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Quantum field theories require a cutoff to regulate divergences that result from local interactions, and yet physical results can not depend on the value of this cutoff. The renormalization group employs a transformation that changes the…

高能物理 - 唯象学 · 物理学 2007-05-23 Sergio Szpigel , Robert J. Perry

Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and…

高能物理 - 唯象学 · 物理学 2010-04-05 Adrian Signer , Dominik Stöckinger

We study the effects of matching of the high-energy resummation based on the BFKL equation with initial state radiation effects, taken into account within the framework of high-energy factorization, in the production of Mueller-Navelet…

高能物理 - 唯象学 · 物理学 2025-10-10 A. A. Chernyshev , M. A. Nefedov , V. A. Saleev

We argue that the use of the universal unintegrated gluon distribution and the $k_T$ (or high energy) factorization theorem provides the natural framework for describing observables at small x. We introduce a coupled pair of evolution…

高能物理 - 唯象学 · 物理学 2014-11-17 J. Kwiecinski , A. D. Martin , A. M. Stasto

The high-energy factorization and the associated B-JIMWLK or BK evolution equations are presented, using the example of DIS structure functions. The necessity of taking gluon saturation into account is discussed, and also the various…

高能物理 - 唯象学 · 物理学 2015-05-30 Guillaume Beuf

The Leding-Logarithmic (LL) gluon Sudakov formfactor is derived from rapidity-ordered BFKL evolution with longitudinal-momentum conservation. This derivation further clarifies the relation between High-Energy and TMD-factorizations and can…

高能物理 - 唯象学 · 物理学 2021-10-04 Maxim Nefedov

In this short review we elaborate the significance of resummation in $k_T$ factorization theorem, and summarize the recent progresses in the calculations of the next-to-leading order contributions to B meson decays from the perturbative QCD…

高能物理 - 唯象学 · 物理学 2021-01-05 Shan Cheng , Zhen-jun Xiao

Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and…

高能物理 - 格点 · 物理学 2009-10-22 N. Ishizuka , Y. Shizawa

The partial success of the block renormalization group techniques is analysed in terms of a functional operator which formalizes the idea of self-replicability of a system in terms of smaller blocks which are similar to the original. The…

数学物理 · 物理学 2009-09-29 Javier Rodriguez-Laguna , German Sierra

We summarize our recent result for a splitting function for small x evolution which includes resummed small x logarithms deduced from the leading order BFKL equation with the inclusion of running coupling effects. We compare this improved…

高能物理 - 唯象学 · 物理学 2007-05-23 Guido Altarelli , Richard D. Ball , Stefano Forte

Recently the non-forward BFKL kernel for interaction of two Reggeized gluons in the antisymmetric colour octet state in the $t$-channel was obtained in the next-to-leading order. It gives the possibility to check in this order the bootstrap…

高能物理 - 唯象学 · 物理学 2009-10-31 V. S. Fadin , R. Fiore , M. I. Kotsky

We compute the effect of soft-gluon resummation, at the next-to-leading-logarithmic level, in the hadroproduction cross-section for heavy flavours. Applications to top, bottom and charm total cross-sections are discussed. We find in general…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Bonciani , S. Catani , M. L. Mangano , P. Nason

The summation of the small x corrections to hard scattering QCD amplitudes by collinear factorisation method is reconsidered and the K-factor is derived in leading log x approximation. The corresponding expression by Catani and Hautmann…

高能物理 - 唯象学 · 物理学 2010-04-22 R. Kirschner , M. Segond

It is well understood that the leading logarithmic approximation for the amplitudes of high energy processes is insufficient and that the next-to-leading logarithmic effects are very large and lead to instability of the solution. The…

高能物理 - 唯象学 · 物理学 2020-04-22 Michal Deak , Leonid Frankfurt , Mark Strikman , Anna Stasto

We study the asymptotic behavior of the $B$ meson wave function in the framework of $k_T$ factorization theorem. We first construct a definition of the $k_T$-dependent $B$ meson wave function, which is free of light-cone divergences.…

高能物理 - 唯象学 · 物理学 2009-11-10 Hsiang-nan Li , Huei-Shih Liao

The renormalisation constants for local bilinear quark operators are calculated using the Sheikholeslami-Wohlert improved action. In addition we compute the renormalisation constant of the leading gluon operator for different group…

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

At very high energies, the relevant component of the hadron wavefunction can be described as a Color Glass Condensate, i.e., a state of high density gluonic matter whose distribution is random, but frozen over the relevant time scales. The…

高能物理 - 唯象学 · 物理学 2017-08-23 Edmond Iancu

Renormalization Group Equations in integro-differential form describing the evolution of cascades or resumming logarithmic scaling violations have been known in quantum field theory for a long time. These equations have been traditionally…

高能物理 - 唯象学 · 物理学 2017-08-23 A. Cafarella , C. Coriano' , M. Guzzi

Renormalization scheme uncertainties in the next-next-to-leading order QCD predictions are discussed. To obtain an estimate of these uncertainties it is proposed to compare predictions in all schemes that do not have unnaturally large…

高能物理 - 唯象学 · 物理学 2009-10-28 Piotr A. Raczka

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

高能物理 - 唯象学 · 物理学 2024-01-17 Andreas S. Kronfeld