2013/01/31 by Nora Brambilla, Felix Karbstein, Antonio Vairo · 2 citations
Mathematics · Physics and Astronomy · #Effective field theory #Energy (signal processing) #Excited state #Geometry #High-Energy Particle Collisions Research #Homogeneous space #Mathematical physics #Mathematics #Octet #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Renormalization group #Singlet state #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.87.074014
published as Phys. Rev. D 87, 074014 (2013) · 27 pages, 3 figures; matches journal version
openalex publication_date 2013/04/12 · arxiv created 2013/04/15 · arxiv updated 2013/04/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the symmetries of the three-heavy-quark system under exchange of the quark fields within the effective field theory framework of potential nonrelativistic 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 \ensuremathαs4ln\ensuremathμ, and consequently to the static energy, which is of order \ensuremathαs4ln\ensuremathαs. 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.