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We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

We present analytical results for the $O(\alpha _s ^2)$ contributions to the functions $\eta _A$ and $\eta _V$ which parameterize QCD corrections to semileptonic $b \to c$ transitions at zero recoil. Previously obtained approximate results…

高能物理 - 唯象学 · 物理学 2011-01-25 Andrzej Czarnecki , Kirill Melnikov

Recently, a geometric approach to operator mixing in massless QCD-like theories -- that involves canonical forms based on the Poincare'-Dulac theorem for the linear system that defines the renormalized mixing matrix in the coordinate…

高能物理 - 理论 · 物理学 2022-10-19 Matteo Becchetti , Marco Bochicchio

We show that by combining the static heavy quark action with the Neuberger action for the light quark, the renormalisation of the heavy-light bilinear and four-quark operators, computed on the lattice, becomes highly simplified: all the…

高能物理 - 格点 · 物理学 2009-11-10 Damir Becirevic , Juan Reyes

We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We discuss also a general expressions for…

高能物理 - 唯象学 · 物理学 2014-12-17 V. N. Velizhanin

In this article we formulate the CLT associated to Gaussian operators of type B -- see \cite{BEH15}, where important role is played by colored pair partitions. Then we present a certain family of noncommutative random matrix models for the…

概率论 · 数学 2017-09-20 Wiktor Ejsmont

We analyse the constraints on dimension-six Delta F=1 effective operators in models respecting the MFV hypothesis, both in the one-Higgs doublet case and in the two-Higgs doublet scenario with large tan beta. The constraints are derived…

高能物理 - 唯象学 · 物理学 2008-12-18 Tobias Hurth , Gino Isidori , Jernej F. Kamenik , Federico Mescia

We directly fit the QCD dimensional transmutation parameter, Lambda MS-bar, to experimental data on e+e- jet observables, making use of next-to-leading order (NLO) perturbative calculations. In this procedure there is no need to mention,…

高能物理 - 唯象学 · 物理学 2009-10-31 S. J. Burby , C. J. Maxwell

The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\alpha^3$ corrects a previous result in the literature.…

高能物理 - 唯象学 · 物理学 2024-09-04 Kaushik Borah , Richard J. Hill , Ryan Plestid

Discrete circular convolution over $\mathbb{Z}/N\mathbb{Z}$ is a linear operator and can be implemented on quantum hardware within the linear-combination-of-unitaries (LCU) framework. In this work, we make this connection explicit through…

量子物理 · 物理学 2026-03-17 Chen Yang , Kodai Kanemaru , Norio Yoshida , Sergey Gusarov , Hiroshi C. Watanabe

We study the renormalization of the DeltaS=1 effective weak Hamiltonian with overlap fermions. The mixing coefficients among dimension-six operators are computed at one loop in perturbation theory. As a consequence of the chiral symmetry at…

高能物理 - 格点 · 物理学 2009-10-31 S. Capitani , L. Giusti

The $O(\alpha_s^2)$ massive operator matrix elements for unpolarized and polarized heavy flavor production at asymptotic values $Q^2 >> m^2$ are calculated in Mellin space without applying the integration-by-parts method. We confirm…

高能物理 - 唯象学 · 物理学 2007-06-20 I. Bierenbaum , J. Blümlein , S. Klein

We discuss the renormalisation properties of the complete set of $\Delta B = 2$ four-quark operators with the heavy quark treated in the static approximation. We elucidate the role of heavy quark symmetry and other symmetry transformations…

高能物理 - 格点 · 物理学 2009-11-11 F. Palombi , M. Papinutto , C. Pena , H. Wittig

I calculate, at one loop in staggered chiral perturbation theory, the matrix elements of the complete set of five local operators that may contribute to B mixing both in the Standard Model and in beyond-the-Standard-Model theories. Lattice…

高能物理 - 格点 · 物理学 2013-06-12 C. Bernard

The renormalization of composite operators is a fundamental aspect of quantum field theory, relevant for the description of phase transitions and high energy phenomenology. We calculate the anomalous dimensions of a large set of operators…

高能物理 - 理论 · 物理学 2026-01-06 Johan Henriksson , Stefanos R. Kousvos , Jasper Roosmale Nepveu

We will study rigorously the notion of mixed states and their density operators (or matrices.) We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This Review has been written having in…

量子物理 · 物理学 2019-04-17 Maurice A. de Gosson

Three-loop vertex diagrams in HQET needed for sum rules for B^0 - \bar{B}^0 mixing are considered. They depend on two residual energies. An algorithm of reduction of these diagrams to master integrals has been constructed. All master…

高能物理 - 唯象学 · 物理学 2014-11-18 Andrey G. Grozin , Roman N. Lee

We present analytic formulae for the QCD renormalization group factors relating the Wilson coefficients C_i(mu_t) and C_i(mu), with mu_t = O(m_t) and mu < mu_t, of the Delta F=2 dimension six four-quark operators Q_i in the Standard Model…

高能物理 - 唯象学 · 物理学 2009-11-07 Andrzej J. Buras , Sebastian Jager , Joerg Urban

QCD in non-integer $d=4-2\epsilon$ space-time dimensions enjoys conformal invariance at the special fine-tuned value of the coupling. Counterterms for composite operators in minimal subtraction schemes do not depend on $\epsilon$ by…

高能物理 - 唯象学 · 物理学 2019-03-27 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

We systematically compute the $\Lambda_b(p, s_b) \to \Lambda_c(2595)^+$ and $\Lambda_b(p, s_b) \to \Lambda_c(2625)^+$ form factors within the Heavy Quark Effective Theory (HQET) framework including $\mathcal{O}(1/m_c^2)$. Besides taking…

高能物理 - 唯象学 · 物理学 2024-04-05 Vigilante Di Risi , Davide Iacobacci , Francesco Sannino