Charm Effects in the $\bar{MS}$ Bottom Quark Mass from $Υ$ Mesons

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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7 pages, revtex, 2 postscript figures

Scientific paper

10.1016/S0370-2693(00)00595-5

We study the shift in the $\Upsilon$ mass due to a non-zero charm quark mass. This shift affects the value of the $\bar{\rm MS}$ $b$-quark mass extracted from the $\Upsilon$ system by about -20 MeV, due to an incomplete cancellation of terms that are non-analytic in the charm quark mass. The precise size of the shift depends on unknown higher order corrections, and might have a considerable uncertainty if they are large.

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