Strong QCD corrections to p-wave quarkonium decays

Barbieri, Riccardo; Caffo, M.; Gatto, R.; Remiddi, E.

doi:10.1016/0370-2693(80)90407-4

Cited by 105 publications

(69 citation statements)

References 3 publications

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“…As we have already mentioned, in the calculations of Barbieri et al of the P-wave decay rates into light hadrons [7,8,21], a logarithmic dependence on an infrared cutoff appeared in the coefficients of |R The factorization formulas (4.7) for the annihilation decays of P-waves at leading order in v were first given in Ref. [10] in the form…”

Section: B P-wave Annihilationmentioning

confidence: 97%

“…The short-distance factor was calculated in terms of the running coupling constant α s (M) of QCD, evaluated at the scale of the heavy-quark mass M, while the long-distance factor was expressed in terms of the meson's nonrelativistic wavefunction, or its derivatives, evaluated at the origin. In the case of S-waves [5,6] and in the case of P-wave decays into photons [7], the factorization assumption was supported by explicit calculations at next-to-leading order in α s . However, no general argument was advanced for its validity in higher orders of perturbation theory.…”

Section: Introductionmentioning

confidence: 94%

“…By explicit calculation, Barbieri et al [7,8] found that the coefficients of |R ′ P (0)| 2 depend logarithmically on an infrared cutoff on the energies of the final-state gluons. In subsequent phenomenological applications of these calculations, the infrared cutoff has been identified with the binding energy of the quarkonium state, which is of order Mv 2 , the inverse of the radius of the bound state, which is of order Mv, or the inverse of the confinement radius, which is of order Λ QCD .…”

Section: B P-wave Annihilationmentioning

confidence: 99%

“…However, no general argument was advanced for its validity in higher orders of perturbation theory. In the case of P-wave decays into light hadrons, the factorization is spoiled by logarithmic infrared divergences that appear in the QQ annihilation rates at order α 3 s [7,8]. Logarithmic infrared divergences also appear in relativistic corrections to the annihilation decays of S-wave states [8].…”

Section: Introductionmentioning

confidence: 99%

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Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Bodwin¹,

Braaten²,

Lepage³

1997

Phys. Rev. D

1,732

2,983

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A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass M , from the longer-distance scales asso- * On leave from Dept. of Physics and Astronomy, Northwestern University, Evanston, IL 60208. 1 ciated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of 4-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant α s (M ). The matrix elements are organized into a hierarchy according to their scaling with v, the typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order M or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of S-wave states, up to corrections of relative order v 3 , and of P-wave states, up to corrections of relative order v 2 .

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Section: B P-wave Annihilationmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 94%

Section: B P-wave Annihilationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Bodwin¹,

Braaten²,

Lepage³

1997

Phys. Rev. D

1,732

2,983

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“…This is impressively consistent with the measurement (2a). Nevertheless, these processes are sensitive to the next-to-leading-order (NLO) radiative correction [17,18], with the predicted R scattered in the range from 0.09 to 0.36 [6,7].…”

mentioning

confidence: 99%

Next-to-next-to-leading-order QCD corrections to χc0,2→γγ

et al. 2016

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We calculate the next-to-next-to-leading-order (NNLO) perturbative corrections to P -wave quarkonia annihilation decay to two photons, in the framework of nonrelativistic QCD (NRQCD) factorization. The order-α 2 s short-distance coefficients associated with each helicity amplitude are presented in a semi-analytic form, including the "light-by-light" contributions. With substantial NNLO corrections, we find disquieting discrepancy when confronting our state-of-the-art predictions with the latest BESIII measurements, especially fail to account for the measured χc2 → γγ width. Incorporating the effects of spin-dependent forces would even exacerbate the situation, since it lifts the degeneracy between the nonperturbative NRQCD matrix elements of χc0 and χc2 toward the wrong direction. We also present the order-α 2 s predictions to χ b0,2 → γγ, which await the future experimental test. Charmonium decay has historically played an important role in establishing the asymptotic freedom of QCD, and served as a clean platform to probe the interplay between pertubative and nonperturbative dynamics [1,2]. Among them, the electromagnetic decay χ c0,2 → γγ provide a particularly interesting, and, rich testing ground of QCD [3,4]. In the past decades, these decay channels have been extensively studied from various theoretical angles, such as nonrelativistic potential model [5,6], relativistic quark model [7][8][9], Bethe-Salpeter approach [10], nonrelativistic QCD (NRQCD) factorization [11,12], as well as lattice QCD [13]. On the experimental side, they were previously measured by . BESIII experiment [15] has recently reported their high precision results, Γ γγ (χ c0 ) = (2.33 ± 0.20 ± 0.13 ± 0.17) keV, (1a) Γ γγ (χ c2 ) = (0.63 ± 0.04 ± 0.04 ± 0.04) keV. (1b)

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Theoretical Aspects in Perturbative QCD

Altarelli

1982

Fundamental Interactions

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Strong QCD corrections to p-wave quarkonium decays

Cited by 105 publications

References 3 publications

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D51, 1125 (1995)]

Next-to-next-to-leading-order QCD corrections to χc0,2→γγ

Theoretical Aspects in Perturbative QCD

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