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We use QCD sum rules to determine the twist-two non-singlet operator matrix elements and fixed x structure functions paying particular regard to the estimate of the errors. Particularly for the matrix element determination, we find large…

高能物理 - 唯象学 · 物理学 2009-10-28 G. G. Ross , N. Chamoun

A model operator approach to calculations of the QED corrections to energy levels in relativistic many-electron atomic systems is developed. The model Lamb shift operator is represented by a sum of local and nonlocal potentials which are…

原子物理 · 物理学 2013-07-26 V. M. Shabaev , I. I. Tupitsyn , V. A. Yerokhin

The leading order coefficients of the beta-function of QCD are computed in a large N_f expansion. They are in agreement with the three loop MSbar calculation. The method involves computing the anomalous dimension of the operator (G^2_{mu…

高能物理 - 唯象学 · 物理学 2009-10-28 J. A. Gracey

The flavor-changing electromagnetic dipole operator O_7 gives the dominant contribution to the B -> Xs gamma decay rate. We calculate two-loop QCD corrections to its matrix element together with the corresponding bremsstrahlung…

高能物理 - 唯象学 · 物理学 2013-07-02 I. Blokland , A. Czarnecki , M. Misiak , M. Slusarczyk , F. Tkachov

Low-energy effective field theories (EFT) encode information about the physics at high energies--i.e., the high-energy theory (HET). To extract this information the EFT and the HET have to be matched to each other. At the one-loop level,…

高能物理 - 唯象学 · 物理学 2022-03-22 Henning Bahl , Ivan Sobolev

The approximate representation of operators by finite matrices is analysed in terms of accuracy and convergence. The identity operator, for example, can be reconstructed using a basis of harmonic oscillator states leading to a narrow peak…

数学物理 · 物理学 2025-12-02 B. G. Giraud , S. Karataglidis , K. Murulane , R. Peschanski

Two-loop anomalous dimensions and one-loop renormalization scheme matching factors are calculated for six-quark operators responsible for neutron-antineutron transitions. When combined with lattice QCD determinations of the matrix elements…

高能物理 - 唯象学 · 物理学 2018-10-03 Michael I. Buchoff , Michael Wagman

One of the most troublesome contributions to the NNLO QCD corrections to B -> X_s gamma originates from three-loop matrix elements of four-quark operators. A part of this contribution that is proportional to the QCD beta-function…

高能物理 - 唯象学 · 物理学 2008-11-26 Mikolaj Misiak , Matthias Steinhauser

We present our results of lattice calculations of $B$ parameters, which parameterize $\Delta B$=2 transition amplitudes together with the leptonic decay constant. Calculations are made in the quenched approximation at $\beta$=5.7, 5.9, 6.0…

We present new results for the matrix elements of the Q_6 and Q_4 penguin operators, evaluated in a large-Nc approach which incorporates important O(N_c^2\frac{n_f}{N_c}) unfactorized contributions. Our approach shows analytic matching…

高能物理 - 唯象学 · 物理学 2010-02-03 T. Hambye , S. Peris , E. de Rafael

Exclusive rare decays mediated by $b\to s\ell\ell$ transitions receive contributions from four-quark operators that cannot be naively expressed in terms of local form factors. Instead, one needs to calculate a matrix element of a bilocal…

高能物理 - 唯象学 · 物理学 2020-04-07 Hrachia M. Asatrian , Christoph Greub , Javier Virto

We compute several matrix elements of dimension-six four-fermion operators and extract their B-parameters. The calculations have been performed with the tree-level Clover action at $\beta = 6.0$. The renormalization constants and mixing…

高能物理 - 格点 · 物理学 2016-09-01 L. Conti , A. Donini , V. Gimenez , G. Martinelli , M. Talevi , A. Vladikas

The effective low-energy hyper-K"ahler potential for a massive N=2 matter in the N=2 super-QCD is investigated. The N=2 extended supersymmetry severely restricts that N=2 matter self-couplings so that their exact form can be fixed by a few…

高能物理 - 理论 · 物理学 2009-10-30 Sergei V. Ketov

We present a QCD analysis of the effective weak Hamiltonian at hadronic energy scales for strangeness-nonchanging ($\Delta S=0$) hadronic processes. Performing a leading-order renormalization group analysis in QCD from the $W$ to the ${\cal…

高能物理 - 唯象学 · 物理学 2022-08-31 Susan Gardner , Girish Muralidhara

In this paper we present a calculation of the $\Delta S=1$ effective weak Hamiltonian including next-to-leading order QCD and QED corrections. At a scale $\mu$ of the order of few GeV, the Wilson coefficients of the operators are given in…

高能物理 - 唯象学 · 物理学 2009-10-22 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

We use lattice QCD to calculate the B-mixing hadronic matrix elements for a basis of effective four-quark operators that spans the space of all possible contributions in, and beyond, the Standard Model. We present results for the…

高能物理 - 唯象学 · 物理学 2015-06-11 C. M. Bouchard

The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the four-loop on-shell heavy-quark field renormalization constant…

高能物理 - 唯象学 · 物理学 2020-09-16 Andrey G. Grozin , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

The one-loop corrections to K->pi and K->2pi matrix elements of the electroweak penguin operator are calculated. General next-to-leading order relations between the K->pi and K->2pi amplitudes are obtained. The fractional shift Delta_2 =…

高能物理 - 唯象学 · 物理学 2009-10-31 Vincenzo Cirigliano , Eugene Golowich

The present status of the theoretical estimates of the difference between the widths of the neutral Bs-mesons and of the B-meson lifetime ratios is reviewed. In particular, the lattice results for the matrix elements of the relevant (delta…

高能物理 - 唯象学 · 物理学 2007-05-23 Damir Becirevic

We present a high statistics, quenched lattice calculation of the B-parameters $B_{B_d}$ and $B_{B_s}$, computed at lowest order in the HQET. The results were obtained using a sample of 600 quenched gauge field configurations, generated by…

高能物理 - 格点 · 物理学 2016-09-01 V. Gimenez , G. Martinelli