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

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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(\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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2025 1

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representative citing papers

Triple top baryon $\Omega_{ttt}$

hep-ph · 2025-08-26 · conditional · novelty 5.0

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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  • Triple top baryon $\Omega_{ttt}$ hep-ph · 2025-08-26 · conditional · none · ref 7 · internal anchor

    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.