This directory contains the results of the paper

K.G. Chetyrkin, R.V. Harlander, J.H. K\"uhn,
"Quartic mass corrections to R_had at O(\alpha_s^3)",
Nucl. Phys. B 586 (2000) 56-72  (hep-ph/0005139)

in a form readable for Mathematica.

Changed on 21 Apr 2002 by R.H.:
  Errors in rQv4 and rQa4 corrected 
  (see hep-ph/0005139v3, and Erratum to be published in Nucl. Phys. B)

The notation is as follows:

r0 = r_0
rq2 = r_{q,2}
rq4 = r_{q,4}
rQv2 = r_{Q,2}^{(v)}
rQv4 = r_{Q,4}^{(v)}
rQa2 = r_{Q,2}^{(a)}
rQa4 = r_{Q,4}^{(a)}
rvsing = r^{(v)}_{sing}
rsing = r_{sing}
rsingp = r'_{sing}

api == \frac{\alpha_s}{\pi}
ms2 == \frac{m_Q^2}{s}
nf  == n_f
lms == l_{ms}
vQ == v_Q
sumvq == \sum_q v_q