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

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arxiv 1301.3013 v2 pith:MSRQRDLF submitted 2013-01-14 hep-ph nucl-th

classification hep-phnucl-th
keywords staticalphapotentialsymmetriesthreecolor-singleteffectiveenergy
verification ladder T0 review T1 audit T2 compute T3 formal
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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(\mu), 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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Triple top baryon $\Omega_{ttt}$

    hep-ph 2025-08 conditional novelty 5.0 of 10

    The triple-top baryon Ωttt is predicted to have mass 513.58 GeV, binding energy 4.13 GeV, and a dominant W+W+W+bbb decay, with production cross sections too small to observe at near-future colliders.

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