Estimate of the hadronic matrix element of B0- mixing within QCD sum rules

Ovchinnikov, A.A.; Пивоваров, А. А.

doi:10.1016/0370-2693(88)90586-2

Cited by 28 publications

(26 citation statements)

References 9 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%

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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%

“…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%

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

Melikhov

2002

EPJ direct

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“…The theoretical analysis of B −B mixing was first performed within the QCD sum rules [2][3][4] and later using lattice QCD, see [5,6] and refs therein. The results from the sum rules are in all cases well compatible with factorization (vacuum saturation), within rather large errors.…”

Section: Introductionmentioning

confidence: 99%

“…Results from these approaches are shown in Table I. [2,3] 1.0 ± 0.15 SR [4] 0.95 ± 0.1 Lat [5] 0.92(4)…”

Section: Introductionmentioning

confidence: 99%

Non-factorizable effects in the B– mixing

Melikhov

Nikitin

2000

Physics Letters B

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We analyse the corrections to factorization for the B −B mixing amplitude assuming that non-factorizable soft gluon exchanges can be described by the local gluon condensate. Within this approximation the αsGG -correction to the mixing amplitude can be expressed through the Bmeson transition form factors at zero momentum transfer. The correction is negative independent of the particular values of the form factors.As a next step, we study these form factors making use of the relativistic dispersion approach based on the constituent quark picture. We obtain spectral representations for the form factors in terms of the B-meson soft wave function and the propagator of the color-octet bq system. The B-meson wave function has been determined previously from weak exclusive B decays, so the main uncertainty in our estimates comes from the unknown details of the propagator in the nonperturbative region. We obtain ∆BB d (m b ) = −0.06 ± 0.035 and ∆BB s (m b ) = −0.05 ± 0.03.

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“…The nonPT terms (power corrections) have been analyzed in [14] and then extended and updated in [17]. The FESR estimate from the latter is ∆B cond = − 3π GG [42] and mixed quark-gluon condensates qGq (e.g., see [43,44]).…”

Section: Sum Rules In Hqetmentioning

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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Estimate of the hadronic matrix element of B0- mixing within QCD sum rules

Cited by 28 publications

References 9 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

Non-factorizable effects in the B– mixing

B0−B¯0mixing at next-to-leading order

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