Transverse versus longitudinal polarization effects in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mo>→</mo><mrow><msup><mrow><mi>W</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>W</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow></math></span>

J. Fleischer; K. Kołodziej; F. Jegerlehner

doi:10.1103/PhysRevD.49.2174

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Transverse versus longitudinal polarization effects in $e^{+} e^{-} \to W^{+} W^{-}$

J. Fleischer and K. Kołodziej^*

F. Jegerlehner

Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany

Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

^*On leave from the Institute of Physics, University of Silesia, PL 40-007 Katowice, ul. Uniwersytecka 4, Poland.

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Phys. Rev. D 49, 2174 – Published 1 March, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.2174

Abstract

We investigate transverse beam polarization in $e^{+} e^{-} \to W^{+} W^{-}$ including radiative corrections and hard bremsstrahlung. The fact that transversal polarization provides an important tool for investigating longitudinal $W$ physics is emphasized. Results are discussed in the context of other polarization effects. We argue that, if deviations from the standard model are small, the best tool to study triple gauge boson couplings precisely is a high luminosity $e^{+} e^{-}$ collider which allows us to scan the peak of the cross section up to about 300 GeV.

References (19)

O. P. Sushkov, V. V. Flambaum, and I. B. Khriplovick, Yad. Fiz. 20, 1016 (1974) [Sov. J. Nucl. Phys. 20, 537 (1975)] W. Alles, Ch. Boyer, and A. J. Buras, Nucl. Phys. B119, 125 (1977) P. Méry and M. Perrottet, ibid. B175, 234 (1980) I. F. Ginzburg et al., ibid. B228, 285 (1983) K. Hagiwara, R. D. Peccei, D. Zeppenfeld, and K. Hikasa, ibid. B282, 253 (1987)
C. L. Bilchak and J. D. Stroughair, Phys. Rev. D 30, 1881 (1984) M. Kuroda, F. M. Renard, and D. Schildknecht, Phys. Lett. B 183, 366 (1986) P. Méry, M. Perrottet, and F. M. Renard, Z. Phys. C 36, 249 (1987)
C. H. Lewellyn Smith, Phys. Lett. 46B, 233 (1973) J. S. Bell, Nucl. Phys. B60, 427 (1973) J. M. Cornwall, D. N. Levin, and G. Tiktopoulos, Phys. Rev. Lett. 30, 1268 (1973) ibid.31, 572(E) (1973) Phys. Rev. D 10, 1145 (1974)
Ch. Ahn, M. E. Peskin, B. W. Lynn, and S. Selipsky, Nucl. Phys. B309, 221 (1988)
J. F. Gunion and Z. Kunszt, Phys. Rev. D 33, 665 (1986) A. Aeppli and D. Wyler, Phys. Lett. B 262, 125 (1991) J. C. Romão and P. Nogueira, Z. Phys. C 42, 263 (1989) D. Bardin, A. Olchevski, M. Bilenky, and T. Riemann, Phys. Lett. B 308, 403 (1993)
M. Lemoine and M. Veltman, Nucl. Phys. B164, 445 (1980) M. Böhm, A. Denner, T. Sack, W. Beenakker, F. Berends, and H. Kuijf, ibid. B304, 463 (1988)
J. Fleischer, F. Jegerlehner, and M. Zrałek, Z. Phys. C 42, 409 (1989)
W. Beenakker, K. Kołodziej, and T. Sack, Phys. Lett. B 258, 469 (1991)
J. Fleischer, K. Kołodziej, and F. Jegerlehner, Phys. Rev. D 47, 830 (1993)
A. Blondel et al., in Proceedings of the ECFA Workshop on LEP 200, Aachen, West Germany, 1986, edited by A. Böhm and W. Hoogland (CERN Report No. 87-08, Geneva, Switzerland, 1987), Vol. I, p. 120
J. K. F. Gaemers and G. J. Gounaris, Z. Phys. C 1, 259 (1979)
F. M. Renard, Basics of $e^{+}$ $e^{-}$ Collisions (Editions Frontières, Paris, 1981)
K. Hikasa, Phys. Rev. D 33, 3203 (1986)
G. P. Lepage, J. Comput. Phys. 27, 192 (1978) Cornell University Report No. CLNS-80/447, 1980 (unpublished)
G. Bonneau and F. Martin, Nucl. Phys. B27, 381 (1971) M. Greco, G. Pancheri, and Y. Srivastava, ibid. B171, 118 (1980) ibid.B197, 543(E) (1982) F. A. Berends, R. Kleiss, and S. Jadach, ibid. B202, 63 (1982) M. Böhm and W. Hollik, ibid. B204, 45 (1982)
F. A. Berends, G. Burgers, and W. L. van Neerven, Phys. Lett. B 177, 191 (1986) Nucl. Phys. B297, 429 (1988) ibid.B304, 921(E) (1988) F. A. Berends, in Radiative Corrections for $e^{+}$ $e^{-}$ Colliders, Proceedings of the Workshop, Ringberg Castle, Germany, 1989, edited by J. H. Kühn (Springer, Berlin, 1989) F. A. Berends et al., in Z Physics at LEP 1, Proceedings of the Workshop, Geneva, Switzerland, 1989, edited by G. Altarelli (CERN Yellow Report No. 89-08, Geneva, 1989)
R. Kleiss, Z. Phys. C 33, 433 (1987) Greco, Pancheri, and Srivastava [15] Böhm and Hollik [15]
F. Jegerlehner, in Testing the Standard Model, edited by M. Cvetič and P. Langacker (World Scientific, Singapore, 1991), p. 569
G. J. van Oldenborg and J. A. M. Vermaseren, Z. Phys. C 46, 425 (1990) G. J. van Oldenborgh, Comput. Phys. Commun. 66, 1 (1991)

[c1] O. P. Sushkov, V. V. Flambaum, and I. B. Khriplovick, Yad. Fiz. 20, 1016 (1974) [Sov. J. Nucl. Phys. 20, 537 (1975)] W. Alles, Ch. Boyer, and A. J. Buras, Nucl. Phys. B119, 125 (1977) P. Méry and M. Perrottet, ibid. B175, 234 (1980) I. F. Ginzburg et al., ibid. B228, 285 (1983) K. Hagiwara, R. D. Peccei, D. Zeppenfeld, and K. Hikasa, ibid. B282, 253 (1987)

[c2] C. L. Bilchak and J. D. Stroughair, Phys. Rev. D 30, 1881 (1984) M. Kuroda, F. M. Renard, and D. Schildknecht, Phys. Lett. B 183, 366 (1986) P. Méry, M. Perrottet, and F. M. Renard, Z. Phys. C 36, 249 (1987)

[c3] C. H. Lewellyn Smith, Phys. Lett. 46B, 233 (1973) J. S. Bell, Nucl. Phys. B60, 427 (1973) J. M. Cornwall, D. N. Levin, and G. Tiktopoulos, Phys. Rev. Lett. 30, 1268 (1973) ibid.31, 572(E) (1973) Phys. Rev. D 10, 1145 (1974)

[c4] Ch. Ahn, M. E. Peskin, B. W. Lynn, and S. Selipsky, Nucl. Phys. B309, 221 (1988)

[c5] J. F. Gunion and Z. Kunszt, Phys. Rev. D 33, 665 (1986) A. Aeppli and D. Wyler, Phys. Lett. B 262, 125 (1991) J. C. Romão and P. Nogueira, Z. Phys. C 42, 263 (1989) D. Bardin, A. Olchevski, M. Bilenky, and T. Riemann, Phys. Lett. B 308, 403 (1993)

[c6] M. Lemoine and M. Veltman, Nucl. Phys. B164, 445 (1980) M. Böhm, A. Denner, T. Sack, W. Beenakker, F. Berends, and H. Kuijf, ibid. B304, 463 (1988)

[c7] J. Fleischer, F. Jegerlehner, and M. Zrałek, Z. Phys. C 42, 409 (1989)

[c8] W. Beenakker, K. Kołodziej, and T. Sack, Phys. Lett. B 258, 469 (1991)

[c9] J. Fleischer, K. Kołodziej, and F. Jegerlehner, Phys. Rev. D 47, 830 (1993)

[c10] A. Blondel et al., in Proceedings of the ECFA Workshop on LEP 200, Aachen, West Germany, 1986, edited by A. Böhm and W. Hoogland (CERN Report No. 87-08, Geneva, Switzerland, 1987), Vol. I, p. 120

[c11] J. K. F. Gaemers and G. J. Gounaris, Z. Phys. C 1, 259 (1979)

[c12] F. M. Renard, Basics of $e^{+}$ $e^{-}$ Collisions (Editions Frontières, Paris, 1981)

[c13] K. Hikasa, Phys. Rev. D 33, 3203 (1986)

[c14] G. P. Lepage, J. Comput. Phys. 27, 192 (1978) Cornell University Report No. CLNS-80/447, 1980 (unpublished)

[c15] G. Bonneau and F. Martin, Nucl. Phys. B27, 381 (1971) M. Greco, G. Pancheri, and Y. Srivastava, ibid. B171, 118 (1980) ibid.B197, 543(E) (1982) F. A. Berends, R. Kleiss, and S. Jadach, ibid. B202, 63 (1982) M. Böhm and W. Hollik, ibid. B204, 45 (1982)

[c16] F. A. Berends, G. Burgers, and W. L. van Neerven, Phys. Lett. B 177, 191 (1986) Nucl. Phys. B297, 429 (1988) ibid.B304, 921(E) (1988) F. A. Berends, in Radiative Corrections for $e^{+}$ $e^{-}$ Colliders, Proceedings of the Workshop, Ringberg Castle, Germany, 1989, edited by J. H. Kühn (Springer, Berlin, 1989) F. A. Berends et al., in Z Physics at LEP 1, Proceedings of the Workshop, Geneva, Switzerland, 1989, edited by G. Altarelli (CERN Yellow Report No. 89-08, Geneva, 1989)

[c17] R. Kleiss, Z. Phys. C 33, 433 (1987) Greco, Pancheri, and Srivastava [15] Böhm and Hollik [15]

[c18] F. Jegerlehner, in Testing the Standard Model, edited by M. Cvetič and P. Langacker (World Scientific, Singapore, 1991), p. 569

[c19] G. J. van Oldenborg and J. A. M. Vermaseren, Z. Phys. C 46, 425 (1990) G. J. van Oldenborgh, Comput. Phys. Commun. 66, 1 (1991)

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Transverse versus longitudinal polarization effects in $e^{+} e^{-} \to W^{+} W^{-}$

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Transverse versus longitudinal polarization effects in $e^{+} e^{-} \to W^{+} W^{-}$