Next - to - leading order renormalization of the ∆ B = 2 operators in the static theory
نویسندگان
چکیده
The renormalization, at the next-to-leading order in α s , of the ∆B = 2 operators at the lowest order in the heavy quark expansion, namely in the static theory, is computed taking into account previously missed contributions. These operators are relevant for the calculation of the B 0 – ¯ B 0 mixing on the lattice.
منابع مشابه
A numerical renormalization group approach for calculating the spectrum of a vibronic system occurring in molecules or impurities in insulators
Theoretically, in order to describe the behavior of a spectrum, a mathematical model whichcould predict the spectrum characteristics is needed. Since in this study a Two-state system has beenused like models which was introduced previously past and could couple with the environment, theformer ideas have been extended in this study. we use the second quantized version for writing thisHamiltonian...
متن کاملOne-Loop Matching and Next-to-Next-to-Leading Log Resummation for all Partonic 2→2 Processes in QCD
The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The Wilson coefficients are separated by spin and color, although most applications will involve only the spin-averaged hard functions. The anomalous dimensions fo...
متن کاملEffective Hamiltonian for Non - Leptonic | ∆ F | = 1 Decays at NNLO in QCD
We compute the effective hamiltonian for non-leptonic |∆F | = 1 decays in the standard model including next-to-next-to-leading order QCD corrections. In particular, we present the complete three-loop anomalous dimension matrix describing the mixing of currentcurrent and QCD penguin operators. The calculation is performed in an operator basis which allows to consistently use fully anticommuting ...
متن کاملNon-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD LPHA
We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of ∆B = 2 parity-odd four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the static approximation with various lattice discretizations of the static action. Light quarks are described by nonperturbatively O(a) improved Wilson-type fermions. The re...
متن کاملTwo-Loop Renormalization of Heavy–Light Currents At Order 1/mQ in the Heavy-Quark Expansion
We present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/mQ in the heavy-quark expansion of heavy–light current operators. To this end, we complete the calculation of the corresponding two-loop anomalous dimension matrix. Our results are important for determinations of |Vub| using exclusive and inc...
متن کامل