Erratum: Order-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>v</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>corrections to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-wave quarkonium decay [Phys. Rev. D<b>66</b>, 094011 (2002)]

Bodwin, Geoffrey T.; Petrelli, Andrea

doi:10.1103/physrevd.87.039902

Cited by 81 publications

(110 citation statements)

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“…In Refs. [5,6], more complete NRQCD factorization formulae are presented through the relative order v 4 . Since the explosion of the number of poorlyconstrained operator matrix elements severely hampers the predictive power of NRQCD, in this Letter we will be contented with the accuracy of the velocity expansion as prescribed in (1).…”

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confidence: 99%

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Next-to-Next-to-Leading-Order QCD Corrections to the Hadronic Width of Pseudoscalar Quarkonium

2017

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We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay process, for the first time, is verified to relative order α 2 s . As a byproduct, the renormalization group equation (RGE) of the leading NRQCD 4-fermion operator O1( 1 S0) is also deduced to this perturbative order. By incorporating this new piece of correction together with available relativistic corrections, we find that there exists severe tension between the state-of-the-art NRQCD predictions and the measured ηc hadronic width, and in particular the branching fraction of ηc → γγ. NRQCD appears to be capable of accounting for η b hadronic decay to a satisfactory degree, and our most refined prediction is Br(η b → γγ) = (4.8 ± 0.7) × 10 −5 . Heavy quarkonium decay has historically played a preeminent role in establishing asymptotic freedom of QCD [1,2]. Due to the nonrelativistic nature of heavy quark inside a quarkonium, the decay rates are traditionally expressed as the squared bound-state wave function at the origin multiplying the short-distance quarkantiquark annihilation decay rates. With the advent of the modern effective-field-theory approach, the nonrelativistic QCD (NRQCD), this factorization picture has been put on a firmer ground, and one is allowed to systematically include the QCD radiative and relativistic corrections when tackling various quarkonium decay and production processes [3].

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confidence: 99%

“…Since the explosion of the number of poorlyconstrained operator matrix elements severely hampers the predictive power of NRQCD, in this Letter we will be contented with the accuracy of the velocity expansion as prescribed in (1). Some crude power-counting argument estimates that those neglected terms in (1) may yield a contribution as large as 25% [5].…”

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confidence: 99%

Next-to-Next-to-Leading-Order QCD Corrections to the Hadronic Width of Pseudoscalar Quarkonium

2017

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“…In the modern NRQCD matching calculations it is customary to apply the covariant projector technique [11]. The usage of projectors allows to avoid many complications related to the non-relativistic expansion of the QCD amplitudes.…”

Section: Electromagnetic χ C J Production In Nrqcdmentioning

confidence: 99%

Relativistic corrections to electromagnetic heavy quarkonium production

Shtabovenko

2017

EPJ Web Conf.

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Abstract. We report on the calculation [1] of the relativistic O(α 0 s v 2 ) corrections to the quarkonium production process e + e − → χ c J + γ in non-relativistic QCD (NRQCD). In our work we incorporate effects from operators that contribute through the sub-leading Fock state |QQg , that were not taken into account by previous studies. We determine the corresponding matching coefficients that should be included into theoretical predictions for the electromagnetic production cross-section of χ c J . This process could be, in principle, measured by the Belle II experiment.

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“…All the projection operators for quarkonium in this work may be found in Ref. [20,21]. For the spin-triplet color-singlet state, the matrix product is expressed as:…”

Section: Introductionmentioning

confidence: 99%

NLO corrections toχbJto two-J/ψexclusive decay processes

Chen

Qiao

2014

Phys. Rev. D

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The next-to-leading order QCD corrections for χ bJ , the p-wave bottomonium, to J/ψ pair decay processes are evaluated utilizing NRQCD factorization formalism. The scale dependence of χ b2 → J/ψJ/ψ process is depressed with NLO corrections, and hence the uncertainties in the leading order results are greatly reduced. The total branch ratios are found to be the order of 10 −5 for all three χ bJ → J/ψJ/ψ processes, indicating that they are observable in the LHC and super-B experiments.

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Erratum: Order-v4corrections toS-wave quarkonium decay [Phys. Rev. D66, 094011 (2002)]

Cited by 81 publications

References 4 publications

Next-to-Next-to-Leading-Order QCD Corrections to the Hadronic Width of Pseudoscalar Quarkonium

Next-to-Next-to-Leading-Order QCD Corrections to the Hadronic Width of Pseudoscalar Quarkonium

Relativistic corrections to electromagnetic heavy quarkonium production

NLO corrections toχbJto two-J/ψexclusive decay processes

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