Decays<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo stretchy="true">¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>**</mml:mo></mml:msup><mml:mi>π</mml:mi></mml:math>and the Isgur-Wise functions<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>τ</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="fal

Jugeau, F.; Yaouanc, A. Le; Oliver, L.; Raynal, J.

doi:10.1103/physrevd.72.094010

Cited by 40 publications

(40 citation statements)

References 54 publications

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“…On the other hand, some dynamical theoretical schemes do verify it, as discussed in detail in [13,14]. If, eventually, data do converge to a satisfaction of Uraltsev SR, one could consider as an expansion parameter around the BPS condition the dimensionless quantity arising from relation (45) [9] 2 ÿ 3 4 3 4 X n 1n 1=2 1 2 :…”

Section: Conclusion and Prospectsmentioning

confidence: 96%

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Explicit Form of the Isgur-Wise function in the BPS limit

et al. 2006

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Using previously formulated sum rules in the heavy quark limit of QCD, we demonstrate that if the slope 2 ÿ 0 1 of the Isgur-Wise (IW) function w attains its lower bound 3 4 , then all the derivatives ÿ1 L L 1 attain their lower bounds 2L1!! 2L, obtained by Le Yaouanc et al. This implies that the IW function is completely determined, given by the function w 2 w1 3=2 . Since the so-called BPS condition proposed by Uraltsev implies 2 3 4 , it implies also that the IW function is given by the preceding expression.

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Section: Conclusion and Prospectsmentioning

confidence: 96%

“…The experimental situation is very involved, as pointed out in detail in [13,14]. In these papers the different experimental data are discussed, some of which even violate Uraltsev SR, and the predictions for 10 1=2 w, 10 1=2 w in relativistic quark models, QCD sum rules, and lattice QCD are given.…”

Section: The Bps Limit Impliesmentioning

confidence: 98%

Explicit Form of the Isgur-Wise function in the BPS limit

et al. 2006

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“…This may be due to the fact that color-suppressed amplitudes contribute only to the B + decay and not to the B 0 decay (for a theoretical discussion, see Refs. [1232,1233] …”

Section: Argus [1266]mentioning

confidence: 99%

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

et al. 2017

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This paper reports world averages of measurements of b-hadron, c-hadron, and τ -lepton properties obtained by the Heavy Flavour Averaging Group using results available before April 2021. In rare cases, significant results obtained several months later are also used. For the averaging, common input parameters used in the various analyses are adjusted (rescaled) to common values, and known correlations are taken into account. The averages include branching fractions, lifetimes, neutral meson mixing parameters, CP violation parameters, parameters of semileptonic decays, and Cabibbo-Kobayashi-Maskawa matrix elements. Selected world averages -continued from previous page. ∆Γ d /Γ d 0.001 ± 0.010 |q d /p d | 1.0010 ± 0.0008 ∆m s 17.765 ± 0.006 ps −1 ∆Γ s +0.084 ± 0.005 ps −1 |q s /p s | 1.0003 ± 0.0014 φ ccs s −0.049 ± 0.019 rad Unitarity-Triangle angle parameters sin2β ≡ sin2φ 1 0.699 ± 0.017 β ≡ φ 1 (22.2 ± 0.7) • −ηS φK 0 S 0.74 +0.11 −0.13 −ηS η K 0 0.63 ± 0.06 −ηS K 0 S K 0 S K 0 S 0.83 ± 0.17 φ s (φφ) −0.073 ± 0.115 ± 0.027 rad S B 0 s →K + K − , C B 0 s →K + K − (0.14 ± 0.03, 0.17 ± 0.03) −ηS J/ψ π 0 0.86 ± 0.14 −ηS D + D − 0.84 ± 0.12 −ηS J/ψ ρ 0 0.66 +0.13 −0.12 +0.09 −0.03(0.343 ± 0.002)% τ parameters, lepton universality, and |V us | g τ /g µ 1.0009 ± 0.0014 g τ /g e 1.0027 ± 0.0014 g µ /g e 1.0019 ± 0.0014* )0 s B ( * )0 s ) = (87.0 ± 1.7)% [34] measured as described in Ref. [35]. The proportions of the various production channels for non-strange B mesons have also been measured [22]. 4.3 b-hadron production fractions at high energy At high energy, all species of weakly decaying b hadrons may be produced, either directly or in strong and electromagnetic decays of excited b hadrons. Before 2010, it was assumed that the fractions of different species in unbiased samples of high-p T b-hadron jets where independent of whether they originated from Z decays, pp collisions at the Tevatron, or pp collisions at the LHC. This hypothesis was plausible under the condition Q 2 Λ 2 QCD , namely, that the square of the momentum transfer to the produced b quarks is large compared with the square of the hadronization energy scale. This hypothesis is correct in the limit p T → ∞, in which the production mechanism of a b hadron is completely described by the fragmentation of the b quark. For finite p T , however, there are interference effects of the production mechanism of the b quark and its hadronization. While formally suppressed by inverse powers of p T , these effects may be sizable, especially when the fragmentation probabilities are small as, e.g., in the case of b baryons. In fact, the available data show that the fractions depend on the kinematics of the produced b hadron. Both CDF and LHCb reported a p T dependence of the fractions, with the fraction of Λ 0 b baryons observed at low p T being enhanced with respect to that seen at LEP at higher p T . In our previous publication [1], we presented two sets of averages, one including only measurements performed at LEP, and another including only measurements performed ...

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“…These decays are discussed in detail in Ref. 16. Let us then first consider this simplest case of Class I.…”

Section: Non-leptonic Decay Class I and Class Iiimentioning

confidence: 97%

Uraltsev's and other sum rules, theory and phenomenology of D^**'s

Yaouanc

Pène

2015

Int. J. Mod. Phys. A

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We first discuss Uraltsev's and other sum rules constraining the B → D * * (L = 1) weak transitions in the infinite mass limit, and compare them with dynamical approaches in the same limit. After recalling these well established facts, we discuss how to apply infinite mass limit to the physical situation. We provide predictions concerning semileptonic decays and non-leptonic ones, based on quark models. We then present in more detail the dynamical approaches: the relativistic quark modelà la Bakamjian-Thomas and lattice QCD. We summarise lattice QCD results in the infinite mass limit and compare them to the quark model predictions. We then present preliminary lattice QCD results with finite b and c quark masses. A systematic comparison between theory and experiment is performed. We show that some large discrepancies exist between different experiments. Altogether the predictions at infinite mass are in fair agreement with experiment for non-leptonic decays contrary to what happens for semileptonic decays. We conclude by considering the prospects to clarify both the experimental situation, the theoretical one and the comparison between both.

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DecaysB¯→D**πand the Isgur-Wise functionsτ1/2
F. Jugeau¹,
A. Le Yaouanc²,
L. Oliver³
et al.

Cited by 40 publications

References 54 publications

Explicit Form of the Isgur-Wise function in the BPS limit

Explicit Form of the Isgur-Wise function in the BPS limit

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

Uraltsev's and other sum rules, theory and phenomenology of D^**'s

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DecaysB¯→D**πand the Isgur-Wise functionsτ1/2F. Jugeau1, A. Le Yaouanc2, L. Oliver3 et al.

Cited by 40 publications

References 54 publications

Explicit Form of the Isgur-Wise function in the BPS limit

Explicit Form of the Isgur-Wise function in the BPS limit

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016

Uraltsev's and other sum rules, theory and phenomenology of D**'s

Contact Info

Product

Resources

About

DecaysB¯→D**πand the Isgur-Wise functionsτ1/2
F. Jugeau¹,
A. Le Yaouanc²,
L. Oliver³
et al.

Uraltsev's and other sum rules, theory and phenomenology of D^**'s