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Precise theoretical predictions are a key ingredient for an accurate determination of the structure of the Langrangian of particle physics, including its free parameters, which summarizes our understanding of the fundamental interactions…

高能物理 - 唯象学 · 物理学 2021-09-01 Silvia Ferrario Ravasio

We analyze the large-order behaviour in perturbation theory of classes of diagrams with an arbitrary number of chains (i.e. photon lines, dressed by vacuum polarization insertions). We derive explicit formulae for the leading and subleading…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Beneke , V. A. Smirnov

We review a relativistic approach to the heavy quark physics in lattice QCD by applying a relativistic $O(a)$ improvement to the massive Wilson quark action on the lattice. After explaining how power corrections of $m_Q a$ can be avoided…

高能物理 - 格点 · 物理学 2007-05-23 S. Aoki , Y. Kayaba , Y. Kuramashi , N. Yamada

We present analytical results to guide numerical simulations with Wilson fermions in higher representations of the colour group. The ratio of $\Lambda$ parameters, the additive renormalization of the fermion mass, and the renormalization of…

高能物理 - 格点 · 物理学 2008-11-26 Luigi Del Debbio , Mads T. Frandsen , Haralambos Panagopoulos , Francesco Sannino

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

高能物理 - 唯象学 · 物理学 2009-10-22 Adam F. Falk , Matthias Neubert

Our objective is to compute the moments of the deep-inelastic structure functions of the nucleon on the lattice. A major source of uncertainty is the renormalization of the lattice operators that enter the calculation. In this talk we…

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

Heavy-light decays such as $B \to \pi \ell \nu$, $B \to K^{*} \gamma$ and $B \to K^{(*)} \ell \ell$ can be used to constrain the parameters of the Standard Model and in indirect searches for new physics. While the precision of experimental…

高能物理 - 格点 · 物理学 2015-03-17 E. H. Müller , A. Hart , R. R. Horgan

The lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon are calculated on the lattice. The calculation is done with Wilson fermions and for three values of the hopping parameter $\kappa$, so that…

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

We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of…

高能物理 - 唯象学 · 物理学 2016-08-25 Geoffrey T. Bodwin , Yu-Qi Chen

Unrenormalizable theories contain infinitely many free parameters. Considering these theories in terms of the Wilsonian renormalization group (RG), we suggest a method for removing this large ambiguity. Our basic assumption is the existence…

高能物理 - 理论 · 物理学 2014-11-18 Jisuke Kubo , Masanori Nunami

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors $\tau_{1/2}(1)$ and…

高能物理 - 格点 · 物理学 2009-11-11 B. Blossier , A. Le Yaouanc , V. Morenas , O Pene

Several Wilson loops on several lattice sizes are computed in Perturbation Theory via a stochastic method. Applications include: Renormalons, the Mass Term in Heavy Quark Effective Theory and (possibly) the beta-function.

高能物理 - 格点 · 物理学 2015-06-25 G. Burgio , F. Di Renzo , L. Scorzato , M. Pepe

The slope of the Isgur-Wise function at the normalization point, $\xi^{(1)}(1)$,is one of the basic parameters for the extraction of the $CKM$ matrix element $V_{cb}$ from exclusive semileptonic decay data. A method for measuring this…

高能物理 - 格点 · 物理学 2009-10-28 U. Aglietti , V. Gimenez

Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator…

高能物理 - 格点 · 物理学 2008-09-05 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

I give a short review of the relation of infrared renormalons in QCD and higher twist effects, with the emphasis on possible applications. In particular, I present estimates of renormalon-induced uncertainties in deep inelastic sum rules…

高能物理 - 唯象学 · 物理学 2007-05-23 V. M. Braun

After a brief introduction to the problem of subtraction of infrared divergences for high-order collider observables, we present a preliminary study of strongly-ordered soft and collinear multiple radiation from the point of view of…

高能物理 - 唯象学 · 物理学 2022-09-14 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

Following a Four Dimensional Renormalization approach to ultraviolet divergences (FDR), we extend the concept of predictivity to non-renormalizable quantum field theories at arbitrarily large perturbative orders. The idea of topological…

高能物理 - 唯象学 · 物理学 2015-01-20 Roberto Pittau

I formulate a deformation of the dimensional-regularization technique that is useful for theories where the common dimensional regularization does not apply. The Dirac algebra is not dimensionally continued, to avoid inconsistencies with…

高能物理 - 理论 · 物理学 2009-11-10 Damiano Anselmi

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 propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion. In this method, the renormalization $Z$-factors are determined by the ultraviolet…

高能物理 - 理论 · 物理学 2025-05-08 Rijun Huang , Qingjun Jin , Yi Li