Current-algebra analysis of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>CP</mi></math></span> violations in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi><mo>→</mo><mn>3</mn><mi>π</mi></math></span> decay in the six-quark Weinberg-Salam model

Ling-Fong Li; Lincoln Wolfenstein

doi:10.1103/PhysRevD.21.178

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Current-algebra analysis of $CP$ violations in $K \to 3 π$ decay in the six-quark Weinberg-Salam model

Ling-Fong Li^*

Lincoln Wolfenstein

Physics Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213 and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720

Physics Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213

^*Participating guest at Lawrence Berkeley Laboratory.

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Phys. Rev. D 21, 178 – Published 1 January, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.178

Abstract

The standard current-algebra technique is used to relate the parameter $η_{+ - 0} \equiv \frac{〈 π^{+} π^{-} π^{0} | H_{w} | K_{S} 〉}{〈 π^{+} π^{-} π^{0} | H_{w} | K_{L} 〉}$ in $K \to 3 π$ decay to the $CP$ -violating parameters of $K \to 2 π$ decays in the context of the six-quark Weinberg-Salam theory (Kobayashi-Maskawa model).

References (15)

S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) A. Salam in Elementary Particle Physics: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksells, Stockholm, 1968)
M. Kobayashi and K. Maskawa, Prog. Theor. Phys. 49, 652 (1973)
J. Ellis et al., Nucl. Phys. B109, 213 (1976)
G. Thomson (private communication)
C. Bouchiat and Ph. Meyer, Phys. Lett. 25B, 282 (1967)
B. Holstein, Phys. Rev. 177, 2417 (1969)
B. Ya. Zeldovich, Yad. Fiz. 6, 840 (1967) [Sov. J. Nucl. Phys. 6, 611 (1968)]
R. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1969), p. 630
L. Wolfenstein, in Theory and Phenomenology in Particle Physics, edited by A. Zichichi (Academic, New York, 1969), p. 218
L. Wolfenstein, Nucl. Phys. B. (to be published)
A. Neveu and J. Scherk, Ann. Phys. (N.Y.) 57, 39 (1970)
M. A. Shifman et al., Nucl. Phys. B120, 316 (1977)
F. Gilman and M. B. Wise, Phys. Lett. 83B, 83 (1979)
B. Winstein (private communication)
R. Mohapatra and J. C. Pati, Phys. Rev. D 11, 566 (1975)

[c1] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) A. Salam in Elementary Particle Physics: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksells, Stockholm, 1968)

[c2] M. Kobayashi and K. Maskawa, Prog. Theor. Phys. 49, 652 (1973)

[c3] J. Ellis et al., Nucl. Phys. B109, 213 (1976)

[c4] G. Thomson (private communication)

[c5] C. Bouchiat and Ph. Meyer, Phys. Lett. 25B, 282 (1967)

[c6] B. Holstein, Phys. Rev. 177, 2417 (1969)

[c7] B. Ya. Zeldovich, Yad. Fiz. 6, 840 (1967) [Sov. J. Nucl. Phys. 6, 611 (1968)]

[c8] R. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1969), p. 630

[c9] L. Wolfenstein, in Theory and Phenomenology in Particle Physics, edited by A. Zichichi (Academic, New York, 1969), p. 218

[c10] L. Wolfenstein, Nucl. Phys. B. (to be published)

[c11] A. Neveu and J. Scherk, Ann. Phys. (N.Y.) 57, 39 (1970)

[c12] M. A. Shifman et al., Nucl. Phys. B120, 316 (1977)

[c13] F. Gilman and M. B. Wise, Phys. Lett. 83B, 83 (1979)

[c14] B. Winstein (private communication)

[c15] R. Mohapatra and J. C. Pati, Phys. Rev. D 11, 566 (1975)

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Current-algebra analysis of $CP$ violations in $K \to 3 π$ decay in the six-quark Weinberg-Salam model

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Current-algebra analysis of CP violations in K→3π decay in the six-quark Weinberg-Salam model

Abstract

References (15)

Current-algebra analysis of $CP$ violations in $K \to 3 π$ decay in the six-quark Weinberg-Salam model