Subleading QCD corrections to the <i>K</i>-<i>K¯</i> system

J.-M. Frère; William A. Kaufman; York-Peng Yao

doi:10.1103/PhysRevD.36.809

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Subleading QCD corrections to the K-K¯ system

J.-M. Frère

William A. Kaufman

York-Peng Yao

Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120

Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120 and Department of Physics, The University of Colorado, Boulder, Colorado 80309

Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120

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Phys. Rev. D 36, 809 – Published 1 August, 1987

DOI: https://doi.org/10.1103/PhysRevD.36.809

Abstract

We compute the corrections of order $α_{QCD}$ and $α_{QCD^{2} \ln M_{W}^{2}}$ to the usual KK¯ box diagram. The results deviate significantly from the lower-order calculation.

References (7)

F. J. Gilman and M. B. Wise, Phys. Rev. D 27, 1128 (1983).
M. I. Vysotskii, Yad. Fiz. 31, 1535 (1980) [Sov. J. Nucl. Phys. 31, 797 (1980)].
J. Donoghue, E. Golowich and G. Valencia, Phys. Rev. D 33, 1387 (1986); J. O. Eeg and I. Picek, Phys. Lett. 160B, 154 (1985); ibid. 177B, 432 (1986).
Y. Kazama and Y. P. Yao, Phys. Rev. D 25, 1605 (1982).
G. Altarelli, G. Curci, G. Martinelli and S. Petrarca, Nucl. Phys. B187, 461 (1981).
See, e.g., J. F. Donoghue, E. Golowich and B. Holstein, Phys. Rep. 131, 319 (1986).
J.-M. Fre`re, J. Hagelin and A. I. Sanda, Phys. Lett. 151B, 161 (1985). (Note that an unusual choice of the η η prime mixing angle here led to a different choice of relative sign for $η_{0}$ , η prime, and a negative value for rho. Within that convention, a negative rho is in agreement with the spectator quark model.)

[c1] F. J. Gilman and M. B. Wise, Phys. Rev. D 27, 1128 (1983).

[c2] M. I. Vysotskii, Yad. Fiz. 31, 1535 (1980) [Sov. J. Nucl. Phys. 31, 797 (1980)].

[c3] J. Donoghue, E. Golowich and G. Valencia, Phys. Rev. D 33, 1387 (1986); J. O. Eeg and I. Picek, Phys. Lett. 160B, 154 (1985); ibid. 177B, 432 (1986).

[c4] Y. Kazama and Y. P. Yao, Phys. Rev. D 25, 1605 (1982).

[c5] G. Altarelli, G. Curci, G. Martinelli and S. Petrarca, Nucl. Phys. B187, 461 (1981).

[c6] See, e.g., J. F. Donoghue, E. Golowich and B. Holstein, Phys. Rep. 131, 319 (1986).

[c7] J.-M. Fre`re, J. Hagelin and A. I. Sanda, Phys. Lett. 151B, 161 (1985). (Note that an unusual choice of the η η prime mixing angle here led to a different choice of relative sign for $η_{0}$ , η prime, and a negative value for rho. Within that convention, a negative rho is in agreement with the spectator quark model.)

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Subleading QCD corrections to the K-K¯ system

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