Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-01-31
Phys.Rev. D51 (1995) 5251-5255
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 10 pages + 1 figure (appended as a PostScript file)
Scientific paper
10.1103/PhysRevD.51.5251
We point out that, contrary to some recent claims, there is no intrinsic long-distance uncertainty in perturbative calculation of the QCD effects in the $t \tb$ and $t \bb$ loops giving the electroweak corrections proportional to $m_t^2$. If these corrections are expressed in terms of the ``on-shell" mass $m_t$, the only ambiguity arising is that associated with the definition of the ``on-shell" mass of a quark. The latter is entirely eliminated if the result is expressed in terms of $m_t$ defined at short distances. Applying the Brodsky-Lepage-Mackenzie criterion for determining the natural scale for normalization of $\as$, we find that using the ``on-shell" mass makes this scale numerically small in units of $m_t$. Specifically, we find that by this criterion the first QCD correction to the $O(m_t^2)$ terms is determined by $\as^\msb(0.15 m_t)$. Naturally, a full calculation of three-loop graphs is needed to completely quantify the scale.
Smith Brian H.
Voloshin Mikhail B.
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