Determination of electroweak parameters from the elastic scattering of muon neutrinos and antineutrinos on electrons

L. A. Ahrens; S. H. Aronson; P. L. Connolly; B. G. Gibbard; M. J. Murtagh; S. J. Murtagh; S. Terada; D. H. White; J. L. Callas; D. Cutts; M. V. Diwan; J. S. Hoftun; B. W. Hughlock; R. E. Lanou; T. Shinkawa; Y. Kurihara; K. Amako; S. Kabe; Y. Nagashima; Y. Suzuki; S. Tatsumi; Y. Yamaguchi; K. Abe; E. W. Beier; D. C. Doughty; L. S. Durkin; S. M. Heagy; M. Hurley; A. K. Mann; F. M. Newcomer; H. H. Williams; T. York; D. Hedin; M. D. Marx; E. Stern

doi:10.1103/PhysRevD.41.3297

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Determination of electroweak parameters from the elastic scattering of muon neutrinos and antineutrinos on electrons

L. A. Ahrens, S. H. Aronson, P. L. Connolly^a, B. G. Gibbard, M. J. Murtagh, S. J. Murtagh^b, S. Terada^c, and D. H. White^d

J. L. Callas^e, D. Cutts, M. V. Diwan^f, J. S. Hoftun, B. W. Hughlock^g, R. E. Lanou, and T. Shinkawa^h

Y. Kurihara^h

K. Amako and S. Kabe

Y. Nagashima, Y. Suzukiⁱ, S. Tatsumi^j, and Y. Yamaguchi^k

K. Abe^h, E. W. Beier, D. C. Doughty^l, L. S. Durkin^m, S. M. Heagyⁿ, M. Hurley^o, A. K. Mann, F. M. Newcomer, H. H. Williams et al.

D. Hedin^q, M. D. Marx, and E. Stern^r

Physics Department, Brookhaven National Laboratory, Upton, New York 11973

Department of Physics, Brown University, Providence, Rhode Island 02912

Department of Physics, Hiroshima University, Hiroshima 730, Japan

National Laboratory for High Energy Physics (KEK), Ibaraki-Ken 305, Japan

Physics Department, Osaka University, Toyanaka, Osaka 560, Japan

T. York^p

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

Department of Physics, State University of New York, Stony Brook, New York, 11794

^aDeceased.
^bNow at Singer Co., Kearfott Div., Wayne, NJ 07470.
^cNow at Department of Physics, Hiroshima University, Hiroshima 730, Japan.
^dNow at Los Alamos National Laboratory, Los Alamos, NM 87545.
^eNow at Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91125.
^fNow at Department of Physics, Stanford University, Stanford, CA 94305.
^gNow at Grumman Aerospace, Bethpage, Long Island, NY 11793.
^hNow at National Laboratory for High Energy Physics (KEK), Ibaraki-Ken 305, Japan.
ⁱNow at Institute for Cosmic Ray Research, University of Tokyo, Tokyo 118, Japan.
^jNow at Sumitomo Heavy Industry, Tokyo, Japan.
^kNow at Toshiba, Kawasaki 210, Japan.
^lNow at Department of Physics, Christopher Newport College, Newport News, VA 23606.
^mNow at Department of Physics, Ohio State University, Columbus, OH 43210.
ⁿNow at Lockheed Aerospace Corp., Sunnyvale, CA 94304.
^oNow at Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, MA 02173.
^pNow at Laboratory for Nuclear Studies, Cornell University, Ithaca, NY 14853.
^qNow at Department of Physics, Northern Illinois University, Dekalb, IL 60115.
^rNow at Department of Physics, University of Pittsburgh, Pittsburgh, PA 15260.

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Phys. Rev. D 41, 3297 – Published 1 June, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3297

Abstract

Total and differential cross sections for $ν_{μ} e \to ν_{μ} e$ and ${\bar{ν}}_{μ} e \to {\bar{ν}}_{μ} e$ are measured. Values for the model-independent neutral-current couplings of the electron are found to be $g_{V} = - 0.107 \pm 0.035 (stat) \pm 0.028 (syst)$ and $g_{A} = - 0.514 \pm 0.023 (stat) \pm 0.028 (syst)$ . The electroweak mixing parameter ${sin}^{2} θ_{W}$ is determined to be 0.195±0.018(stat)±0.013(syst). Limits are set for the charge radius and magnetic moment of the neutrino as $(〈 r^{2} 〉) < 0.24 \times 10^{- 32}$ ${cm}^{2}$ and $f_{μ} < 0.85 \times 10^{- 9}$ Bohr magnetons, respectively.

References (29)

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[c1] L. A. Ahrens et al., Nucl. Instrum. Methods A254, 515 (1987)

[c2] S. L. Glashow, Nucl. Phys. 22, 579 (1961)

[c3] A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968)

[c4] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967)

[c5] L. A. Ahrens et al., Phys. Rev. D 34, 75 (1986)

[c6] L. A. Ahrens et al., Phys. Rev. D 23, 2732 (1985)

[c7] B. W. Hughlock, Ph.D. thesis, Brown University, 1983

[c8] S. Tatsumi, Ph.D. thesis, Osaka University, 1984

[c9] D. C. Doughty, Ph.D. thesis, University of Pennsylvania, 1984

[c10] L. A. Ahrens et al., Phys. Rev. D 35, 785 (1987) E. G. Stern, Ph.D. thesis, State University of New York at Stony Brook, 1986

[c11] M. B. Hurley, Ph.D. thesis, University of Pennsylvania, 1984

[c12] J. L. Callas, Ph.D. thesis, Brown University, 1987

[c13] K. Abe et al., Phys. Rev. Lett. 58, 636 (1987)

[c14] L. A. Ahrens et al., Phys. Rev. Lett. 51, 1514 (1983)

[c15] L. A. Ahrens et al., Phys. Rev. Lett. 54, 18 (1985)

[c16] K. Abe et al., Phys. Rev. Lett. 62, 1709 (1989) , ibid. 58, 636 (1987) [12]

[c17] M. V. Diwan, Brown University Report No. C00-3130TC-38, 1988 (unpublished)

[c18] R. L. Ford and W. P. Nelson, Stanford University Report No. SLAC-210 EGS, Version IV (unpublished)

[c19] D. Rein and L. M. Sehgal, Ann. Phys. (N.Y.) 133, 79 (1981)

[c20] C. H. Llewelyn Smith, Phys. Rep. 3C, 261 (1972)

[c21] F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975)

[c22] U. Amaldi et al., Phys. Rev. D 36, 1385 (1987)

[c23] N. J. Baker et al., Phys. Rev. D 23, 2499 (1981)

[c24] F. Reines, H. S. Gurr, and H. W. Sobel, Phys. Rev. Lett. 37, 315 (1976) W. Krenz, Aachen University Report No. PITHA 82/26, 1982 (unpublished) R. C. Allen et al., Phys. Rev. Lett. 55, 2401 (1985)

[c25] CELLO Collaboration, H. J. Behrend et al., Z. Phys. C 16, 301 (1983) JADE Collaboration, W. Bartel et al., Phys. Lett. 99B, 281 (1981) Mark J Collaboration, D. P. Barber et al., Phys. Rev. Lett. 46, 1663 (1981) TASSO Collaboration, R. Brandelik et al., Phys. Lett. 117B, 365 (1982)

[c26] J. E. Kim, V. Mathur, and S. Okubo, Phys. Rev. D 9, 3050 (1974) J. E. Kim, ibid. 14, 3000 (1976) B. W. Lee and R. E. Shrock, ibid. 16, 1444 (1977) W. J. Marciano and A. I. Sanda, Phys. Lett. 67B, 303 (1977) M. A. Beg et al., Phys. Rev. D 17, 1395 (1978) M. Mohopatra and R. Marshak, Phys. Lett. 91B, 222 (1980) D. Grosser, ibid. 166B, 340 (1986) M. J. Duncan et al., University of Pennsylvania and University of Barcelona reports, 1987 (unpublished) R. Shrock, Nucl. Phys. B206, 259 (1982) S. T. Petcov, Phys. Lett. 115B, 401 (1983)

[c27] J. E. Kim, V. Mathur, and S. Okubo, Phys. Rev. D 9, 3050 (1974) A. V. Kyuldiev, Nucl. Phys. B243, 387 (1984) T. Kebbeker, Ph.D. thesis, University Hamburg, 1986

[c28] J. Bernstein, M. Ruderman, and G. Feinberg, Phys. Rev. 132, 1227 (1963) K. Fujikawa and R. E. Shrock, Phys. Rev. Lett. 45, 963 (1980) J. Morgan, Phys. Lett. 102B, 247 (1981) M. Fukugita et al., Berkeley Astrophysics report, 1987

[c29] CHARM-I Collaboration, J. Dorenbosch et al., Z. Phys. C 41, 567 (1989)

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Determination of electroweak parameters from the elastic scattering of muon neutrinos and antineutrinos on electrons

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