<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>CP</mi></math> Nonconservation and Inequalities Between <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>μ</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>2</mn><mi>γ</mi></math> Decay Rates of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>S</mi></mrow><mrow><mn>0</mn></mrow></msubsup></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>L</mi></mrow><mrow><mn>0</mn></mrow></msubsup></mrow></math>

N. Christ; T. D. Lee

doi:10.1103/PhysRevD.4.209

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$CP$ Nonconservation and Inequalities Between $μ^{+} μ^{-}$ and $2 γ$ Decay Rates of $K_{S}^{0}$ and $K_{L}^{0}$

N. Christ^* and T. D. Lee

Columbia University, New York, New York 10027

^*Alfred P. Sloan Foundation Fellow.

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Phys. Rev. D 4, 209 – Published 1 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.209

Abstract

Assuming that the absorptive part of $K_{L}^{0} \to 2 μ$ is due only to the on-mass-shell $2 γ$ intermediate states, several inequalities between $2 μ$ and $2 γ$ decay states of $K_{S}^{0}$ and $K_{L}^{0}$ are derived without the assumption of $CP$ conservation. These inequalities, together with the present experimental upper bound on $K_{L}^{0} \to 2 μ$ , imply that the branching ratio for $K_{S}^{0} \to 2 μ$ should be greater than 5× $10^{- 7}$ .

References (9)

C. Quigg and J. D. Jackson, L. R. L. Report No. UCRL-18487 (unpublished) L. M. Sehgal, Nuovo Cimento 45, 785 (1966) Phys. Rev. 183, 1511 (1969)
M. A. Baqi Bég, Phys. Rev. 132, 426 (1963) A. Pais and S. B. Treiman, ibid. 176, 1974 (1968)
D. A. Geffen and B. L. Young, Phys. Rev. Letters 15, 316 (1965) C. G. Callan and S. B. Treiman, ibid. 18, 1083 (1967) S. D. Drell, Nuovo Cimento 11, 693 (1959) S. M. Berman and D. A. Geffen, 18, 1192 (1960)
A. R. Clark, T. Elioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)
B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970) G. R. Farrar and S. B. Treiman, ibid. 4, 257 (1971)
J. Steinberger in Topical Conference on Weak Interactions, CERN, Geneva, Switzerland, 1969 (CERN, Geneva, 1969), p. 291
M. Banner, J. W. Cronin, J. K. Liu, and J. E. Pilcher, Phys. Rev. 188, 2033 (1969)
B. D. Hyams et al., Phys. Letters 29B, 521 (1969)
([5])

[c1] C. Quigg and J. D. Jackson, L. R. L. Report No. UCRL-18487 (unpublished) L. M. Sehgal, Nuovo Cimento 45, 785 (1966) Phys. Rev. 183, 1511 (1969)

[c2] M. A. Baqi Bég, Phys. Rev. 132, 426 (1963) A. Pais and S. B. Treiman, ibid. 176, 1974 (1968)

[c3] D. A. Geffen and B. L. Young, Phys. Rev. Letters 15, 316 (1965) C. G. Callan and S. B. Treiman, ibid. 18, 1083 (1967) S. D. Drell, Nuovo Cimento 11, 693 (1959) S. M. Berman and D. A. Geffen, 18, 1192 (1960)

[c4] A. R. Clark, T. Elioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)

[c5] B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970) G. R. Farrar and S. B. Treiman, ibid. 4, 257 (1971)

[c6] J. Steinberger in Topical Conference on Weak Interactions, CERN, Geneva, Switzerland, 1969 (CERN, Geneva, 1969), p. 291

[c7] M. Banner, J. W. Cronin, J. K. Liu, and J. E. Pilcher, Phys. Rev. 188, 2033 (1969)

[c8] B. D. Hyams et al., Phys. Letters 29B, 521 (1969)

[c9] ([5])

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$CP$ Nonconservation and Inequalities Between $μ^{+} μ^{-}$ and $2 γ$ Decay Rates of $K_{S}^{0}$ and $K_{L}^{0}$

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CP Nonconservation and Inequalities Between μ+μ− and 2γ Decay Rates of KS0 and KL0

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References (9)

$CP$ Nonconservation and Inequalities Between $μ^{+} μ^{-}$ and $2 γ$ Decay Rates of $K_{S}^{0}$ and $K_{L}^{0}$