Quartic Mass Corrections to $R_{had}$

Details Quartic Mass Corrections to $R_{had}$ Quartic Mass Corrections to $R_{had}$

1994-06-13

arxiv.org/abs/hep-ph/9406299v1

Nucl.Phys.B432:337-350,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTex (uses epsf.sty, figures appended as uuencoded ps- and eps-files). A complete postscript file, including figure

Scientific paper

10.1016/0550-3213(94)90605-X

The influence of nonvanishing quark masses on the total cross section in electron positron collisions and on the $Z$ decay rate is calculated. The corrections are expanded in $m^2/s$ and $\as$. Methods similar to those applied for the quadratic mass terms allow to derive the corrections of order $\as m^4/s^2$ and $\as^2m^4/s^2$. Coefficients which depend logarithmically on $m^2/s$ and which cannot be absorbed in a running quark mass arise in order $\as^2$. The implications of these results on electron positron annihilation cross sections at LEP and at lower energies in particular between the charm and the bottom threshold and for energies several GeV above the $b\bar b$ threshold are discussed.

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