<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></math></span> Annihilation in Gauge Theories of Strong Interactions

Thomas Appelquist; Howard Georgi

doi:10.1103/PhysRevD.8.4000

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$e^{+} e^{-}$ Annihilation in Gauge Theories of Strong Interactions

Thomas Appelquist and Howard Georgi

Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

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Phys. Rev. D 8, 4000 – Published 1 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4000

Abstract

We discuss the behavior of the $e^{+} e^{-}$ total annihilation cross section into hadrons in a class of non-Abelian vector gluon theories. Using the quasi-free-field behavior of these theories in the deep Euclidean region, we show that the asymptotic behavior of $σ_{tot}^{e^{+} e^{-}}$ is that of the parton model. Nonleading corrections fall off relative to this leading term like inverse powers of logarithms with calculable coefficients. The problem of making more detailed statements about the final state is discussed.

References (13)

H. David Politzer, Phys. Rev. Lett. 30, 1346 (1973)
David J. Gross and Frank Wilczek, Phys. Rev. Lett. 30, 1343 (1973)
G.'t Hooft, unpublished paper announced at the Marseilles Conference on Gauge Theories, Marseilles, France, June 1972
K. G. Wilson, Phys. Rev. D 3, 1818 (1971)
S. Weinberg, Phys. Rev. 140, B516 (1965)
[2]
H. Pagels, Phys. Rev. D 7, 3689 (1973) R. Jackiw and K. Johnson, 8, 2386 (1973)
W. Bardeen, M. Gell-Mann, and H. Fritzsch, CERN Report No. TH1538, 1972 (unpublished)
M. Gell-Mann and F. Low, Phys. Rev. 95, 1300 (1954) [C. Callan, Phys. Rev. D 2, 1541 (1970) K. Symanzik, Commun. Math. Phys. 18, 227 (1970)]
T. Kinoshita, J. Math. Phys. 3, 650 (1962) T. D. Lee and M. Nauenberg, Phys. Rev. 133, B1549 (1964)
R. Jost and J. M. Luttinger, Helv. Phys. Acta 23, 201 (1950)
N. Cabibbo, G. Parisi, and M. Testa, Nuovo Cimento Lett. 4, 35 (1970)
N. Christ, B. Hasslacher, and A. H. Mueller, Phys. Rev. D 6, 3543 (1972)

[c1] H. David Politzer, Phys. Rev. Lett. 30, 1346 (1973)

[c2] David J. Gross and Frank Wilczek, Phys. Rev. Lett. 30, 1343 (1973)

[c3] G.'t Hooft, unpublished paper announced at the Marseilles Conference on Gauge Theories, Marseilles, France, June 1972

[c4] K. G. Wilson, Phys. Rev. D 3, 1818 (1971)

[c5] S. Weinberg, Phys. Rev. 140, B516 (1965)

[c6] [2]

[c7] H. Pagels, Phys. Rev. D 7, 3689 (1973) R. Jackiw and K. Johnson, 8, 2386 (1973)

[c8] W. Bardeen, M. Gell-Mann, and H. Fritzsch, CERN Report No. TH1538, 1972 (unpublished)

[c9] M. Gell-Mann and F. Low, Phys. Rev. 95, 1300 (1954) [C. Callan, Phys. Rev. D 2, 1541 (1970) K. Symanzik, Commun. Math. Phys. 18, 227 (1970)]

[c10] T. Kinoshita, J. Math. Phys. 3, 650 (1962) T. D. Lee and M. Nauenberg, Phys. Rev. 133, B1549 (1964)

[c11] R. Jost and J. M. Luttinger, Helv. Phys. Acta 23, 201 (1950)

[c12] N. Cabibbo, G. Parisi, and M. Testa, Nuovo Cimento Lett. 4, 35 (1970)

[c13] N. Christ, B. Hasslacher, and A. H. Mueller, Phys. Rev. D 6, 3543 (1972)

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e+e− Annihilation in Gauge Theories of Strong Interactions

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$e^{+} e^{-}$ Annihilation in Gauge Theories of Strong Interactions