Abstract
The probability of W-boson decay into a lepton and a neutrino, \(W^ \pm \to \ell ^ \pm \bar \nu _\ell \), in a strong electromagnetic field is calculated. On the basis of the method for deriving exact solutions to relativistic wave equations for charged particles, an exact analytic expression is obtained for the partial decay width \(\Gamma () = \Gamma (W^ + \to \ell ^ + \bar \upsilon _\ell )\) at an arbitrary value of the external-field-strength parameter \( = eM_W^{ - 3} \sqrt { - (F_{\mu \upsilon } q^\upsilon )^2 } \). It is found that, in the region of comparatively weak fields (ϰ≪1), field-induced corrections to the standard decay width of theW boson in a vacuum are about a few percent. As the external-field-strength parameter is increased, the partial width with respect to W-boson decay through the channel in question, Γ(ϰ), first decreases, the absolute minimum of Γmin=0.926Γ(0) being reached at ϰ=0.6116. A further increase in the external-field strength leads to a monotonic growth of the decay width of the W boson. In superstrong fields (ϰ≫1), the partial width with respect to W boson decay is greater than the corresponding partial width \(\Gamma ^{(0)} (W^ \pm \to \ell ^ \pm \bar \upsilon _\ell )\) in a vacuum by a factor of a few tens.
Similar content being viewed by others
References
Z. Kunszt, W. J. Stirling, et al., in Physics at LEP-2, Ed. by G. Altarelli, T. Sjöstrand, and F. Zwirner, CERN Report 96-01, Vol. 1, p. 141; hep-ph/9602352.
W. Beenakker, F. A. Berends, et al., in Physics at LEP-2, Ed. by G. Altarelli, T. Sjöstrand, and F. Zwirner, CERN Report 96-01, Vol. 1, p. 81; hep-ph/9602351.
K. Hagiwara et al. (Particle Data Group), Phys. Rev. D 66, 01001 (2002).
A. V. Kurilin, Nuovo Cimento A 112, 977 (1999); hep-ph/0210194.
K. Hagiwara et al., Nucl. Phys. B 282, 253 (1987).
W. J. Marciano and A. Sirlin, Phys. Rev. D 8, 3612 (1973); W. J. Marciano and D. Wyler, Z. Phys. C 3, 181 (1979); D. Albert, W. J. Marciano, D. Wyler, and Z. Parsa, Nucl. Phys. B 166, 460 (1980).
K. Inoue, A. Kakuto, H. Komatsu, and S. Takeshita, Prog. Theor. Phys. 64, 1008 (1980).
M. Consoli, S. L. Presti, and L. Maiani, Nucl. Phys. B 223, 474 (1983).
D. Yu. Bardin, S. Riemann, and T. Riemann, Z. Phys. C 32, 121 (1986).
F. Jegerlehner, Z. Phys. C 32, 425 (1986); 38, 519 (E) (1988).
J. W. Jun and C. Jue, Mod. Phys. Lett. A 6, 2767 (1991).
A. Denner and T. Sack, Z. Phys. C 46, 653 (1990); A. Denner, Fortschr. Phys. 41, 307 (1993).
T. H. Chang, K. J. F. Gaemers, and W. L. van Neerven, Nucl. Phys. B 202, 407 (1982).
T. Alvarez, A. Leites, and J. Terron, Nucl. Phys. B 301, 1 (1988).
J. Rosner, M. Worah, and T. Takeuchi, Phys. Rev. D 49, 1363 (1994).
D.-S. Shin, Nucl. Phys. B 449, 69 (1995).
S. P. Moller, CERN Report 94-05.
A. V. Kurilin, Yad. Fiz. 57, 1129 (1994) [Phys. At. Nucl. 57, 1066 (1994)]; Int. J. Mod. Phys. A 9, 4581 (1994).
V. I. Ritus and A. I. Nikishov, Quantum Electrodynamics of Phenomena in Strong Fields, Tr. FIAN SSSR 111 (1979); V. I. Ritus, Zh. Éksp. Teor. Fiz. 56, 986 (1969); V. R. Khalilov, Yu. I. Klimenko, O. S. Pavlova, and É. Yu. Klimenko, Yad. Fiz. 41, 756 (1985) [Sov. J. Nucl. Phys. 41, 482 (1985)].
N. K. Nielsen and P. Olesen, Nucl. Phys. B 144, 376 (1978).
A. Salam and J. Strathdee, Nucl. Phys. B 90, 203 (1975).
S. G. Matinyan and G. K. Savvidi, Yad. Fiz. 25, 218 (1977) [Sov. J. Nucl. Phys. 25, 118 (1977)]; I. A. Batalin, S. G. Matinyan, and G. K. Savvidi, Yad. Fiz. 26, 407 (1977) [Sov. J. Nucl. Phys. 26, 214 (1977)]; S. G. Matinyan and G. K. Savvidy, Nucl. Phys. B 134, 539 (1978); G. K. Savvidy, Phys. Lett. B 71B, 133 (1977).
V. V. Skalozub, Yad. Fiz. 21, 1337 (1975) [Sov. J. Nucl. Phys. 21, 690 (1975)]; 28, 228 (1978) [Sov. J. Nucl. Phys. 28, 113 (1978)]; 35, 782 (1982) [Sov. J. Nucl. Phys. 35, 453 (1982)].
J. Ambjørn and P. Olesen, Phys. Lett. B 218, 67 (1989); Nucl. Phys. B 315, 606 (1989); 330, 193 (1990).
A. V. Borisov, V. Ch. Zhukovskii, A. V. Kurilin, and A. I. Ternov, Yad. Fiz. 41, 743 (1985) [Sov. J. Nucl. Phys. 41, 473 (1985)].
V. Ch. Zhukovskii and A. V. Kurilin, Yad. Fiz. 48, 179 (1988) [Sov. J. Nucl. Phys. 48, 114 (1988)].
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965, 1971; Nauka, Moscow, 1979).
Author information
Authors and Affiliations
Additional information
__________
Translated from Yadernaya Fizika, Vol. 67, No. 11, 2004, pp. 2116–2122.
Original Russian Text Copyright © 2004 by Kurilin.
Rights and permissions
About this article
Cite this article
Kurilin, A.V. Leptonic decays of the W boson in a strong electromagnetic field. Phys. Atom. Nuclei 67, 2095–2100 (2004). https://doi.org/10.1134/1.1825534
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1825534