Renormalons in electromagnetic annihilation decays of quarkonium

Braaten, Eric; Chen, Yuqi

doi:10.1103/physrevd.57.4236

Cited by 36 publications

(27 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 This may seem surprising, since the BLM method is designed to recover the effects associated with the one-loop running of α s , to the extent that the can be taken into account through a change of renormalization scale. The effects of a change of scale in α s can be expanded in a perturbation series.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…(2.7)], with a ratio between terms of −iΠ(x). However, in order 3 If one regards the BLM procedure as an approximate resummation of bubble contributions at one-loop accuracy in the bubble, then it would be appropriate to evolve α s from the nominal scale 2m c to the BLM scale by using the one-loop β function. This leads to R NLO (µ BLM ) = 6.3 × 10 3 , which is smaller than the value, obtained by 3-loop evolution, in Eq.…”

Section: Summary and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Resummation of QCD corrections to theηcdecay rate

Bodwin

Chen

2001

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We examine the ratio of the decay rate of the η c into light hadrons to the decay rate into photons and find that most of the large next-to-leading-order (NLO) correction is associated with running of the strong coupling α s . We resum such contributions by analyzing final-state chains of vacuum-polarization bubbles. We show that the nonperturbative parts of the bubble chains can be absorbed into a color-octet matrix element, once one has used contour deformations of the phase-space integrals to cancel certain contributions. We argue that these contributions are incompatible with the uncertainty principle. We also argue that perturbation theory is reliable only if one carries out the phase-space integrations before the perturbation summation. Our results are in good agreement with experiment and differ considerably from those 1 that one obtains by applying the scale-setting method of Brodsky, Lepage, and Mackenzie to the NLO result.

show abstract

Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

Resummation of QCD corrections to theηcdecay rate

Bodwin

Chen

2001

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…[47] for an early discussion on one type of ambiguity affiliated with the normalization of particle states in relativistic correction calculations. See also [48] for a related discussion. 7 For example, Ref.…”

Section: Nrqcd Factorization and Long-distance Matrix Elementsmentioning

confidence: 99%

Color-singlet relativistic correction to inclusiveJ/ψproduction associated with light hadrons atBfactories

Jia

2010

Phys. Rev. D

View full text Add to dashboard Cite

We study the first-order relativistic correction to the associated production of J/ψ with light hadrons at B factory experiments at √ s = 10.58 GeV, in the context of NRQCD factorization.We employ a strategy for NRQCD expansion that slightly deviates from the orthodox doctrine, in that the matching coefficients are not truly of "short-distance" nature, but explicitly depend upon physical kinematic variables rather than partonic ones. Our matching method, with validity guaranteed by the Gremm-Kapustin relation, is particularly suited for the inclusive quarkonium production and decay processes with involved kinematics, exemplified by the process e + e − → J/ψ + gg considered in this work. Despite some intrinsic ambiguity affiliated with the orderv 2 NRQCD matrix element, if we choose its value as what has been extracted from a recent Cornell-potential-model-based analysis, including the relative order-v 2 effect is found to increase the lowest-order prediction for the integrated J/ψ cross section by about 30%, and exert a modest impact on J/ψ energy, angular and polarization distributions except near the very upper end of the J/ψ energy. The order-v 2 contribution to the energy spectrum becomes logarithmically divergent at the maximum of J/ψ energy. A consistent analysis may require that these large end-point logarithms be resummed to all orders in α s .

show abstract

“…The so-called renormalon contribution, consisting of the one-loop diagram with arbitrary many massless quark loop insertions in the gluon propagator, has been computed in Ref. [37]. Supersymmetric one-loop corrections to c v have been computed in Ref.…”

Section: Matching Coefficient To Order α 3 Smentioning

confidence: 99%