Form factors $ f_{ + }^{{B \to \pi }}(0) $ and $ f_{ + }^{{D \to \pi }}(0) $ in QCD and determination of |V ub | and |V cd |

Li, Zuo-Hong; Zhu, Nan; Fan, Xiao-Jiao; Huang, Tao

doi:10.1007/jhep05(2012)160

Cited by 21 publications

(20 citation statements)

References 20 publications

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“…Our present value for B is different from that of Ref. [35], which is due to the fact that we have adopted a different MS b-quark mass. Figure 2 shows the value of f B!…”

Section: Determination Of Da From B=d ! Transition Form Factorscontrasting

confidence: 87%

“…The TFF f B! þ is the key factor of the process, which has been deeply investigated by using several approaches, such as the pQCD approach [28,29], the QCD LCSR approach [23][24][25]27,[30][31][32][33][34][35][36], and the lattice QCD approach [37,38]. Different approaches are applicable for different energy regions.…”

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

“…By using the chiral correlator, up to twist-4, the form factor f B! þ ð0Þ in the large-recoil region can be obtained as [35] …”

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

“…þ jV ub j by taking the input parameters the same as those in Ref. [35]. In this present section, we update the their analysis by using the input parameters from the Particle Data Group (PDG) [42], and simultaneously we make use of f D þ f D!…”

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

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Determination of the pion distribution amplitude

2013

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Right now, we have not enough knowledge to determine the hadron distribution amplitudes (DAs) which are universal physical quantities in the high energy processes involving hadron for applying pQCD to exclusive processes. Even for the simplest pion, one can't discriminate from different DA models. Inversely, one expects that processes involving pion can in principle provide strong constraints on the pion DA. For example, the pion-photon transition form factor (TFF) can get accurate information of the pion wave function or DA, due to the single pion in this process. However, the data from Belle and BABAR have a big difference on TFF in high $Q^2$ regions, at present, they are helpless for determining the pion DA. At the present paper, we think it is still possible to determine the pion DA as long as we perform a combined analysis of the most existing data of the processes involving pion such as $\pi \to \mu \bar{\nu}$, $\pi^0 \to \gamma \gamma$, $B\to \pi l \nu$, $D \to \pi l \nu$, and etc. Based on the revised light-cone harmonic oscillator model, a convenient DA model has been suggested, whose parameter $B$ which dominates its longitudinal behavior for $\phi_{\pi}(x,\mu^2)$ can be determined in a definite range by those processes. A light-cone sum rule analysis of the semi-leptonic processes $B \to \pi l \nu$ and $D \to \pi l \nu$ leads to a narrow region $B = [0.01,0.14]$, which indicate a slight deviation from the asymptotic DA. Then, one can predict the behavior of the pion-photon TFF in high $Q^2$ regions which can be tested in the future experiments. Following this way it provides the possibility that the pion DA will be determined by the global fit finally.Comment: 9 pages, 6 figure

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“…Our present value for B is different from that of Ref. [35], which is due to the fact that we have adopted a different MS b-quark mass. Figure 2 shows the value of f B!…”

Section: Determination Of Da From B=d ! Transition Form Factorscontrasting

confidence: 87%

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

“…By using the chiral correlator, up to twist-4, the form factor f B! þ ð0Þ in the large-recoil region can be obtained as [35] …”

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

Section: Determination Of Da From B=d ! Transition Form Factorsmentioning

confidence: 99%

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Determination of the pion distribution amplitude

2013

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“…In the complementary kinematic region, at large recoil, with an upper limit for q 2 varying between 6 and 16 GeV 2 , direct LCSR calculations of the semileptonic form factors are available, which have benefited by recent progress in pion distribution amplitudes, NLO and LO higher order twists (see e.g. [29,30,31] and Refs. within).…”

Section: The |V Ub | Determinationmentioning

confidence: 99%

Magnitudes of Vxb CKM matrix elements

Ricciardi¹

2013

Proceedings of 14th International Conference on B-Physics at Hadron Machines — PoS(Beauty 2013)

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CP violation in $ B_s^0\to {K^{-}}{\pi^{+}} $ , B 0 → K +π− decays and tests for SU(3) flavor symmetry predictions

Lin

2013

J. High Energ. Phys.

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The LHCb collaboration has recently measured the first direct CP violation in B 0 s decays with a rate asymmetry A CP (B 0 s → K − π + ) given by 0.27 ± 0.04(stat) ± 0.01(syst). At the same time they also made the most precise measurement forin the standard model with SU (3) flavor symmetry. We discuss possible modifications due to SU (3) breaking effects to this relation. There are several other similar relations in B decays. Using current available data we study whether relevant relations hold in B 0 and B 0 s to P P and P V decays. Here P and V indicate pesudoscalar and vector mesons in the flavor octet representations.

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Form factors $ f_{ + }^{{B \to \pi }}(0) $ and $ f_{ + }^{{D \to \pi }}(0) $ in QCD and determination of |V ub | and |V cd |

Cited by 21 publications

References 20 publications

Determination of the pion distribution amplitude

Determination of the pion distribution amplitude

Magnitudes of Vxb CKM matrix elements

CP violation in $ B_s^0\to {K^{-}}{\pi^{+}} $ , B 0 → K +π− decays and tests for SU(3) flavor symmetry predictions

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