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A non-technical description of the Operator Product Expansion and Renormalization Group techniques as applied to weak decays of mesons is presented. We use this opportunity to summarize briefly the present status of the next-to-leading QCD…

高能物理 - 唯象学 · 物理学 2014-11-17 Andrzej J. Buras

The most general operator product expansion in conformal field theory is obtained using the embedding space formalism and a new uplift for general quasi-primary operators. The uplift introduced here, based on quasi-primary operators with…

高能物理 - 理论 · 物理学 2020-07-15 Jean-François Fortin , Witold Skiba

We argue that the renormalization factors for nonlocal quark-antiquark and gluon operators at space-like and time-like separations connected by a Wilson line coincide to all orders in perturbation theory. We calculate the anomalous…

高能物理 - 唯象学 · 物理学 2020-09-25 V. M. Braun , K. G. Chetyrkin , B. A. Kniehl

We accomplish the analytical computation of the pure weak annihilation non-leptonic $B$-meson decay amplitudes at leading power in the heavy quark expansion. The novel observation regarding such fundamental hadronic quantities is that…

高能物理 - 唯象学 · 物理学 2023-04-06 Cai-Dian Lü , Yue-Long Shen , Chao Wang , Yu-Ming Wang

We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes Q1 -> Q2 + (non QCD partons), where Q1 and Q2 are two different heavy quarks. We construct a new factorization scheme for threshold…

高能物理 - 唯象学 · 物理学 2023-05-29 U. G. Aglietti , G. Ferrera

We show the results in [1,2] for computing the QCD contributions to the scale evolution of average gluon and quark jet multiplicities. The new results came due a recent progress in timelike small-x resummation obtained in the MSbar…

高能物理 - 唯象学 · 物理学 2014-12-02 A. V. Kotikov

The renormalization scheme for the Wick expansion of a modified version of the perturbative QCD introduced in previous works is discussed. Massless QCD is considered, by implementing the usual multiplicative scaling of the gluon and quark…

高能物理 - 唯象学 · 物理学 2014-11-18 Alejandro Cabo Montes de Oca

Correlations between the momenta of the final state hadrons measured in proton or nucleus collisions contain information that sheds light on the initial conditions and evolutionary dynamics of the collision system. These correlation…

高能物理 - 唯象学 · 物理学 2017-10-10 Sener Ozonder

With the help of the Mellin-Barnes transform, we show how to simultaneously resum the expansion of a heavy-quark correlator around q^2=0 (low-energy), q^2= 4 m^2 (threshold, where m is the quark mass) and q^2=-\infty (high-energy) in a…

高能物理 - 唯象学 · 物理学 2011-01-17 D. Greynat , S. Peris

We present non-perturbative first-principle results for quark-, gluon- and meson $1$PI correlation functions of two-flavour Landau-gauge QCD in the vacuum. These correlation functions carry the full information about the theory. They are…

高能物理 - 唯象学 · 物理学 2018-03-14 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We work out the interplay between lowest-order perturbative computations in the 't Hooft coupling, $g^2=g^2_{YM} N$, operator mixing, renormalization-group (RG) improved ultraviolet (UV) asymptotics of leading-order (LO) nonplanar/planar…

高能物理 - 理论 · 物理学 2021-05-25 Ugo Aglietti , Matteo Becchetti , Marco Bochicchio , Mauro Papinutto , Francesco Scardino

We calculate the four-top quark operator contributions to Higgs production via gluon fusion in the Standard Model Effective Field Theory. The four-top operators enter for the first time via two-loop diagrams. Due to their chiral structure…

高能物理 - 唯象学 · 物理学 2024-03-26 Stefano Di Noi , Ramona Gröber , Gudrun Heinrich , Jannis Lang , Marco Vitti

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

高能物理 - 理论 · 物理学 2010-04-06 Jan M. Pawlowski

In this article, we recalculate the contributions of all vacuum condensates up to dimension-6, in particular the one-loop corrections to the quark condensates $\alpha_s<\bar{q}q>$ and partial one-loop corrections to the four-quark…

高能物理 - 唯象学 · 物理学 2013-11-05 Zhi-Gang Wang

The operator product expansion of current correlators at short distances, and the notion of QCD-hadron duality are the cornerstone of QCD sum rules. The extension of this programme to $T \neq 0$ is discussed, together with applications to…

高能物理 - 唯象学 · 物理学 2009-10-28 C. A. Dominguez

We investigate the quark condensate of the QCD vacuum within the instanton vacuum model. We calculate the meson-loop contributions to the dynamical quark mass and quark condensate to ${\cal O}(1/N_c)$-, ${\cal O}(m/N_c)$-, and ${\cal…

高能物理 - 唯象学 · 物理学 2009-11-11 Hyun-Chul Kim , M. M. Musakhanov , M. Siddikov

A momentum dependent quark mass may be incorporated into a quark model in a manner consistent with dynamically broken chiral symmetry. We use this to study the high $Q^2$ behavior of the vector, axialvector, scalar and pseudoscalar…

高能物理 - 唯象学 · 物理学 2009-10-28 B. Holdom , Randy Lewis

We present a scaling investigation of renormalized correlation functions in $\Or(a)$--improved quenched lattice QCD. As one observable the renormalized PCAC quark mass is considered, others are constructed such that they become the vector…

高能物理 - 格点 · 物理学 2009-10-31 Jochen Heitger

Various light-quark channel current-current correlators are subjected to the concept of a non-perturbative component of coarse graining in operator product expansions introduced in a parallel work. This procedure allows for low-energy…

高能物理 - 唯象学 · 物理学 2009-11-07 Ralf Hofmann

Our renormalization group consistent variant of optimized perturbation, RGOPT, is used to calculate the nonperturbative QCD spectral density of the Dirac operator and the related chiral quark condensate $\langle \bar q q \rangle$, for…

高能物理 - 唯象学 · 物理学 2015-12-11 J. -L. Kneur , A. Neveu