Spin-dependent potential between heavy quark and antiquark

Abstract

A new formula for the heavy quark-antiquark spin dependent potential is given by using the techniques developed in the heavy quark effective theory. The leading logarithmic quark mass terms emerging from the loop contributions are explicitly extracted and summed up. There is no renormalization scale ambiguity in this new formula. The spin-dependent potential in the new formula is expressed in terms of three independent color-electric and color-magnetic field correlation functions, and it includes both the Eichten-Feinberg's formula and the one-loop QCD result as special cases.

The static potential in QCD — a full two-loop calculation

“…The static QED potential thus should be derivable from the scattering matrix of HEET, correspondingly the QCD potential from HQET, and this is in fact what is done in practice. This approach can even be used to determine the spin-dependent corrections to the potential [6].…”

QCD heavy-quark potential to orderv2:One loop matching conditions

“…(31) and (32) from Eq. (30) and setting µ = µ S = µ U = m gives the one-loop matching contribution for the order v 0 direct potentials. At order v 0 we find that all the infrared divergences in QCD are matched by infrared divergences from the effective theory graphs with ultrasoft gluons.…”

Heavy quarkonia: Wilson area law, stochastic vacuum model, and dual QCD

“…So, in this framework the following (MAL) static and velocity dependent potential were obtained: 8) and the explicit expressions for the potentials are: The MAL model strictly corresponds to the Buchmüller picture [3] where the magnetic field in the comoving system is taken to be equal to zero. Let us first notice that the perimeter contributions at the 1/m 2 order can be simply absorbed in a redefinition of the quark masses m j → m j + C/2 (for details see [14]).…”

“…6). Recently the spin-dependent potential was also studied in the context of the Heavy Quark Effective Theory [8].…”