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-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy

Anzai, C.; Moreno, Daniel; Pineda, A. Morelos

doi:10.1103/physrevd.98.114034

Cited by 8 publications

(6 citation statements)

References 74 publications

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“…As we have seen, ultrasoft gluons start contributing, and therefore correcting the potential picture, for the spectrum, at order m h v 4 or m h v 5 , in dependence of Λ QCD . The potentials are Wilson coefficients of an EFT, they are regularized, undergo renormalization and satisfy renormalization group equations that allow to resum potentially large logarithms in their expressions [656,657,[665][666][667][668][669][670][671]. The proper renormalization of the potentials, highly non-trivial, as it has to account for correlated renormalization scales originating in NRQCD and pNRQCD, guarantees, however, that the final physical results are finite and scheme independent at any order in the expansion parameters of the EFT.…”

Section: • Weakly-coupled Pnrqcdmentioning

confidence: 99%

The $XYZ$ states: experimental and theoretical status and perspectives

Brambilla,

Eidelman,

Hanhart

et al. 2019

Preprint

139

194

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The quark model was formulated in 1964 to classify mesons as bound states made of a quark-antiquark pair, and baryons as bound states made of three quarks. For a long time all known mesons and baryons could be classified within this scheme. Quantum Chromodynamics (QCD), however, in principle also allows the existence of more complex structures, generically called exotic hadrons or simply exotics. These include four-quark hadrons (tetraquarks and hadronic molecules), five-quark hadrons (pentaquarks) and states with active gluonic degrees of freedom (hybrids), and even states of pure glue (glueballs). Exotic hadrons have been systematically searched for in numerous experiments for many years. Remarkably, in the past fifteen years, many new hadrons that do not exhibit the expected properties of ordinary (not exotic) hadrons have been discovered in the quarkonium spectrum. These hadrons are collectively known as XYZ states. Some of them, like the charged states, are undoubtedly exotic. Parallel to the experimental progress, the last decades have also witnessed an enormous theoretical effort to reach a theoretical understanding of the XYZ states. Theoretical approaches include not only phenomenological extensions of the quark model to exotics, but also modern non-relativistic effective field theories and lattice QCD calculations. The present work aims at reviewing the rapid progress in the field of exotic XYZ hadrons over the past few years both in experiments and theory. It concludes with a summary on future prospects and challenges.

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Section: • Weakly-coupled Pnrqcdmentioning

confidence: 99%

The $XYZ$ states: experimental and theoretical status and perspectives

Brambilla,

Eidelman,

Hanhart

et al. 2019

Preprint

139

194

View full text Add to dashboard Cite

show abstract

“…A further next step is the computation of two-loop corrections to the matching coefficient of the operator with two heavy and two light quarks usually denoted by c hl 1 (see, e.g., Ref. [15]).…”

Section: Discussionmentioning

confidence: 99%

“…We consider QCD with n h = 1 heavy quarks and n l light quarks, and compute the four quark scattering amplitudes (see Eqs. (15) and (16) below), the vertex corrections (see Eq. (31)), and the corrections to the matching coefficients in the gluon sector (see Eq.…”

Section: Nrqcdmentioning

confidence: 99%

“…The potential NRQCD (pNRQCD) Lagrange density relevant for S-wave states with next-to-next-tonext-to-leading logarithmic (N 3 LL) accuracy has been constructed in Ref. [15] up to a few missing contributions to the so-called soft running. Among them are the coefficients d ss and d vs (see the next section for a precise definition) which are computed in this work.…”

Section: Introductionmentioning

confidence: 99%

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Matching coefficients in nonrelativistic QCD to two-loop accuracy

2019

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We consider the Lagrange density of non-relativistic Quantum Chromodynamics expanded up to order 1/m 2 , where m is the heavy quark mass, and compute several matching coefficients up to two-loop order. Our results are building blocks for nextto-next-to-next-to-leading logarithmic and next-to-next-to-next-to-next-to-leading order corrections to the threshold production of top quark pairs and the decay of heavy quarkonia. We describe the techniques used for the calculation and provide analytic results for a general covariant gauge.

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“…(4.23) in [57]). It could be obtained from the determination of O(1/M ) tree-level diagrams in NRQED and correspondingly matching them to potentials in pNRQED (see for instance [66]). The logarithmic dependent term in (3.14), proportional to r 2 p , comes from second order perturbation theory of the delta-potential and was originally computed in [67] (see [68] for the computation in the setup of the pNRQED).…”

Section: Regular Hydrogen Lamb Shiftmentioning

confidence: 99%

The proton radius (puzzle?) and its relatives

Peset,

Pineda,

Tomalak

2021

Preprint

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We review determinations of the electric proton charge radius from a diverse set of low-energy observables. We explore under which conditions it can be related to Wilson coefficients of appropriate effective field theories. This discussion is generalized to other low-energy constants. This provides us with a unified framework to deal with a set of low-energy constants of the proton associated with its electromagnetic interactions. Unambiguous definitions of these objects are given, as well as their relation with expectation values of QCD operators. We show that the proton radius obtained from spectroscopy and lepton-proton scattering (when both the lepton and proton move with nonrelativistic velocities) is related to the same object of the underlying field theory with O(α) precision. The model dependence of these analyses is discussed. The prospects of constructing effective field theories valid for the kinematic configuration of present, or near-future, lepton-proton scattering experiments are discussed.

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S -wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy

Cited by 8 publications

References 74 publications

The $XYZ$ states: experimental and theoretical status and perspectives

The $XYZ$ states: experimental and theoretical status and perspectives

Matching coefficients in nonrelativistic QCD to two-loop accuracy

The proton radius (puzzle?) and its relatives

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