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We present a calculation of the B0 - anti-B0 mixing matrix element in the framework of QCD sum rules for three-point functions. We compute alpha_s corrections to a three-point function at the three-loop level in QCD perturbation theory,…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. G. Korner , A. I. Onishchenko , A. A. Petrov , A. A. Pivovarov

The matrix element of B^0 -\bar B^0 mixing is evaluated from QCD sum rules for three-point correlators with next-to-leading order accuracy in pQCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Pivovarov

We compute the perturbative corrections to the HQET sum rules for the matrix element of the \Delta B=2 operator that determines the mass shift of $B^0$, $\bar{B}^0$ states. Technically, we obtain analytically the non-factorizable…

High Energy Physics - Phenomenology · Physics 2016-09-21 Andrey G. Grozin , Rebecca Klein , Thomas Mannel , Alexei A. Pivovarov

Current status of the NNLO QCD corrections to B -> X_s gamma is reviewed. The calculations include three-loop matching conditions, four-loop anomalous dimensions as well as two- and three-loop on-shell amplitudes. Certain parts of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Misiak

We report on the calculation of next-to-next-to-leading order (NNLO) QCD corrections to the width difference $\Delta \Gamma_s$ in the neutral $B$-meson mixing process $B^0_s - \bar{B}^0_s$. These contributions represent an important step in…

High Energy Physics - Phenomenology · Physics 2021-10-26 Vladyslav Shtabovenko

In this work we address the issue of large perturbative uncertainties in the theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s - \bar{B}^0_s$ mixing process. To this aim we complete important steps towards the full…

High Energy Physics - Phenomenology · Physics 2021-10-26 Vladyslav Shtabovenko

We compute perturbative corrections to matching coefficients of QCD to HQET for the matrix element of the $\Delta B=2$ operator that determines the mass difference in $B^0-\bar{B}^0$ system of states. This involves the technical point of…

High Energy Physics - Phenomenology · Physics 2017-11-08 Andrey G. Grozin , Thomas Mannel , Alexei A. Pivovarov

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated…

High Energy Physics - Phenomenology · Physics 2020-08-26 J. Ablinger , J. Blümlein , P. Marquard , N. Rana , C. Schneider

We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

We compute perturbative matching coefficients to the Heavy Quark Effective Theory representation for the QCD effective local $\Delta B=2$ Hamiltonian that determines the mass difference in $B^0-\bar{B}^0$ system of states. We report on the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Andrey G. Grozin , Thomas Mannel , Alexei A. Pivovarov

A new method is suggested to calculate the $B\to \pi\pi$ hadronic matrix elements from QCD light-cone sum rules. To leading order in $\alpha_s$ and $1/m_b$, the sum rule reproduces a factorizable matrix element, in accordance with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander Khodjamirian

We present a calculation of the B0-B0--mixing including Next--to--Leading Order (NLO) QCD corrections within the Two Higgs Doublet Model (2HDM). The QCD corrections at NLO are contained in the factor denoted by eta_2 which modifies the…

High Energy Physics - Phenomenology · Physics 2010-11-23 J. Urban , F. Krauss , U. Jentschura , G. Soff

This is the first in a series of papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e+ e- collisions. The present paper provides a detailed outline of the strategy of computation in the…

High Energy Physics - Phenomenology · Physics 2024-09-11 M. Beneke , Y. Kiyo , K. Schuller

In the framework of analytic approach to QCD, which has been recently intensively developed, the dependence of nonperturbative contributions in a running coupling of strong interaction on initial perturbative approximation to 3-loop order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

We calculate, to 3 loops in perturbation theory, the bare $\beta$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$,…

High Energy Physics - Lattice · Physics 2009-11-07 A. Bode , H. Panagopoulos

By employing the perturbative QCD(pQCD) factorization approach, we calculated the partial next-to-leading order (NLO) contributions to $B_s \to P P$ decays ($P= \pi, K, \etap $), coming from the QCD vertex corrections, the quark-loops and…

High Energy Physics - Phenomenology · Physics 2008-12-15 Jing Liu , Rui Zhou , Zhen-Jun Xiao

Within the framework of nonrelativistic QCD (NRQCD) factorization, we compute the three-loop QCD corrections to the decay constant of $B_c$. We reconstruct the analytical expressions for the three-loop renormalization constant and the…

High Energy Physics - Phenomenology · Physics 2022-08-09 Feng Feng , Yu Jia , Zhewen Mo , Jichen Pan , Wen-Long Sang , Jia-Yue Zhang

Within the framework of non-relativistic QCD (NRQCD) factorization, we compute the matching coefficients between full Quantum Chromodynamics (QCD) and NRQCD for the heavy flavor-changing vector, axial-vector, scalar and pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2023-06-14 Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

We present analytic results for three-loop fermionic corrections to the heavy-light form factors in perturbative quantum chromodynamics. Specifically, we present all light quark contributions and contributions from two heavy quark loops. We…

High Energy Physics - Phenomenology · Physics 2024-07-23 Sudeepan Datta , Narayan Rana

We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using…

High Energy Physics - Phenomenology · Physics 2024-10-11 Chen Cheng , Li-Hong Huang , Xiang Li , Zheng-Yang Li , Yan-Qing Ma
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