Potential NRQCD: an effective theory for heavy quarkonium

We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar N = 4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion.Moreover, we study analytically the generalized quark-anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

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“…[31] (see also e.g. [32][33][34] for some details of the QCD calculations of the quark-antiquark potential).…”

Section: Jhep12(2016)122mentioning

confidence: 99%

Quark-anti-quark potential in N $$ \mathcal{N} $$ = 4 SYM

Gromov

Levkovich-Maslyuk

2016

J. High Energ. Phys.

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“…2 Since the parton initiating the fragmentation is a colored object, the quarkonium will be produced in association with light hadrons. In this paper we will consider a J/ψ, 3 produced within a jet of energy E and cone size R, in which the J/ψ carries a fraction of the jet energy, z.…”

Section: The Fragmenting Jet Function (Fjf)mentioning

confidence: 99%

“…Nonrelativistic QCD (NRQCD) is an effective field theory [1][2][3] for quarkonium that reproduces full QCD as an expansion in the relative velocity, v, of the heavy quark and antiquark. This theory has been used to study both the decay and production of these bound states [4].…”

Section: Introductionmentioning

confidence: 99%

Probing quarkonium production mechanisms with jet substructure

Baumgart

Leibovich

Mehen

et al. 2014

J. High Energ. Phys.

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We use fragmenting jet functions (FJFs) in the context of quarkonia to study the production channels predicted by NRQCD (We choose a set of FJFs that give the probability to find a quarkonium with a given momentum fraction inside a cone-algorithm jet with fixed cone size and energy. This observable gives several lever arms that allow one to distinguish different production channels. In particular, we show that at fixed momentum fraction the individual production mechanisms have distinct behaviors as a function of the the jet energy. As a consequence of this fact, we arrive at the robust prediction that if the depolarizing 1 S (8) 0 matrix element dominates, then the gluon FJF will diminish with increasing energy for fixed momentum fraction, z, and z > 0.5.

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“…Integrating out the hard modes matches QCD onto non-relativistic QCD (NRQCD) [25]. By subsequent integrating out the soft modes and potential gluons one obtains the effective theory of potential NRQCD (pNRQCD) [26][27][28][29], which contains potential heavy quarks and ultrasoft gluons as dynamical fields relevant for the description of the heavy-quark threshold dynamics. In this theory the propagation of a color-singlet quark-antiquark pair is described by the Green function G s (r, r ′ ; E).…”

Section: Effective Theory Approach To Nonrelativistic Sum Rulesmentioning

confidence: 99%