S. Herrlich et U. Nierste, ENHANCEMENT OF THE K(L)-K(S) MASS DIFFERENCE BY SHORT-DISTANCE QCD CORRECTIONS BEYOND LEADING LOGARITHMS, Nuclear physics. B, 419(2), 1994, pp. 292-322
We calculate the next-to-leading order short-distance QCD corrections
to the coefficient eta1 of the effective DELTAS = 2 hamiltonian in the
standard model. This part dominates the short-distance contribution (
DELTAm(K))SD to the K(L)-K(S) mass difference. The next-to-leading ord
er result enhances eta1 and (DELTAm(K))SD by 20% compared to the leadi
ng order estimate. Taking 0.200 GeV less-than-or-equal-to LAMBDA(MSBAR
) less-than-or-equal-to 0.350 GeV and 1.35 GeV less-than-or-equal-to m
(c)(m(c)) less-than-or-equal-to 1.45 GeV we obtain 0.922 less-than-or-
equal-to eta1NLO less-than-or-equal-to 1.419 compared to 0.834 eta1LO
less-than-or-equal-to 1.138. For B(K) = 0.7 this corresponds to (48-75
)% of the experimentally observed mass difference. The inclusion of ne
xt-to-leading order corrections to eta1 reduces considerably the theor
etical uncertainty related to the choice of renormalization scales.