Quenched chiral perturbation theory for heavy-light mesons

Booth, Michael J.

doi:10.1103/physrevd.51.2338

Cited by 57 publications

(61 citation statements)

References 27 publications

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“…Errors coming from the extrapolation to the chiral limit are also quite small. Moreover, for this quantity, the error coming from the quenched approximation was estimated to be negligible [34]. Thus the most important source of systematic error in our results is the determination of the renormalization constants, which are known so far only in one-loop lattice perturbation theory.…”

Section: Discussionmentioning

confidence: 95%

mixing in the HQET

Gimenez

Martinelli

1997

Physics Letters B

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We present a high statistics, quenched lattice calculation of the B-parameters B B d and B Bs , computed at lowest order in the HQET. The results were obtained using a sample of 600 quenched gauge field configurations, generated by Monte Carlo simulation at β = 6.0 on a 24 3 × 40 lattice. For the light quarks the SW-Clover action was used; the propagator of the lattice HQET was also tree-level improved. Our best estimate of the renormalization scale independent B-parameter isB B d = 1.03 ± 0.06±0.18. B B d has been obtained by using "boosted" perturbation theory to calculate the renormalization constants which relate the matrix elements of the lattice operators to the corresponding amplitudes in the continuum. Due to the large statistics, the errors in the extraction of the matrix elements of the relevant bare operators are rather small. The main systematic error, corresponding to ±0.18 in the above result, comes from the uncertainty in the evaluation of the renormalization constants, for which the one-loop corrections are rather large. The non-perturbative evaluation of these constants will help to reduce the final error. We also obtainB Bs /B B d = 1.01 ± 0.01 and f 2 BsB Bs /f 2 B dB B d = 1.38 ± 0.07.

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Section: Discussionmentioning

confidence: 95%

mixing in the HQET

Gimenez

Martinelli

1997

Physics Letters B

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“…Next, using chiral perturbation theory for heavy-light mesons [9,10], we extrapolate M hl to κ l = κ c . We do not include chiral logarithms in our fits since the light quark masses used in the extrapolations are relatively heavy, κ l ≈ κ s .…”

Section: Simulations and Resultsmentioning

confidence: 99%

SU(3) flavor breaking in hadronic matrix elements for oscillations

Bérnard

Blum

Soni

1997

Nuclear Physics B - Proceedings Supplements

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We present an analysis, using quenched configurations at 6/g 2 =5.7, 5.85, 6.0, and 6.3 of the matrix element M hl ≡ P hl |hγµ(1 − γ5)lhγµ(1 − γ5)l|P hl for heavy-light pseudoscalar mesons. The results are extrapolated to the physical B meson states, B 0 and B 0 s . We directly compute the ratio M bs /M bd , and obtain the preliminary result M bs /M bd = 1.54(13)(32). A precise value of this SU(3) breaking ratio is important for determining V td once the mixing parameter xs for B 0 s −B 0 s is measured experimentally. We also determine values for the corresponding B parameters, B bs (2GeV) = B bd (2GeV) = 1.02(13), which we cannot distinguish in the present analysis.

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“…These constants result from higher order terms in the expression for the current L µ and in the heavy-light meson Lagrangian. Their structure is discussed by Booth [9]. The quenched result for f Qq (q = u, d) is obtained from Eq.…”

Section: Calculation Of Chiral Logarithmsmentioning

confidence: 99%

“…After our calculations were completed, a closely related paper by Booth appeared [9]. He calculates the chiral logarithmic corrections to f B and B B in QQCD, as well as the corrections to B masses and the Isgur-Wise function.…”

Section: Introductionmentioning

confidence: 99%