Chiral-Symmetry-Breaking Corrections to the <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> Soft-Pion Theorem

Ahmad Ali; Fayyazuddin; Riazuddin

doi:10.1103/PhysRevD.2.2093

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Chiral-Symmetry-Breaking Corrections to the $K \to 3 π$ Soft-Pion Theorem

Ahmad Ali

Fayyazuddin and Riazuddin

Institute of Physics, University of Islamabad, Rawalpindi, Pakistan

Institute of Physics, University of Islamabad, Rawalpindi, Pakistan and International Centre for Theoretical Physics, Trieste, Italy

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Phys. Rev. D 2, 2093 – Published 1 November, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.2093

Abstract

First-order corrections, due to chiral symmetry breaking, to the $K \to 3 π$ soft-pion theorem are calculated. The corrections turn out to be independent of any assumption of specific properties of the chiral-symmetry-breaking Hamiltonian.

References (9)

S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968) R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley-Interscience, New York, 1969)
Y. Nambu and D. Lurié, Phys. Rev. 125, 1429 (1962) S. Weinberg, Phys. Rev. Letters 16, 163 (1966) in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 253 R. F. Dashen, Phys. Rev. 183, 1245 (1969) R. F. Dashen and M. Weinstein, ibid. 183, 1261 (1969) ibid.188, 2330 (1969)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1969) S. L. Glashow and S. Weinberg, Phys. Rev. Letters 22, 224 (1968)
R. F. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)
R. F. Dashen and M. Weinstein, Phys. Rev. 188, 2330 (1969)
S. P. de Alwis, Phys. Rev. D 1, 2131 (1970)
Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966) [1]
Fayyazuddin and Riazuddin, Phys. Rev. D 1, 361 (1970) ibid.1, 2716(E) (1970)
S. Okubo and V. S. Mathur, Phys. Rev. D 1, 2046 (1970)

[c1] S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968) R. E. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley-Interscience, New York, 1969)

[c2] Y. Nambu and D. Lurié, Phys. Rev. 125, 1429 (1962) S. Weinberg, Phys. Rev. Letters 16, 163 (1966) in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 253 R. F. Dashen, Phys. Rev. 183, 1245 (1969) R. F. Dashen and M. Weinstein, ibid. 183, 1261 (1969) ibid.188, 2330 (1969)

[c3] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1969) S. L. Glashow and S. Weinberg, Phys. Rev. Letters 22, 224 (1968)

[c4] R. F. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)

[c5] R. F. Dashen and M. Weinstein, Phys. Rev. 188, 2330 (1969)

[c6] S. P. de Alwis, Phys. Rev. D 1, 2131 (1970)

[c7] Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966) [1]

[c8] Fayyazuddin and Riazuddin, Phys. Rev. D 1, 361 (1970) ibid.1, 2716(E) (1970)

[c9] S. Okubo and V. S. Mathur, Phys. Rev. D 1, 2046 (1970)

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Chiral-Symmetry-Breaking Corrections to the $K \to 3 π$ Soft-Pion Theorem

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Chiral-Symmetry-Breaking Corrections to the K→3π Soft-Pion Theorem

Abstract

References (9)

Chiral-Symmetry-Breaking Corrections to the $K \to 3 π$ Soft-Pion Theorem