A QCD sum rule calculation of the mixing parameter B

Reinders, L. J.; Yazaki, S.

doi:10.1016/0550-3213(87)90238-0

Cited by 38 publications

(28 citation statements)

References 12 publications

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“…Hence the LO relations (124)(125)(126)(127)(128)(129)(130)(131)(132)(133) are fulfilled with the Isgur-Wise (IW) function…”

Section: The Lo Analysismentioning

confidence: 99%

“…First, let us concentrate on the NLO relations (124)(125)(126)(127)(128)(129). It is convenient to analyze the linear combinations of the form factors which do not contain the LO contribution.…”

Section: And Gmentioning

confidence: 99%

“…The theoretical analysis of B −B mixing was first performed within the QCD sum rules [125][126][127] and later using lattice QCD, see [128,129] and refs therein. The results from the sum rules are in all cases well compatible with factorization (vacuum saturation), within rather large errors.…”

Section: Nonfactorizable Effects In Thementioning

confidence: 99%

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Dispersion approach to quark-binding effects in weak decays of heavy mesons

Melikhov

2002

EPJ direct

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The dispersion approach based on the constituent quark picture and its applications to weak decays of heavy mesons are reviewed. Meson interaction amplitudes are represented within this approach as relativistic spectral integrals over the mass variables in terms of the meson wave functions and spectral densities of the corresponding Feynman diagrams. Various applications of this approach are discussed:Relativistic spectral representations for meson elastic and transition form factors at spacelike momentum transfers are constructed. Form factors at q 2 > 0 are obtained by the analytical continuation. As a result of this procedure, form factors are given in the full q 2 range of the weak decay in terms of the wave functions of the participating mesons.The 1/mQ expansion of the obtained spectral representations for the form factors for the particular limits of the heavy-to-heavy and heavy-to-light transitions are analysed. Their full consistency with the constraints provided by QCD for these limits is demonstrated.Predictions for form factors for B (s) and D (s) decays to light mesons are given.The B → γ ν decay and the weak annihilation in rare radiative decays are considered. Nonfactorizable corrections to the B 0 −B 0 mixing are calculated.Inclusive weak B decays are analysed and the differential distributions are obtained in terms of the B meson wave function.

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“…Hence the LO relations (124)(125)(126)(127)(128)(129)(130)(131)(132)(133) are fulfilled with the Isgur-Wise (IW) function…”

Section: The Lo Analysismentioning

confidence: 99%

Section: And Gmentioning

confidence: 99%

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Dispersion approach to quark-binding effects in weak decays of heavy mesons

Melikhov

2002

EPJ direct

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“…Setting B(µ) = 1 corresponds to the naive factorization prescription for the matrix element (1.3) which would be true for the bare operator Q at tree level but is spoiled by the strong interactions for the "dressed" operator Q(µ). The hadronic parameter B(µ) can only be obtained by using some non-perturbative method, such as lattice simulations (see, e. g., [8,9,10,11,12,13]) or QCD sum rules [14,15,16,17,18]. While the naive factorization estimate B(m B ) = 1 is rather satisfactory even quantitatively, it is a kind of a model assumption, and a key issue in the precision phenomenological analysis of the processes of mixing is the determination of the deviation of B(µ) from unity.…”

Section: Introductionmentioning

confidence: 99%

B0−B¯0mixing at next-to-leading order

et al. 2016

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We compute the perturbative corrections to the HQET sum rules for the matrix element of the ∆B = 2 operator that determines the mass difference of B 0 ,B 0 states. Technically, we obtain analytically the non-factorizable contributions at order α s to the bag parameter that first appear at the three-loop level. Together with the known non-perturbative corrections due to vacuum condensates and 1/m b corrections, the full next-to-leading order result is now available. We present a numerical value for the renormalization group invariant bag parameter that is phenomenologically relevant and compare it with recent lattice determinations.

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“…The numbers on the solid lines indicate the extreme BK-values used; those on the dashed lines similarly indicate the range of fBB~(MeV). The "experimental" point shows the value of m~ as determined from W,, Z phenomenology within the standard model; it has been placed at 6 = ~/3 following the geometrical expectation suggested [30] that the higher value of 0.84-t-0.08 also deriving from QCD sum rules [32] be corrected to about 0.55. In leading order the 1/N expansion gives BK= 3/4 [33]; with corrections beyond leading order this becomes 0.70 + 0.10 [34].…”

Section: --0mentioning

confidence: 99%

Are CKM andW, Z phenomenology consistent withA=p=1 and ???/3?

Wilkinson

1992

Z. Physik A - Hadrons and Nuclei

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Abstract. The expectation of the geometrical catamorphic representation of the quark-lepton families is that the parameters of the CKM matrix, in the Wolfenstein substitution, have the values A=p= 1 and 5~_z~/3. No conflict is found with the geometrical expectation which, furthermore, requires 107 < m~ < 165 GeV/c 2, consistent with 14/,, Z phenomenology. PACS: 11.30.-j; 12.30.-s; 14.80.DqThe quark-lepton families resemble one another very closely and are intimately inter-related as is shown by the great range of electro-weak phenomenology. It is clear that they are transformed, the one into the other, by some systematic operation affecting some distinguishing characteristic. However, this systematic operation only works twice because the families are limited, as is shown by the cosmo-genesis of the light elements and by the width of the Z ~ to three in number: [u,d; e, re], [c, s; #, v~] and [t, b; z, vJ. There is evidently something intrinsic to the nature of the families that forbids the third application of the systematic transforming operation and so prevents the generation of a fourth family.So far as we now know, the weak linkages among the quarks are described by the familiar Cabibbo-Kobayashi-Maskawa matrix =/--St

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A QCD sum rule calculation of the mixing parameter B

Cited by 38 publications

References 12 publications

Dispersion approach to quark-binding effects in weak decays of heavy mesons

Dispersion approach to quark-binding effects in weak decays of heavy mesons

B0−B¯0mixing at next-to-leading order

Are CKM andW, Z phenomenology consistent withA=p=1 and ???/3?

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