Chiral sum rules and vacuum condensates from tau-lepton decay data

In this article, we construct the color singlet-singlet-singlet interpolating current with IJP=3/21- to study the DD¯⁎K system through QCD sum rules approach. In calculations, we consider the contributions of the vacuum condensates up to dimension-16 and employ the formula μ=MX/Y/Z2-2Mc2 to choose the optimal energy scale of the QCD spectral density. The numerical result MZ=4.71-0.11+0.19 GeV indicates that there exists a resonance state Z lying above the DD¯⁎K threshold to saturate the QCD sum rules. This resonance state Z may be found by focusing on the channel J/ψπK of the decay B→J/ψππK in the future.

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Analysis of the D̄Σc, D̄Σc∗, D̄∗Σc and D̄∗Σc∗ pentaquark molecular states with QCD sum rules

International Journal of Modern Physics A ◽

10.1142/s0217751x19500970 ◽

2019 ◽

Vol 34 (19) ◽

pp. 1950097 ◽

Cited By ~ 10

Author(s):

Zhi-Gang Wang

Keyword(s):

Operator Product Expansion ◽

Sum Rules ◽

Molecular State ◽

Operator Product ◽

Qcd Sum Rules ◽

Dimension Formula ◽

Vacuum Condensates

In this paper, we study the [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] pentaquark molecular states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension [Formula: see text] in a consistent way. The present calculations support assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text], assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text], assigning the [Formula: see text] to be the [Formula: see text] pentaquark molecular state with [Formula: see text] or the [Formula: see text] pentaquark molecular state with [Formula: see text]. Special attention is paid to the operator product expansion.

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Radiative pion decay: Determination of FA(0) from τ-lepton decay data

Physics Letters B ◽

10.1016/0370-2693(88)91217-8 ◽

1988 ◽

Vol 208 (1) ◽

pp. 131-134 ◽

Cited By ~ 22

Author(s):

C.A. Dominguez ◽

J. Solà

Keyword(s):

Pion Decay ◽

Decay Data ◽

Lepton Decay

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STATUS OF THE HADRONIC τ DETERMINATION OF Vus

International Journal of Modern Physics A ◽

10.1142/s0217751x08041803 ◽

2008 ◽

Vol 23 (21) ◽

pp. 3191-3195 ◽

Cited By ~ 16

Author(s):

K. MALTMAN ◽

C. E. WOLFE ◽

S. BANERJEE ◽

M. RONEY ◽

I. NUGENT

Keyword(s):

Sum Rules ◽

Branching Fractions ◽

Sum Rule ◽

Slow Convergence ◽

Decay Data ◽

Decay Modes ◽

Good Agreement

We update the extraction of Vus from hadronic τ decay data in light of recent BaBar and Belle results on the branching fractions of a number of important strange decay modes. A range of sum rule analyses is employed, particular attention being paid to those based on “non-spectral weights”, developed previously to bring the slow convergence of the relevant integrated D = 2 OPE series under improved control. Results from the various sum rules are in good agreement with one another, but ~ 3σ below expectations based on 3-family unitarity.

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The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories

International Journal of Modern Physics A ◽

10.1142/s0217751x18501154 ◽

2018 ◽

Vol 33 (18n19) ◽

pp. 1850115 ◽

Cited By ~ 2

Author(s):

S. S. Afonin ◽

T. D. Solomko

Keyword(s):

Ground State ◽

Sum Rules ◽

Ground States ◽

Phenomenological Method ◽

Scalar Mesons ◽

Regge Trajectories ◽

Spectral Sum Rules ◽

The Given ◽

Vacuum Condensates

We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-[Formula: see text] extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval [Formula: see text] GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

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