Lattice QCD and the unitarity triangle

Kronfeld, A. S.

doi:10.1063/1.1478865

Cited by 6 publications

(6 citation statements)

References 17 publications

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“…The need to include chiral logarithms in extracting physical results has been persuasively presented by Ryan and Kronfeld [8][9][10]. However, the analysis that we present below indicates that the lattice has not yet reached the region where the chiral formulas apply and that the current extrapolation is being driven by "nonsense" physics that comes from the chiral loops at short distance, which chiral perturbation theory is not able to describe.…”

Section: Introductionmentioning

confidence: 89%

Long distance chiral corrections in B meson amplitudes

2004

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We discuss the chiral corrections to f_B and B_B with particular emphasis on determining the portion of the correction that arises from long distance physics. For very small pion and kaon masses all of the usual corrections are truly long distance, while for larger masses the long distance portion decreases. These chiral corrections have been used to extrapolate lattice calculations towards the physical region of lighter masses. We show in particular that the chiral extrapolation is better behaved if only the long distance portion of the correction is used.Comment: 14 pages, 4 figure

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Section: Introductionmentioning

confidence: 89%

Long distance chiral corrections in B meson amplitudes

2004

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“…These are nothing else but the removal of the ultraviolet and infrared cutoffs which is the part of the renormalization procedure. 22,23 It seems to us that our analytical method resolves this SU (3) lattice thermodynamics artefact.…”

Section: Trace Anomaly Relationmentioning

confidence: 99%

The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap

Gogokhia

Shurgaia²,

Vasúth

2016

Int. J. Mod. Phys. A

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The trace anomaly or, equivalently, the interaction measure is the important thermodynamic quantity/observable, since it is very sensitive to the nonperturbative effects in the gluon plasma. It has been calculated and its analytic and asymptotic properties have been investigated with the combined force of analytic and lattice approaches to SU (3) Yang-Mills (YM) quantum gauge theory at finite temperature. The first one is based on the effective potential approach for composite operators properly generalized to finite temperature. This makes it possible to introduce into this formalism a dependence on the mass gap ∆ 2 , which is responsible for the large-scale dynamical structure of the QCD ground state. The gluon plasma pressure as a function of the mass gap adjusted by this approach to the corresponding lattice data is shown to be a continuously growing function of temperature T in the whole temperature range [0, ∞) with correct Stefan-Boltzmann limit at very hight temperature. The corresponding trace anomaly has finite jump discontinuity at some characteristic temperature Tc = 266.5 M eV with latent heat ϵ LH = 1.41. This is a firm evidence of the first-order phase transition in SU (3) pure gluon plasma. It is exponentially suppressed below Tc and has a complicated and rather different dependence on the mass gap and temperature across Tc. In the very high temperature limit its non-perturbative part has a power-type fall off.

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“…When dealing with hadrons containing heavy quarks, it is often useful to use LQCD in conjunction with one of the previously described effective field theories. This allows for better control of the systematic uncertainties inherent to calculations in LQCD [30].…”

Section: Nonrelativistic Qcdmentioning

confidence: 99%

Measurement of the B±c Meson Lifetime Using B±c→ J/Ψ + l± + X Decays

Hartz

2008

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Lattice QCD and the unitarity triangle

Cited by 6 publications

References 17 publications

Long distance chiral corrections in B meson amplitudes

Long distance chiral corrections in B meson amplitudes

The temperature-dependent Yang-Mills trace anomaly as a function of the mass gap

Measurement of the B<sup>±</sup><sub>c</sub> Meson Lifetime Using B<sup>±</sup><sub>c</sub>→ J/Ψ + l<sup>±</sup> + X Decays

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