Unitarity and Fixed Poles of Weak Amplitudes in a Perturbation-Theory Model

H. C. Baker; Eugene Y. C. Lu; L. E. Wood

doi:10.1103/PhysRevD.2.3031

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Unitarity and Fixed Poles of Weak Amplitudes in a Perturbation-Theory Model

H. C. Baker^*, Eugene Y. C. Lu, and L. E. Wood

Arthur Holly Compton Laboratory of Physics, Washington University, St. Louis, Missouri 63130

^*NASA predoctoral trainee.

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Phys. Rev. D 2, 3031 – Published 15 December, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.3031

Abstract

We show that weak unitarity equations in general require the existence of fixed simple poles in weak amplitudes at right-signature nonsense-nonsense points and are consistent with the presence of higher-order fixed poles with constant or polynominal residues. These fixed poles are exhibited in a perturbation-theory model.

References (9)

J. B. Bronzan et al., Phys. Rev. Letters 18, 32 (1967) Phys. Rev. 157, 1448 (1967) V. Singh, Phys. Rev. Letters 18, 36 (1967)
S. L. Adler and R. F. Dashen, Current Algebra (Benjamin, New York, 1968) B. Renner, Current Algebra (Pergamon, London, 1968)
G. C. Fox and D. Z. Freedman, Phys. Rev. 181, 1628 (1969)
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H. R. Rubinstein, G. Veneziano, and M. A. Virasoro, Phys. Rev. 167, 1441 (1968)
R. J. Eden et al., The Analytic $S$ Matrix (Cambridge U. P., Cambridge, England, 1967)
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I. G. Halliday, Nuovo Cimento 51, 970 (1967)
([6]) Y. Shimizu, Nuovo Cimento Letters 3, 633 (1970)

[c1] J. B. Bronzan et al., Phys. Rev. Letters 18, 32 (1967) Phys. Rev. 157, 1448 (1967) V. Singh, Phys. Rev. Letters 18, 36 (1967)

[c2] S. L. Adler and R. F. Dashen, Current Algebra (Benjamin, New York, 1968) B. Renner, Current Algebra (Pergamon, London, 1968)

[c3] G. C. Fox and D. Z. Freedman, Phys. Rev. 181, 1628 (1969)

[c4] A. H. Mueller and T. L. Trueman, Phys. Rev. 160, 1296 (1967)

[c5] H. R. Rubinstein, G. Veneziano, and M. A. Virasoro, Phys. Rev. 167, 1441 (1968)

[c6] R. J. Eden et al., The Analytic $S$ Matrix (Cambridge U. P., Cambridge, England, 1967)

[c7] H. Cheng and T. T. Wu, Phys. Rev. Letters 24, 759 (1970)

[c8] I. G. Halliday, Nuovo Cimento 51, 970 (1967)

[c9] ([6]) Y. Shimizu, Nuovo Cimento Letters 3, 633 (1970)

Physical Review D

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Unitarity and Fixed Poles of Weak Amplitudes in a Perturbation-Theory Model

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