QCD corrections to P wave quarkonium decays

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

doi:10.1016/0550-3213(81)90192-9

Cited by 116 publications

(83 citation statements)

References 5 publications

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“…where we have added the one-loop correction to the contribution at leading order of v [6]. If we take m c = 1.5GeV and α s (m c ) ≈ 0.3, we obtain by using experimental values of hadron masses:…”

Section: Numerical Impact Of the Correctionmentioning

confidence: 99%

“…On the theoretical side, because charm quark can be taken as heavy quark and it moves with a small velocity v inside a charmonium in its rest-frame, one may describe the c-orc quark inside charmonia with a nonrelativistic wave-functions by taking charmonia as a bound-state of a cc pair. In most previous calculations for decays of charmonium such a nonrelativistic wave-functions is employed for χ c0,2 → γγ [6,7,8,9,10]. By expanding the small velocity v, the decay width at the leading order of v can be expressed with the derivatives of the wave functions at origin, where the leading order is at v 2 .…”

Section: Introductionmentioning

confidence: 99%

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Corrections for two photon decays of χc0 and χc2 and color octet contributions

Ma¹,

Wang²

2002

Physics Letters B

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Using the fact that the c-quark inside a charmonium moves with a small velocity v in the charmonium rest-frame, one can employ an expansion in v to study decays of charmonia and results at the leading order for χc0,2 → γγ exist in the literature. We study corrections at the next-to-leading order in the framework of nonrelativistic QCD(NRQCD) factorization. The study presented here is different than previous approaches where χc0,2 is taken as a bound-state of a cc pair and a nonrelativistic wave-function is used for the pair. We find that the corrections are consist not only of relativistic corrections, but also of corrections from Fock state components of χc0,2 in which the cc pair is in a color-octet state. For χc2 there is also a contribution from a Fock state component in which the pair is in a F-wave state. We determine the factorization formula for decay widths in the form of NRQCD matrix elements representing nonperturbative effects related to χc0,2, and calculate the perturbative coefficients at tree-level. Because the NRQCD matrix elements are unknown, a detailed prediction for the decay χc0,2 → γγ can not be made, but the effect of these corrections can be determined at certain level. Estimations show that the effect is significant and can not be neglected.

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Section: Numerical Impact Of the Correctionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Corrections for two photon decays of χc0 and χc2 and color octet contributions

Ma¹,

Wang²

2002

Physics Letters B

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“…• Infrared sensitive logarithms ∼ ln(m/ǫ) appear in the calculation of P -wave decays, to be precise in the NLO corrections to 3 P 0,2 decays [20] and already in the leading-order expressions of 1 P 1 and 3 P 1 decays [19]. That is, without keeping the binding energy non-zero, the perturbative part of the calculation would diverge.…”

Section: Comparison With Previous Approaches and Conclusionmentioning

confidence: 99%

“…In the wave-function approach, the leading-order (in α s (m)) decay is into two gluons for the J = 0, 2 states, Γ( 3 P 0,2 → gg) = O(α 2 s ), while the J = 1 state can first decay at O(α 3 s ) into either three gluons or a quark-antiquark-pair plus a gluon. Moreover, it was found [19,20,21] that the quark-antiquark-gluon cuts are singular in the limit of zero binding energy ǫ…”

Section: Some Phenomenologymentioning

confidence: 99%

Heavy quarkonium effective theory

Mannel

Schüler

1995

Z. Phys. C - Particles and Fields

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“…For χ b (0 ++ ) we used the QCD lattice result [21] for the leading order Γ(χ → gg) width of 354 keV. To be more precise, we included the standard NLO correction (1 + 9.8α S /π) for χ b (0 ++ ), see, for example, [22]. We assume that the amplitude for χ production behaves as M ∝ e b(t 1 +t 2 )/2 (16) with slope b = 4 GeV −2 , where t i are the momentum transfer squared at the proton (antiproton) vertices.…”

Section: Double-diffractive χ Meson Productionmentioning

confidence: 99%

Double-diffractive processes in high-resolution missing-mass experiments at the Tevatron

2001

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We evaluate, in a model-independent way, the signal-to-background ratio for Higgs→ bb detection in exclusive double-diffractive events at the Tevatron and the LHC. For the missing-mass approach to be able to identify the Higgs boson, it will be necessary to use a central jet detector and to tag b quark jets. The signal is predicted to be very small at the Tevatron, but observable at the LHC. However we note that the background, that is double-diffractive dijet production, may serve as a unique gluon factory. We also give estimates for the double-diffractive production of χ c and χ b mesons at the Tevatron. We emphasize that a high-resolution missing-mass measurement, on its own, is insufficient to identify rare processes.

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QCD corrections to P wave quarkonium decays

Cited by 116 publications

References 5 publications

Corrections for two photon decays of χc0 and χc2 and color octet contributions

Corrections for two photon decays of χc0 and χc2 and color octet contributions

Heavy quarkonium effective theory

Double-diffractive processes in high-resolution missing-mass experiments at the Tevatron

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