The 1/N F expansion of the ? and ? functions in Q.E.D.

Palanques-Mestre, A.; Pascual, P.

doi:10.1007/bf01212398

Cited by 149 publications

(269 citation statements)

References 9 publications

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“…A renormalization procedure for the large-N f limit has been derived by Palanques-Mestre and Pascual [18] and by Broadhurst [19], and applied to the renormalization of the Borel transform by Beneke and Braun [8]. We can simplify their discussion since the renormalization of the light quark bubble diagram has already been carried out in (52).…”

Section: B Pole Mass and Renormalization Constantmentioning

confidence: 99%

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Renormalons in electromagnetic annihilation decays of quarkonium

Braaten

Chen

1998

Phys. Rev. D

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We study the large-order asymptotic behavior of the perturbation series for short-distance coefficients in the NRQCD factorization formulas for the decays J/ψ → e + e − and η c → γγ. The short-distance coefficients of the leading matrix elements are calculated to all orders in the large-N f limit. We find that there is a universal Borel resummable renormalon associated with the cancellation of the Coulomb singularity in the short-distance coefficients. We verify that the ambiguities in the short-distance coefficients from the first infrared renormalon are canceled by ambiguities in the nonperturbative NRQCD matrix elements that contribute through relative order v 2 . Our results are used to estimate the coefficients of higher order radiative corrections in the decay rates for J/ψ → e + e − , η c → γγ, and J/ψ → γγγ.

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Section: B Pole Mass and Renormalization Constantmentioning

confidence: 99%

“…The factorization formula (33) can be greatly simplified by using the identity analogous to (18) for the η c :…”

Section: B Leptonic Decay Of J/ψmentioning

confidence: 99%

Renormalons in electromagnetic annihilation decays of quarkonium

Braaten

Chen

1998

Phys. Rev. D

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“…The correlator of light-quark vector currents has been investigated, at the first order in 1/β 0 , in the papers [3,4] (see also [5], where the result is presented as a double series, not as a single series [4]). The result can also be rewritten as an integral representation with a transparent physical meaning [6].…”

Section: Introductionmentioning

confidence: 99%

Correlator of heavy-quark currents at small q 2 in the large- $\beta_0$ limit

Grozin

Sturm

2005

Eur. Phys. J. C

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Abstract. The correlator of vector heavy-quark currents at small q 2 is considered in the large-β0 limit. The leading IR renormalon ambiguity of the sum of the perturbative series is canceled by the UV renormalon ambiguity of the gluon condensate. Asymptotic behaviour of the perturbative series is obtained in a modelindependent way, up to a single unknown normalization factor. Gluon-virtuality distribution functions for the perturbative correction are calculated.

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“…(3.10) differs essentially from its counterpart in the QED [7] because of the contribution from the fermion self-energy and the vertex, which exactly cancel in QED because of the Ward identity.…”

Section: Jhep08(2018)081mentioning

confidence: 99%

“…The groundwork for these considerations was laid few decades ago with the computation of the leading large-N f behaviour of the gauge β-functions [6][7][8] for N f fermion charged under the gauge group; see also refs. [9,10].…”

Section: Introductionmentioning

confidence: 99%