Polarization of the τ lepton from scalar τ decay as a probe of neutralino mixing

Mihoko M. Nojiri

doi:10.1103/PhysRevD.51.6281

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Polarization of the τ lepton from scalar τ decay as a probe of neutralino mixing

Mihoko M. Nojiri

Theory Group, KEK, Oho 1-1, Tsukuba, Ibaraki 305, Japan

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Phys. Rev. D 51, 6281 – Published 1 June, 1995

DOI: https://doi.org/10.1103/PhysRevD.51.6281

Abstract

The τ lepton arising from the scalar tau (τ̃) decay is naturally polarized. $P_{τ}$ depends on the left-right mixing of the τ̃ and the gaugino-Higgsino mixing of the neutralino. The polarization $P_{τ}$ could be measured from the energy distribution of the decay products of τ at future $e^{+}$ $e^{-}$ colliders. A measurement of $P_{τ}$ and of the τ̃ production cross section allows us to determine both these mixing angles.

References (22)

For reviews, see H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); X. Tata, in The Standard Model and Beyond, edited by J. E. Kim (World Scientific, Singapore, 1991), p. 304.
S. L. Glashow, Nucl. Phys. B22, 579 (1961); S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1969), p. 367.
L. Susskind, Phys. Rev. D 20, 2619 (1980); G. 't Hooft, in Recent Developments in Gauge Theories, Proceedings of the Cargèse Summer Institute, Cargèse, France, 1979, edited by G. 't Hooft et al., NATO Advanced Study Institute Series B: Physics Vol. 59 (Plenum, New York, 1980), p. 135; M. Veltman, Acta Phys. Pol. B 12, 437 (1981).
U. Amaldi, W. de Boer and H. Fürstenau, Phys. Lett. B 260, 447 (1991); P. Langacker and M. Luo, Phys. Rev. D 44, 817 (1991); J. Ellis, S. Kelley and D. V. Nanopoulos, Phys. Lett. B 260, 131 (1991).
For reviews, see H. P. Nilles, Phys. Rep. 110, 1 (1984); P. Nath, A. Arnowitt, and A. Chamseddine, Applied N=1 Supergravity, ITCP Series in Theoretical Physics (World Scientific, Singapore, 1984). For supersymmetry breaking in superstring models, see L. E. Ibánez, in CP Violation, Its Implications to Particle Physics and Cosmology, Proceedings of the Topical Conference, Tsukuba, Japan, 1993, edited by Y. Kuno and Y. Okada [Nucl. Phys. B (Proc. Suppl.) 37A, 161 (1994)], and references therein.
See, for example, contributions in Proceedings of Workshop on Physics and Experiments with Linear esup + $e^{-}$ Colliders, Waikoloa, Hawaii, 1993, edited by F. Harris et al. (World Scientific, Singapore, 1993); and also in esup + $e^{-}$ Collisions at 500 GeV: The Physics Potential, Proceedings of the Workshop, Munich Annecy Hamburg, 1991, edited by P. Zerwas (DESY Report No. 92 123, Hamburg, 1992), and references therein, for recent studies of supersymmetry searches at esup + $e^{-}$ colliders.
J. Ellis and S. Rudaz, Phys. Lett. 128B, 248 (1983); L. E. Ibá nez, C. Lopez and C. Mu noz, Nucl. Phys. B256, 218 (1985); A. Bouquet, J. Kaplan and C. A. Savoy, ibid. B262, 299 (1985).
J. F. Gunion and H. E. Haber, Nucl. Phys. B272, 1 (1986); ibid. B402, 567(E) (1993).
Y. S. Tsai, Phys. Rev. D 4, 2821 (1971); T. Hagiwara, S. Y. Pi and A. I. Sanda, Ann. Phys. (N.Y.) 106, 134 (1977); H. Kühn and F. Wagner, Nucl. Phys. B236, 16 (1984).
K. Hagiwara, A. D. Martin and D. Zeppenfeld, Phys. Lett. B 235, 198 (1989); A. Rougé, Z. Phys. C 48, 75 (1990); B. K. Bullock, K. Hagiwara and A. D. Martin, Phys. Rev. Lett. 67, 3055 (1989); Nucl. Phys. B395, 499 (1993).
S. Jadach, J. H. Kühn and Z. W cas, Comput. Phys. Commun. 64, 275 (1991); M. Jeżebek, Z. W cas, S. Jadach and J. H. Kühn, ibid. 70, 69 (1992); ibid. 76, 361 (1993).
M. Drees and M. M. Nojiri, Nucl. Phys. B369, 54 (1992).
``JLC I,'' KEK Report No. 92 16 (unpublished).
T. Murayama et al., Phys. Rev. Lett. 66, 2351 (1991); T. Omori et al., ibid. 67, 3294 (1994); T. Nakanishi et al., Phys. Lett. A 158, 345 (1991); H. Aoyagi et al., ibid. 167, 415 (1992).
T. Tsukamoto et al., Phys. Rev. D 51, 3153 (1995).
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M. Drees and M. M. Nojiri, Phys. Rev. D 47, 376 (1993).
B. K. Bullock, K. Hagiwara and A. D. Martin, Phys. Lett. B 273, 501 (1991).
K. Fujii, T. Tsukamoto, and M. M. Nojiri (unpublished).
D0 Collaboration, S. Abachi et al., Phys. Rev. Lett. 72, 2138 (1994); CDF Collaboration, F. Abe et al., ibid. 73, 225 (1994).
M. Drees, University of Wisconsin Report No. MAD/PH/843 (unpublished).
Y. Kawamura, H. Murayama and M. Yamaguchi, Phys. Lett. B 324, 52 (1994); Phys. Rev. D 51, 1337 (1995) R. Hempfling, DESY Report No. DESY 94 078 (unpublished); H. C Cheng and L. J. Hall, Phys. Rev. D 51, 5289 (1995).

[c1] For reviews, see H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); X. Tata, in The Standard Model and Beyond, edited by J. E. Kim (World Scientific, Singapore, 1991), p. 304.

[c2] S. L. Glashow, Nucl. Phys. B22, 579 (1961); S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1969), p. 367.

[c3] L. Susskind, Phys. Rev. D 20, 2619 (1980); G. 't Hooft, in Recent Developments in Gauge Theories, Proceedings of the Cargèse Summer Institute, Cargèse, France, 1979, edited by G. 't Hooft et al., NATO Advanced Study Institute Series B: Physics Vol. 59 (Plenum, New York, 1980), p. 135; M. Veltman, Acta Phys. Pol. B 12, 437 (1981).

[c4] U. Amaldi, W. de Boer and H. Fürstenau, Phys. Lett. B 260, 447 (1991); P. Langacker and M. Luo, Phys. Rev. D 44, 817 (1991); J. Ellis, S. Kelley and D. V. Nanopoulos, Phys. Lett. B 260, 131 (1991).

[c5] For reviews, see H. P. Nilles, Phys. Rep. 110, 1 (1984); P. Nath, A. Arnowitt, and A. Chamseddine, Applied N=1 Supergravity, ITCP Series in Theoretical Physics (World Scientific, Singapore, 1984). For supersymmetry breaking in superstring models, see L. E. Ibánez, in CP Violation, Its Implications to Particle Physics and Cosmology, Proceedings of the Topical Conference, Tsukuba, Japan, 1993, edited by Y. Kuno and Y. Okada [Nucl. Phys. B (Proc. Suppl.) 37A, 161 (1994)], and references therein.

[c6] See, for example, contributions in Proceedings of Workshop on Physics and Experiments with Linear esup + $e^{-}$ Colliders, Waikoloa, Hawaii, 1993, edited by F. Harris et al. (World Scientific, Singapore, 1993); and also in esup + $e^{-}$ Collisions at 500 GeV: The Physics Potential, Proceedings of the Workshop, Munich Annecy Hamburg, 1991, edited by P. Zerwas (DESY Report No. 92 123, Hamburg, 1992), and references therein, for recent studies of supersymmetry searches at esup + $e^{-}$ colliders.

[c7] J. Ellis and S. Rudaz, Phys. Lett. 128B, 248 (1983); L. E. Ibá nez, C. Lopez and C. Mu noz, Nucl. Phys. B256, 218 (1985); A. Bouquet, J. Kaplan and C. A. Savoy, ibid. B262, 299 (1985).

[c8] J. F. Gunion and H. E. Haber, Nucl. Phys. B272, 1 (1986); ibid. B402, 567(E) (1993).

[c9] Y. S. Tsai, Phys. Rev. D 4, 2821 (1971); T. Hagiwara, S. Y. Pi and A. I. Sanda, Ann. Phys. (N.Y.) 106, 134 (1977); H. Kühn and F. Wagner, Nucl. Phys. B236, 16 (1984).

[c10] K. Hagiwara, A. D. Martin and D. Zeppenfeld, Phys. Lett. B 235, 198 (1989); A. Rougé, Z. Phys. C 48, 75 (1990); B. K. Bullock, K. Hagiwara and A. D. Martin, Phys. Rev. Lett. 67, 3055 (1989); Nucl. Phys. B395, 499 (1993).

[c11] S. Jadach, J. H. Kühn and Z. W cas, Comput. Phys. Commun. 64, 275 (1991); M. Jeżebek, Z. W cas, S. Jadach and J. H. Kühn, ibid. 70, 69 (1992); ibid. 76, 361 (1993).

[c12] M. Drees and M. M. Nojiri, Nucl. Phys. B369, 54 (1992).

[c13] ``JLC I,'' KEK Report No. 92 16 (unpublished).

[c14] T. Murayama et al., Phys. Rev. Lett. 66, 2351 (1991); T. Omori et al., ibid. 67, 3294 (1994); T. Nakanishi et al., Phys. Lett. A 158, 345 (1991); H. Aoyagi et al., ibid. 167, 415 (1992).

[c15] T. Tsukamoto et al., Phys. Rev. D 51, 3153 (1995).

[c16] T. Tsukamoto (private communication).

[c17] M. Drees and M. M. Nojiri, Phys. Rev. D 47, 376 (1993).

[c18] B. K. Bullock, K. Hagiwara and A. D. Martin, Phys. Lett. B 273, 501 (1991).

[c19] K. Fujii, T. Tsukamoto, and M. M. Nojiri (unpublished).

[c20] D0 Collaboration, S. Abachi et al., Phys. Rev. Lett. 72, 2138 (1994); CDF Collaboration, F. Abe et al., ibid. 73, 225 (1994).

[c21] M. Drees, University of Wisconsin Report No. MAD/PH/843 (unpublished).

[c22] Y. Kawamura, H. Murayama and M. Yamaguchi, Phys. Lett. B 324, 52 (1994); Phys. Rev. D 51, 1337 (1995) R. Hempfling, DESY Report No. DESY 94 078 (unpublished); H. C Cheng and L. J. Hall, Phys. Rev. D 51, 5289 (1995).

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Polarization of the τ lepton from scalar τ decay as a probe of neutralino mixing

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