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Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation

Gorazd Cvetic
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Abstract

It had been known that the Borel transforms of the twice quark pole mass 2*mq and of the QCD q-barq static potential V(r) have leading infrared renormalons at b=1/2 such that they cancel in the sum. The renormalon residue of 2*mq had been determined with reasonably high precision from the known perturbative coefficients of the ratio mq/(bar mq), where (bar mq) is the barMS renormalon-free mass of the quark q. These values of the residues are used here to estimate the hitherto unknown part of the three-loop coefficient of the static potential V(r). Further, the method takes into account the fact that the ultrasoft energy regime contributions must be excluded from the analysis. In the b-barb quarkonium, aforementioned estimated part of the three-loop term turns out to give a contribution to the binding energy comparable to the nonpertubative contribution.

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Gorazd Cvetic. 2004-04-27. Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation. https://doi.org/10.1088/0954-3899%2F30%2F7%2F003

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