Quark-Hadron Duality

By M. Shifman. 2000

206 citations recorded by the source corpus.

I review the notion of the quark-hadron duality from the modern perspective. Both, the theoretical foundation and practical applications are discussed. The proper theoretical framework in which the problem can be formulated and treated is Wilson's operator product expansion (OPE). Two models developed for the description of duality violations are considered in some detail: one is instanton-based, another resonance-based. The mechanisms they represent are complementary. Although both models are rather primitive (their largest virtue is their simplicity) they hopefully capture important features of the phenomenon. Being open for improvements, they can be used "as is" for orientation in the studies of duality violations in the processes of practical interest.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/810da71c690e626779829fb7453352609143e7bd

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In Nuclear and High Energy Physics

1. T. Hurth
2. S. Descotes-Genon
3. M. Neubert
4. Martin Beneke
5. R. Zwicky
6. M. Bauer
7. Simone Bifani
8. A. Vidal

Citations in the corpus

• Resonances gone topsy turvy - the charm of QCD or new physics in b→sℓ+ℓ−? (2014, background): “[14, 15] which follow from first principles.”
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory (2008, background): “As a matter of principle, the OPE of the correlation functions in the complex s plane, even when integrated over a suitable energy interval [25], could be inflicted with so-called “duality violations” [60].”
• Review of lepton universality tests in B decays (2018, background): “The higher charmonium states contribute less significantly, and their contributions appear as wiggles that tend to cancel each other when integrated over large q(2) bins, so that they are expected to yield an average close to the perturbative QCD result [31].”
• Collider probes of axion-like particles (2017, background): “, for ma ΛQCD), its inclusive decay rate into hadrons can be calculated under the assumption of quark-hadron duality [62, 63].”
• Interpolating between low and high energy QCD via a 5D Yang-Mills model (2005, background): “the left-right correlator at low energies but exponentially going to zero at high ernergies. Interestingly, (7.14) adopts the form of a violation of the quark-hadron duality by a finite size instanton [13]. – 24 – To see how the two-point function ΠV contains already an infinite number of resonances, ”
• Precision Tau Physics (2013, methodology): “1 GeV the parametrization [276,277]”
• Present Status of Inclusive Rare B Decays (2002, methodology): “Non-perturbative effects, ∆, play a subdominant role and are under control thanks to the heavy mass expansion [30] and the assumption of quark–hadron duality [31].”