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Note on CP nonconservation in K→ππ

H. Galić

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

Phys. Rev. D 32, 2456 – Published 1 November, 1985

DOI: https://doi.org/10.1103/PhysRevD.32.2456

Abstract

A semiphenomenological upper bound on the value φ00-φ+ is derived and discussed.

References (11)

  1. L. Wolfenstein, Phys. Rev. Lett. 13, 562 (1964).
  2. J. H. Christenson et al., Phys. Rev. Lett. 43, 1209 (1979); , ibid. 43, 1212 (1979); for a world average, see also Ref. 3.
  3. Particle Data Group, Rev. Mod. Phys. 56, S1 (1984).
  4. T. T. Wu and C. N. Yang, Phys. Rev. Lett. 13, 380 (1964); see also L. Wolfenstein, Nuovo Cimento 42A, 17 (1966); M. Gourdin, Nucl. Phys. B3, 207 (1967).
  5. L.-L. Chau, Phys. Rep. 95, 1 (1983). This work contains an extensive list of references on the subject.
  6. The reader can easily find several different ways, some even simpler than the one described here, leading to Eq. (9). Similarly, one can show that, e.g., Im εsprime/ ε = - tan ( φ00- φ + ) / 3.
  7. The weighted average for δ2- δ0 was taken from T. J. Devlin and J. O. Dickey, Rev. Mod. Phys. 51, 237 (1979).
  8. B. Winstein, in Proceedings of the 11th International Conference on Neutrino Physics and Astrophysics, Dortmund, 1984, edited by K. Kleinknecht and E. A. Paschos (World Scientific, Singapore, 1985), p. 627; in this reference a brief review of future experiments on direct CP nonconservation in the K system can be found.
  9. J. K. Black et al., Phys. Rev. Lett. 54, 1628 (1985); R. H. Bernstein et al., ibid. 54, 1631 (1985).
  10. Note that relation (9) is obtained assuming that pions form an exact isospin triplet, and also neglecting all radiative corrections. It is very difficult to take isospin breaking and radiative corrections into account. Although in principle they can play an important role at this level, it is believed (see, e.g., Ref. 4) that ratios and differences of relevant quantities remain mostly unaffected.
  11. See, e.g., V. V. Barmin et al., Nucl. Phys. B247, 293 (1984).

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