Non-factorizable effects in 
                
                  
                
                $B - \overline{B}$
               mixing

Hiorth, A.; Eeg, J. O.

doi:10.1140/epjcd/s2003-01-006-4

Cited by 18 publications

(47 citation statements)

References 25 publications

(72 reference statements)

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“…At µ = Λ χ , which by construction is the matching scale within our approach [3,5,6], one finds a 1 ≃ −0.35 − 0.07i and a 2 ≃ 1.29 + 0.08i. Note that the Wilson coefficients a i are complex below µ = m c [8].…”

Section: Framework Effective Lagrangian At Quark Levelmentioning

confidence: 61%

“…In our calculation we used the following input parameters: [5,6], g A = 0.6, f π = 93 MeV. We find [4] the following branching ratios…”

Section: Resultsmentioning

confidence: 99%

“…The covariant derivative D µ contains the soft gluon field forming the gluon condensates (besides some chiral interactions) [5,6,10]. The interaction between heavy meson fields and quarks is described by [5]:…”

Section: The Heavy Light Chiral Quark Modelmentioning

confidence: 99%

“…The gluon condensate contributions can be calculated within a recently developed Heavy Light Chiral Quark Model (HLχQM) [5]. This model has been applied to processes involving B-mesons in [6,7]. Both the chiral loop contributions and the gluon condensate contributions are proportional to the numerically favorable Wilson coefficient.…”

Section: Introductionmentioning

confidence: 99%

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Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

Eeg¹,

Fajfer²,

Brdnik³

2006

AIP Conference Proceedings

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Abstract.We point out that the amplitudes for the decaysIf one or two of the D-mesons in the final state are vectors (i.e D * 's) there are relatively small factorizable contributions through the annihilation mechanism. The dominant contributions to the decay amplitudes arise from chiral loop contributions and 1/N c suppressed tree level. We predict that the branching ratios for the processesBare of order (4 − 7) × 10 −3 . If both D-mesons in the final state are D * 's, we obtain branching ratios of order two times bigger.

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Section: Framework Effective Lagrangian At Quark Levelmentioning

confidence: 61%

“…In our calculation we used the following input parameters: [5,6], g A = 0.6, f π = 93 MeV. We find [4] the following branching ratios…”

Section: Resultsmentioning

confidence: 99%

Section: The Heavy Light Chiral Quark Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

Eeg¹,

Fajfer²,

Brdnik³

2006

AIP Conference Proceedings

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“…There are many approaches to evaluate this parameter (and the analogous parameter B K of K 0 −K 0 mixing) available in the literature [10,11,12,13,14,15,16,17].…”

Section: −Bmentioning

confidence: 99%

B0−B¯0Mixing beyond Factorization in QCD Sum Rules

et al. 2003

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We present a calculation of the B 0 −B 0 mixing matrix element in the framework of QCD sum rules for three-point functions. We compute αs corrections to a three-point function at the three-loop level in QCD perturbation theory, which allows one to extract the matrix element with next-to-leading order (NLO) accuracy. This calculation is imperative for a consistent evaluation of experimentallymeasured mixing parameters since the coefficient functions of the effective Hamiltonian for B 0 −B 0 mixing are known at NLO. We find that radiative corrections violate factorization at NLO; this violation is under full control and amounts to 10%.PACS numbers: 12.15. Lk, 13.35.Bv, 14.60.EfThe phenomenon of particle-antiparticle mixing, possible in systems of neutral mesons of different flavors, is the primary source of studies of CP violation (for review, see e.g. [1]). According to the Cabibbo-Kobayashi-Maskawa (CKM) picture, quarks of all three generations must be present in a transition for CP violation to occur. Historically, studies of K 0 −K 0 mixing provided first essential insights into the physics of heavy particles as well as tests of general concepts of quantum field theory. For a long time it was the only place where the effects of CP violation were clearly established (see e.g. [2]). Since weak couplings of s and d quarks to third generation quarks are small, experimental studies of CP violation in heavy mesons are considered more promising. While recent experimental results for heavy charmed mesons D(ūc) are encouraging, a full consistent theoretical description of this system is still lacking [3]. These considerations make the systems of B d (db) and B s (sb) mesons the most promising laboratory for a precision analysis of CP violation and mixing both experimentally and theoretically [4]. Hereafter we shall consider B d mesons. The generalization to B s mesons is straightforward.Phenomenologically the system of the B 0 −B 0 mesons is described by the effective mass operator (M − iΓ/2) ij , {i, j} = {1, 2} which in the presence of ∆B = 2 interactions acquires non-diagonal terms. The difference between the values of the mass eigenstates of B mesons ∆m = M heavy − M light ≈ 2 |M 12 | is an important observable which is precisely measured to be ∆m = 0.489 ± 0.005(stat) ± 0.007(syst) ps −1 [5]. With an adequate theoretical description, it can be used to extract top quark CKM parameters.In the standard model, the effective low-energy Hamiltonian describing ∆B = 2 transitions has been computed at next-to-leading order (NLO) in QCD perturbation theory (PT) [6]where η B = 0.55 ± 0.1 [7], J 5 = 1.627 in the naive dimensional regularization (NDR) scheme, S 0 (x t ) is the InamiLim function [8], andis a local four-quark operator at the normalization point µ.Note that the part of Eq. (1) in the second line is renormalization-group (RG) invariant. Mass splitting of heavy and light mass eigenstates can then be found to be2 . The largest uncertainty of about 30% in the theoretical calculation is introduced by the poorly known ...

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Non-factorizable contributions to Bd0¯→Ds()D
Eeg
¹
,
Fajfer
²
,
Hiorth
³

et al. 2005
Nuclear Physics B - Proceedings Supplements*
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9
0
13
1
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It is pointed out that decays of the type B → DD have no factorizable contributions, unless at least one of the charmed mesons in the final state is a vector meson. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes generated by soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processesB 0 → s are all of order (3 − 4) × 10 −4 , whileB 0 → D + * s D − * s has a branching ratio 5 to 10 times bigger. We emphasize that the branching ratios are sensitive to 1/mc corrections.

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Non-factorizable effects in $B - \overline{B}$ mixing

Cited by 18 publications

References 25 publications

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

B0−B¯0Mixing beyond Factorization in QCD Sum Rules

Non-factorizable contributions to Bd0¯→Ds()D
Eeg
¹
,
Fajfer
²
,
Hiorth
³

et al. 2005
Nuclear Physics B - Proceedings Supplements*
Self Cite
9
0
13
1
View full text Add to dashboard Cite

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Non-factorizable effects in $B - \overline{B}$ mixing

Cited by 18 publications

References 25 publications

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

B0−B¯0Mixing beyond Factorization in QCD Sum Rules

Non-factorizable contributions to Bd0¯→Ds(*)DEeg1, Fajfer2, Hiorth3 et al. 2005Nuclear Physics B - Proceedings SupplementsSelf Cite90131View full textAdd to dashboardCite

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Non-factorizable contributions to Bd0¯→Ds()D
Eeg
¹
,
Fajfer
²
,
Hiorth
³

et al. 2005
Nuclear Physics B - Proceedings Supplements*
Self Cite
9
0
13
1
View full text Add to dashboard Cite