Abstract
The subject of our discussion are the on mass-shell renormalization conditions in any order of the perturbative calculations with particle mixing. The imaginary parts of the propagators which are connected with the particle decay width are taken into account. The phenomenological LSZ relation for unstable particles is discussed. The on-shell renormalization condition for the mixing of particles with spins 0+0, 0+1. and 1+1 is presented.
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References
Stevenson P.: Nucl. Phys. B203 (1982) 472.
Stevenson P.: Phys. Rev. D23 (1981) 2916.
Grunberg G.: Phys. Lett. B95 (1980) 70.
Lehmann H., Symanzik K., Zimmermann W.: Nuovo Cimento1 (1955) 205.
see also Itzykson C. and Zuber J. B.: Quantum Field Theory. Mc Graw-Hill, New York 1980, Chapter 5.
Hooft G., Veltman M.: Nucl. Phys. B153 (1979) 365.
Aoki K., Hioki Z., Kawabe R., Konuma M., Muta T.: Prog. Theor. Phys. Suppl.73 (1981) 1.
Mann G., Riemann T.: On mass shell renormalization of the Weinberg-Salam theory. Preprint PHE 83-09, Berlin, 1983;
Böhm M., Hollik W., Spiesberger H.: The renormalization of the Electroweak Standard Model. DESY preprint 84-027, March 1984.
Wetzel W.: Nucl. Phys. B227 (1983) 1.
Igarashi M., Nakazawa N., Shimada T., Shimizu Y.: Electroweak corrections to muon pair production in electron-positron annihilation at high energy. Preprint TKU-HEP 84/01, Tokyo, January 1984 (revised October 1984).
Hooft G., Veltman M.: Nucl. Phys. B44 (1972) 189.
Baulieu L., Coquereaux R.: Ann. Phys. (N. Y.)140 (1982) 163.
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Czyż, H., Sładkowski, J. & Zrałek, M. On-shell renormalization for particles with mixing. Czech J Phys 37, 897–910 (1987). https://doi.org/10.1007/BF01596988
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DOI: https://doi.org/10.1007/BF01596988