Nonleptonic Annihilation Decays of B Meson With a Natural Infrared Cutoff

Natale, A. A.; Zanetti, C. M.

doi:10.1142/s0217751x09044656

Cited by 10 publications

(12 citation statements)

References 69 publications

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“…(3) The infrared finite gluon propagator and running coupling constant [14], or/and Cutkosky rules [15] for the quark propagators, are used to serve as a natural cutoff , which has already been applied to B decays into two mesons [16][17][18]. However, it is claimed [18] that different predictions on branching ratios can be obtained with different solutions of the Schwinger-Dyson equations for gluon propagator and coupling constant due to different truncations and approximations.…”

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confidence: 99%

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Study of B s →η c (J/ψ)D decay with perturbative QCD approach

Sun¹,

Xiong²,

Yang³

et al. 2013

Eur. Phys. J. C

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The W -exchange process B s → η c (J/ψ)D is studied with the perturbative QCD approach.Three kinds of wave functions for B s meson and two forms of wave functions for charmonium are considered. It is estimated that branching ratios for B s → η c D, η c D, J/ψD, J/ψD decays are the order of 10 −7 , 10 −8 , 10 −8 , 10 −9 , respectively, where the largest uncertainty is from wave functions.There is a possibility for measuring these decay in the near future. In the naive spectator model, the general properties of the B s meson parallel those of the Using the operator product expansion and renormalization group equation, the low energy effective Hamiltonian for the B s → η c (J/ψ)D decay can be written as [8]:where G

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mentioning

confidence: 99%

“…However, it is claimed [18] that different predictions on branching ratios can be obtained with different solutions of the Schwinger-Dyson equations for gluon propagator and coupling constant due to different truncations and approximations.…”

mentioning

confidence: 99%

Study of B s →η c (J/ψ)D decay with perturbative QCD approach

Sun¹,

Xiong²,

Yang³

et al. 2013

Eur. Phys. J. C

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“…These values were obtained with m g = 500MeV. A complete list of the results and experimental data can be found in Ref [19]…”

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confidence: 99%

QCD phenomenology with infrared finite SDE solutions

Natale¹

2010

Proceedings of International Workshop on QCD Green’s Functions, Confinement and Phenomenology — PoS(QCD-TNT09)

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Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative information can be introduced into the QCD perturbative expansion in a consistent scheme, showing some examples of tree level hadronic reactions that successfully fit the experimental data with the gluon propagator and coupling constant depending on a dynamically generated gluon mass. This infrared mass scale acts as a natural cutoff and eliminates some of the ad hoc parameters usually found in perturbative QCD calculations. The application of these IR finite Green's functions in the case of higher order terms of the perturbative expansion is commented.

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“…It is interesting to note that recent theoretical and phenomenological studies are now accumulating supports for a softer infrared behavior of the gluon propagator [81,82,83,84,85,86,87,88,89,90,91], which is also indicated by recent lattice simulations [92,93]. Furthermore, the infrared finite dynamical gluon propagator, which is shown to be not divergent as fast as 1/q 2 , has been applied successfully to two-body hadronic B-meson decays [64,76,94,95,96,97,98]. To be specific, in our calculation we shall adopt the gluon propagator derived by Cornwall (in Minkowski space) [99,100] D(q 2 ) = 1…”

Section: Introductionmentioning

confidence: 86%

The EFFECTS OF a FAMILY NONUNIVERSAL Z′ BOSON ON B → Ππ DECAYS

Chang

Yang

2011

Int. J. Mod. Phys. A

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Motivated by the measured large branching ratio ofB 0 → π 0 π 0 (the so-called "ππ" puzzle), we investigate the effects of a family non-universal Z ′ model on the tree-dominated B → ππ decays. We find that the Z ′ coupling parameter ζ LR d ∼ 0.05 with a nontrivial new weak phase φ L d ∼ −50 • , which is relevant to the Z ′ contributions to the QCD penguin sector △C 5 , is needed to reconcile the observed discrepancy. Combined with the recent fitting results from B → πK, πK * and ρK decays, the Z ′ parameter spaces are severely reduced but still not excluded entirely, implying that both the "ππ" and "πK" puzzles could be accommodated simultaneously within such a family non-universal Z ′ model.

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Nonleptonic Annihilation Decays of B Meson With a Natural Infrared Cutoff

Cited by 10 publications

References 69 publications

Study of B s →η c (J/ψ)D decay with perturbative QCD approach

Study of B s →η c (J/ψ)D decay with perturbative QCD approach

QCD phenomenology with infrared finite SDE solutions

The EFFECTS OF a FAMILY NONUNIVERSAL Z′ BOSON ON B → Ππ DECAYS

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