Leading and next-to-leading QCD corrections to ɛ-parameter and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mo>B</mml:mo><mml:mn>0</mml:mn></mml:msup><mml:mo>−</mml:mo><mml:msup><mml:mover accent="true"><mml:mo>B</mml:mo><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup></mml:mrow></mml:math> mixing in the presence of a heavy top quark

Buras, Andrzej J.; Jamin, Matthias; Weisz, Peter

doi:10.1016/0550-3213(90)90373-l

Cited by 637 publications

(724 citation statements)

References 19 publications

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“…(2.4) at the same order as the coefficient functions. This procedure is well known from deep inelastic scattering [22,24] and weak decays [25]. In this way, taking into account mixing of the operators under renormalization, all dependences on the infrared structure of the theory are absorbed into the matrix elements.…”

Section: The Coefficient Functionsmentioning

confidence: 99%

Current correlators to all orders in the quark masses

Jamin

Münz

1993

Z. Phys. C - Particles and Fields

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103

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The contributions to the coefficient functions of the quark and the mixed quarkgluon condensate to mesonic correlators are calculated for the first time to all orders in the quark masses, and to lowest order in the strong coupling constant. Existing results on the coefficient functions of the unit operator and the gluon condensate are reviewed. The proper factorization of short-and long-distance contributions in the operator product expansion is discussed in detail. It is found that to accomplish this task rigorously the operator product expansion has to be performed in terms of non-normal-ordered condensates. The resulting coefficient functions are improved with the help of the renormalization group. The scale invariant combination of dimension 5 operators, including mixing with the mass operator, which is needed for the renormalization group improvement, is calculated in the leading order.

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Section: The Coefficient Functionsmentioning

confidence: 99%

Current correlators to all orders in the quark masses

Jamin

Münz

1993

Z. Phys. C - Particles and Fields

Self Cite

103

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“…The short distance QCD corrections are contained in the coefficients η i , which have been computed at the Next to Leading-logarithmic Order (NLO) in [20]. The NLO calculation requires the use of the one-loop relation between the pole mass and the running mass m pole…”

Section: Standard Model (Sm) Fitmentioning

confidence: 99%

Precision test of a Fermion mass texture

et al. 2001

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Texture zeros in the quark Yukawa matrices generally lead to precise and simple expressions for CKM matrix elements in terms of ratios of quark masses. Using the new data on b−decays we test a particularly promising texture zero solution and show that it is at best approximate. We analyse the approximate texture zero structure and show it is consistent with experiment. We investigate the implications for the CKM unitarity triangle, measurements at BaBar and BELLE as well as for the theories which invoke family symmetries.

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“…HereB K is a non-perturbative parameter analogous toB B d,s , η 2 is a short distance QCD correction [5], F tt is the function present also in (4) and P c (ε) = 0.31±0.05 [8] summarizes charm-charm and charm-top contributions.…”

Section: Introductionmentioning

confidence: 99%

“…Here F tt is a function of m t and M W resulting from box diagrams with top quark exchanges,B B is a non-perturbative parameter, F B is the B meson decay constant and η B the short distance QCD factor [5,6] common to (∆M) d and (∆M) s . Similarly, the experimental value for ε combined with the theoretical calculation of box diagrams describing K 0 −K 0 mixing gives the constraint for (¯ ,η) in the form of the following hyperbola [7]:η…”

Section: Introductionmentioning

confidence: 99%

Universal unitarity triangle and physics beyond the standard model

et al. 2001

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We make the simple observation that there exists a universal unitarity triangle for all models, like the SM, the Two Higgs Doublet Models I and II and the MSSM with minimal flavour violation, that do not have any new operators beyond those present in the SM and in which all flavour changing transitions are governed by the CKM matrix with no new phases beyond the CKM phase. This universal triangle can be determined in the near future from the ratio (∆M ) d /(∆M ) s and sin 2β measured first through the CP asymmetry in B 0 d → ψK S and later in K → πνν decays. Also suitable ratios of the branching ratios for B → X d,s νν and B d,s → µ + µ − and the angle γ measured by means of CP asymmetries in B decays can be used for this determination. Comparison of this universal triangle with the nonuniversal triangles extracted in each model using ε, (∆M ) d and various branching ratios for rare decays will allow to find out in a transparent manner which of these models, if any, is singled out by experiment. A virtue of the universal triangle is that it allows to separate the determination of the CKM parameters from the determination of new parameters present in the extensions of the SM considered here.

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Leading and next-to-leading QCD corrections to ɛ-parameter and B0−B¯0 mixing in the presence of a heavy top quark

Cited by 637 publications

References 19 publications

Current correlators to all orders in the quark masses

Current correlators to all orders in the quark masses

Precision test of a Fermion mass texture

Universal unitarity triangle and physics beyond the standard model

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