. Phys. B 189, 87 (1981); J. S. Hagelin, ibid. B 193, 123 (1981).
A. Ali and Z. Z. Aydin, Nucl. Phys. B 148, 165 (1979).
E. Franco, M. Lusignoli and A. Pugliesi, Nucl. Phys. B 194, 403 (1982).
I. I. Bigi and A. I. Sanda, Nucl. Phys. B 193, 85 (1981).
L. L. Chau, W. Y. Keung and M. D. Tran, Phys. Rev. D 27, 2145 (1983).
L. L. Chau and W. Y. Keung, Phys. Rev. D 29, 592 (1984); see also the summary of L. L. Chau, Phys. Rep. 95, 1 (1983).
S.-H.H. Tye, in Proceedings of the CLEO Collaboration Workshop (Cornell Report CLNS 51/506 and CLEO 81/106, 1981).
A. Ali and C. Jarlskog, Phys. Lett. 144 B, 266 (1984).
A. J. Buras, W. Slominski and H. Steger, Nucl. Phys. B 246, 45 (1984); A. J. Buras and H. Steger (private communications).
I. I. Bigi and A. I. Sanda, Phys. Rev. D 29, 1393 (1984).
L. Wolfenstein, Nucl. Phys. B 246, 45 (1984).
We define the quark content of the B mesons in the following way: $B sub d == bd¯, $B sub u == bū, $B sub s == b $\bar{s}$ , and $B sub c == b $\bar{c}$ . In a similar manner we use $D sup 0 == cū and $D sup + == cd¯.
L. B. Okun, V. I. Zakharov and B. M. Pontecorvo, Lett. Nuovo Cimento 13, 218 (1975).
A. Pais and S. B. Treiman, Phys. Rev. D 12, 2744 (1975).
See for instance Refs. 1, 6, and 9.
Note that for even L one has an enhancement factor. This occurs, for instance, for the $e^{+}$ $e^{-}$ -> $B^{star \bar{B} - >}$ B $\bar{B}$ gamma process near threshold where the relative B $\bar{B}$ orbital momentum is $L=0; see Refs. 4 and 10. We thank I. I. Bigi for an enlightening discussion about these effects.
See for instance, Refs. 1, 4, and 9.
See for instance Refs. 5, 8, and 9.
T. Sjöstrand, Comput. Phys. Commun. 28, 229 (1983), and references quoted therein.
In the spectator model one has B(B -> τ ν X) / B (B -> l ν X) approx 0.07 and B( τ -> l ν ν bar ) approx 0.36.
TASSO Collaboration, M. Althoff et al., Phys. Lett. 136 B, 130 (1984).
See S. Stone, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1983).
F. J. Gilman and J. S. Hagelin, Phys. Lett. 126 B, 111 (1983).
Omitted end note.
A. Soni, Phys. Rev. Lett. 53, 1407 (1984).
The nonspectator contribution to the $B^{-}$ decay is assumed to be negligible as the $bū~ ( $\bar{b}$ u ) -> W -> q primeq¯ decay is Cabibbo-angle suppressed.
J. P. Leveille, in Proceedings of the CLEO Collaboration Workshop (Ref. 7).
See for instance the talk of S.-H.H. Tye at the Workshop on $e^{+}$ $e^{-}$ Physics at High Luminosities held at SLAC, 1984 (unpublished).
CLEO Collaboration, R. Gilles et al., Phys. Rev. Lett. 50, 887 (1983).
E. Eichten, Phys. Rev. D 22, 1819 (1980).
CLEO Collaboration, see for instance R. Plunkett, Ph.D. thesis, Cornell University, 1982.
T. Sjöstrand, Comput. Phys. Commun. 27, 243 (1982).
J. Cortes, X. Pham and A. Tounsi, Phys. Rev. D 25, 188 (1982).

[c1] J. S. Hagelin and M. B. Wise, Nucl. Phys. B 189, 87 (1981); J. S. Hagelin, ibid. B 193, 123 (1981).

[c2] A. Ali and Z. Z. Aydin, Nucl. Phys. B 148, 165 (1979).

[c3] E. Franco, M. Lusignoli and A. Pugliesi, Nucl. Phys. B 194, 403 (1982).

[c4] I. I. Bigi and A. I. Sanda, Nucl. Phys. B 193, 85 (1981).

[c5] L. L. Chau, W. Y. Keung and M. D. Tran, Phys. Rev. D 27, 2145 (1983).

[c6] L. L. Chau and W. Y. Keung, Phys. Rev. D 29, 592 (1984); see also the summary of L. L. Chau, Phys. Rep. 95, 1 (1983).

[c7] S.-H.H. Tye, in Proceedings of the CLEO Collaboration Workshop (Cornell Report CLNS 51/506 and CLEO 81/106, 1981).

[c8] A. Ali and C. Jarlskog, Phys. Lett. 144 B, 266 (1984).

[c9] A. J. Buras, W. Slominski and H. Steger, Nucl. Phys. B 246, 45 (1984); A. J. Buras and H. Steger (private communications).

[c10] I. I. Bigi and A. I. Sanda, Phys. Rev. D 29, 1393 (1984).

[c11] L. Wolfenstein, Nucl. Phys. B 246, 45 (1984).

[c12] We define the quark content of the B mesons in the following way: $B sub d == bd¯, $B sub u == bū, $B sub s == b $\bar{s}$ , and $B sub c == b $\bar{c}$ . In a similar manner we use $D sup 0 == cū and $D sup + == cd¯.

[c13] L. B. Okun, V. I. Zakharov and B. M. Pontecorvo, Lett. Nuovo Cimento 13, 218 (1975).

[c14] A. Pais and S. B. Treiman, Phys. Rev. D 12, 2744 (1975).

[c15] See for instance Refs. 1, 6, and 9.

[c16] Note that for even L one has an enhancement factor. This occurs, for instance, for the $e^{+}$ $e^{-}$ -> $B^{star \bar{B} - >}$ B $\bar{B}$ gamma process near threshold where the relative B $\bar{B}$ orbital momentum is $L=0; see Refs. 4 and 10. We thank I. I. Bigi for an enlightening discussion about these effects.

[c17] See for instance, Refs. 1, 4, and 9.

[c18] See for instance Refs. 5, 8, and 9.

[c19] T. Sjöstrand, Comput. Phys. Commun. 28, 229 (1983), and references quoted therein.

[c20] In the spectator model one has B(B -> τ ν X) / B (B -> l ν X) approx 0.07 and B( τ -> l ν ν bar ) approx 0.36.

[c21] TASSO Collaboration, M. Althoff et al., Phys. Lett. 136 B, 130 (1984).

[c22] See S. Stone, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1983).

[c23] F. J. Gilman and J. S. Hagelin, Phys. Lett. 126 B, 111 (1983).

[c24] Omitted end note.

[c25] A. Soni, Phys. Rev. Lett. 53, 1407 (1984).

[c26] The nonspectator contribution to the $B^{-}$ decay is assumed to be negligible as the $bū~ ( $\bar{b}$ u ) -> W -> q primeq¯ decay is Cabibbo-angle suppressed.

[c27] J. P. Leveille, in Proceedings of the CLEO Collaboration Workshop (Ref. 7).

[c28] See for instance the talk of S.-H.H. Tye at the Workshop on $e^{+}$ $e^{-}$ Physics at High Luminosities held at SLAC, 1984 (unpublished).

[c29] CLEO Collaboration, R. Gilles et al., Phys. Rev. Lett. 50, 887 (1983).

[c30] E. Eichten, Phys. Rev. D 22, 1819 (1980).

[c31] CLEO Collaboration, see for instance R. Plunkett, Ph.D. thesis, Cornell University, 1982.

[c32] T. Sjöstrand, Comput. Phys. Commun. 27, 243 (1982).

[c33] J. Cortes, X. Pham and A. Tounsi, Phys. Rev. D 25, 188 (1982).

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On the observability of $B^{0}$ -B $¯^{0}$ mixing in the $e^{+}$ $e^{-}$ →BB¯X reaction at √s ≊15–30 GeV

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On the observability of B0-B¯0 mixing in the e+e−→BB¯X reaction at √s ≊15–30 GeV

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On the observability of $B^{0}$ -B $¯^{0}$ mixing in the $e^{+}$ $e^{-}$ →BB¯X reaction at √s ≊15–30 GeV