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arXiv · 1301.3013

Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL

Nora Brambilla·Felix Karbstein·Antonio Vairo
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Abstract

We study the symmetries of the three heavy-quark system under exchange of the quark fields within the effective field theory framework of potential non-relativistic QCD. The symmetries constrain the form of the matching coefficients in the effective theory. We then focus on the color-singlet sector and determine the so far unknown leading ultrasoft contribution to the static potential, which is of order alpha_s^4 ln(μ), and consequently to the static energy, which is of order alpha_s^4 ln(alpha_s). Finally, in the case of an equilateral geometry, we solve the renormalization group equations and resum the leading ultrasoft logarithms for the static potential of three quarks in a color singlet, octet and decuplet representation.

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Nora Brambilla, Felix Karbstein, Antonio Vairo. 2013-04-15. Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL. https://doi.org/10.1103/physrevd.87.074014

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