Lower Bound on <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>λ</mi></mrow><mrow><mo>+</mo></mrow></msub></mrow></math></span> in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>l</mi><mn>3</mn><mn></mn></mrow></msub></mrow></math></span> Decay

R. Acharya

doi:10.1103/PhysRevD.5.768

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Lower Bound on $λ_{+}$ in $K_{l 3}$ Decay

R. Acharya^*

Center for Particle Theory, University of Texas at Austin, Austin, Texas 78712

^*Address from 1 September 1971: Department of Physics, Duke University, Durham, N. C. 27706.

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Phys. Rev. D 5, 768 – Published 1 February, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.768

Abstract

A lower bound on $λ_{+}$ is derived under the assumption that the chiral SU(2) × SU(2)-breaking correction term to the soft-pion theorem in $K_{l 3}$ decay is positive. We adopt earlier estimates of phenomenological parameters by Okubo and obtain $λ_{+} ≳ 0.05$ .

Comments & Replies

Test of $K_{l 3}$ Soft-Pion Theorem and Chiral SW(3) Model

I-Fu Shih and Susumu Okubo

Phys. Rev. D 4, 3519 (1971)

Comment on a Rigorous Bound for the $f_{+} (0)$ Form Factor of $K_{l 3}$ Decay

Ling-Fong Li and Heinz Pagels

Phys. Rev. D 4, 255 (1971)

Original Article

Rigorous Bound on $K_{l 3}$ Decay Amplitudes

Ling-Fong Li and Heinz Pagels

Phys. Rev. D 3, 2191 (1971)

References (12)

L.-F. Li and H. Pagels, Phys. Rev. D 3, 2191 (1971) ibid.4, 255 (1971)
S. Okubo, Phys. Rev. D 3, 2807 (1971)
S. Okubo, Phys. Rev. D 4, 725 (1971)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
L. Chounet and M. Gaillard, Phys. Letters 32B, 505 (1970) M. Gaillard and L. Chounet, CERN Report No. CERN-TH-70-14, 1970 (unpublished)
C.-Y. Chien et al., Phys. Letters 33B, 627 (1970)
C. Callan and S. Treiman, Phys. Rev. Letters 16, 153 (1966) M. Suzuki, ibid. 16, 212 (1966) V. Mathur, S. Okubo, and L. Pandit, ibid. 16, 371 (1966)
R. Acharya and L. Brink, Phys. Rev. D 3, 1579 (1971)
V. Mathur, Phys. Rev. Letters 27, 452 (1971)
S. Okubo and V. Mathur, Phys. Rev. Letters 23, 1412 (1969)
T. Cheng and R. Dashen, Phys. Rev. Letters 26, 594 (1971) H. Schnitzer, Brandeis University report, 1971 (unpublished)

[c1] L.-F. Li and H. Pagels, Phys. Rev. D 3, 2191 (1971) ibid.4, 255 (1971)

[c2] S. Okubo, Phys. Rev. D 3, 2807 (1971)

[c3] S. Okubo, Phys. Rev. D 4, 725 (1971)

[c4] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c5] S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)

[c6] L. Chounet and M. Gaillard, Phys. Letters 32B, 505 (1970) M. Gaillard and L. Chounet, CERN Report No. CERN-TH-70-14, 1970 (unpublished)

[c7] C.-Y. Chien et al., Phys. Letters 33B, 627 (1970)

[c8] C. Callan and S. Treiman, Phys. Rev. Letters 16, 153 (1966) M. Suzuki, ibid. 16, 212 (1966) V. Mathur, S. Okubo, and L. Pandit, ibid. 16, 371 (1966)

[c9] R. Acharya and L. Brink, Phys. Rev. D 3, 1579 (1971)

[c10] V. Mathur, Phys. Rev. Letters 27, 452 (1971)

[c11] S. Okubo and V. Mathur, Phys. Rev. Letters 23, 1412 (1969)

[c12] T. Cheng and R. Dashen, Phys. Rev. Letters 26, 594 (1971) H. Schnitzer, Brandeis University report, 1971 (unpublished)

Physical Review D

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Lower Bound on $λ_{+}$ in $K_{l 3}$ Decay

Abstract

Comments & Replies

Test of $K_{l 3}$ Soft-Pion Theorem and Chiral SW(3) Model

Comment on a Rigorous Bound for the $f_{+} (0)$ Form Factor of $K_{l 3}$ Decay

Original Article

Rigorous Bound on $K_{l 3}$ Decay Amplitudes

References (12)

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Lower Bound on λ+ in Kl3 Decay

Abstract

Comments & Replies

Test of Kl3 Soft-Pion Theorem and Chiral SW(3) Model

Comment on a Rigorous Bound for the f+(0) Form Factor of Kl3 Decay

Original Article

Rigorous Bound on Kl3 Decay Amplitudes

References (12)

Lower Bound on $λ_{+}$ in $K_{l 3}$ Decay

Test of $K_{l 3}$ Soft-Pion Theorem and Chiral SW(3) Model

Comment on a Rigorous Bound for the $f_{+} (0)$ Form Factor of $K_{l 3}$ Decay

Rigorous Bound on $K_{l 3}$ Decay Amplitudes