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

2015 ◽  
Vol 30 (10) ◽  
pp. 1543009 ◽  
Author(s):  
Alain Le Yaouanc ◽  
Olivier Pène
Keyword(s):  
Lattice Qcd ◽  
Quark Model ◽  
Sum Rules ◽  
Experimental Situation ◽  
Semileptonic Decays ◽  
Physical Situation ◽  
Mass Limit ◽  
Quark Masses ◽  
Infinite Mass ◽  
Quark Models

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 model à 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.

scholarly journals SPECTROSCOPY OF PENTAQUARK BARYONS

2006 ◽  
Vol 21 (04) ◽  
pp. 807-812
Author(s):  
MAKOTO OKA
Keyword(s):  
Lattice Qcd ◽  
Quark Model ◽  
Model Prediction ◽  
Sum Rules ◽  
Direct Application ◽  
Qcd Sum Rules ◽  
Quark Models

A review is given to pentaquark mass predictions in quark models and QCD. It is pointed out that no successful quark model prediction is available for low-lying pentaquark states. Some new results of direct application of QCD, QCD sum rules and lattice QCD, are also presented.

Decay Widths of Excited Heavy Mesons from Quantum Chromodynamics Sum Rules in the Infinite Mass Limit

1998 ◽  
Vol 15 (8) ◽  
pp. 558-560
Author(s):  
Yuan-ben Dai ◽  
Chao-shang Huang ◽  
Ming-qiu Huang ◽  
Hong-ying Jin ◽  
Chun Liu
Keyword(s):  
Quantum Chromodynamics ◽  
Sum Rules ◽  
Mass Limit ◽  
Heavy Mesons ◽  
Infinite Mass ◽  
Decay Widths

scholarly journals Light-cone sum rules for proton decay

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ulrich Haisch ◽  
Amando Hala
Keyword(s):  
Lattice Qcd ◽  
Light Cone ◽  
Sum Rules ◽  
State Of The Art ◽  
Form Factors ◽  
Baryon Number ◽  
Proton Decay ◽  
Matrix Elements ◽  
Decay Channels ◽  
Systematic Uncertainties

Abstract We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

scholarly journals Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays

2021 ◽  
Vol 103 (11) ◽  
Author(s):  
Peng-Xiang Ma ◽  
Xu Feng ◽  
Mikhail Gorchtein ◽  
Lu-Chang Jin ◽  
Chien-Yeah Seng
Keyword(s):  
Lattice Qcd ◽  
Semileptonic Decays

scholarly journals DK I = 0, $$ D\overline{K} $$ I = 0, 1 scattering and the $$ {D}_{s0}^{\ast } $$(2317) from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gavin K. C. Cheung ◽  
◽  
Christopher E. Thomas ◽  
David J. Wilson ◽  
Graham Moir ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Energy Region ◽  
Light Quark ◽  
Bound State ◽  
Vector Resonance ◽  
Quark Masses ◽  
Partial Waves

Abstract Elastic scattering amplitudes for I = 0 DK and I = 0, 1 $$ D\overline{K} $$ D K ¯ are computed in S, P and D partial waves using lattice QCD with light-quark masses corresponding to mπ = 239 MeV and mπ = 391 MeV. The S-waves contain interesting features including a near-threshold JP = 0+ bound state in I = 0 DK, corresponding to the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0+ virtual bound state in I = 0 $$ D\overline{K} $$ D K ¯ . The S-wave I = 1 $$ D\overline{K} $$ D K ¯ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound D* vector resonance, but negligibly small P -wave DK interactions are observed in the energy region considered; the P and D-wave $$ D\overline{K} $$ D K ¯ amplitudes are also small. There is some evidence of 1+ and 2+ resonances in I = 0 DK at higher energies.

scholarly journals Heavy quark masses from sum rules in four-loop approximation

2007 ◽  
Vol 778 (1-2) ◽  
pp. 192-215 ◽  
Author(s):  
Johann H. Kühn ◽  
Matthias Steinhauser ◽  
Christian Sturm
Keyword(s):  
Heavy Quark ◽  
Sum Rules ◽  
Quark Masses ◽  
Loop Approximation

scholarly journals Semileptonic decays of heavy Λ baryons in a quark model

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
Muslema Pervin ◽  
Winston Roberts ◽  
Simon Capstick
Keyword(s):  
Quark Model ◽  
Semileptonic Decays

scholarly journals Up- and down-quark masses from finite-energy QCD sum rules to five loops

2009 ◽  
Vol 79 (1) ◽  
Author(s):  
C. A. Dominguez ◽  
N. F. Nasrallah ◽  
R. H. Röntsch ◽  
K. Schilcher
Keyword(s):  
Sum Rules ◽  
Finite Energy ◽  
Qcd Sum Rules ◽  
Quark Masses ◽  
Down Quark
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