Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2018)161
Abstract: A bstractThe problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(Nc) QCD generalized Crewther relation (GCR), which connects the flavor non-singlet contributions to the Adler and… read more here.
Keywords: gauge; factorization; renormalization; scheme ... See more keywords
QCD factorization for the four-body leptonic B-meson decays
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DOI: 10.1007/jhep02(2022)141
Abstract: Abstract Employing the QCD factorization formalism we compute $$ {B}_u^{-}\to {\gamma}^{\ast}\mathrm{\ell}{\overline{v}}_{\mathrm{\ell}} $$ B u − → γ ∗ ℓ v ¯ ℓ form factors with an off-shell photon state possessing the virtuality of order mb… read more here.
Keywords: four body; mathrm ell; body leptonic; factorization ... See more keywords
An efficient solution of real-time data processing for multi-GNSS network
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DOI: 10.1007/s00190-017-1095-x
Abstract: Global navigation satellite systems (GNSS) are acting as an indispensable tool for geodetic research and global monitoring of the Earth, and they have been rapidly developed over the past few years with abundant GNSS networks,… read more here.
Keywords: multi gnss; data processing; real time; gnss ... See more keywords
Hyper-graph regularized discriminative concept factorization for data representation
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DOI: 10.1007/s00500-017-2636-1
Abstract: For the tasks of pattern analysis and recognition, nonnegative matrix factorization and concept factorization (CF) have attracted much attention due to its effective application to find the meaningful low-dimensional representation of data. However, they neglect… read more here.
Keywords: graph regularized; factorization; hyper graph; concept factorization ... See more keywords
Building a completely positive factorization
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DOI: 10.1007/s10100-017-0499-2
Abstract: A symmetric matrix of order n is called completely positive if it has a symmetric factorization by means of a rectangular matrix with n columns and no negative entries (a so-called cp factorization), i.e., if… read more here.
Keywords: dimension; positive factorization; factorization; matrix ... See more keywords
A Relative Monotone-Light Factorization System for Internal Groupoids
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DOI: 10.1007/s10485-018-9515-5
Abstract: Given an exact category $${\mathcal {C}}$$C, it is well known that the connected component reflector $$ \pi _0 :\mathsf {Gpd}(\mathcal {C}) \rightarrow \mathcal {C}$$π0:Gpd(C)→C from the category $$\mathsf {Gpd}(\mathcal {C})$$Gpd(C) of internal groupoids in $$\mathcal… read more here.
Keywords: monotone light; factorization; light factorization; factorization system ... See more keywords
Factorization in SL∞
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DOI: 10.1007/s11856-018-1719-8
Abstract: We show that the non-separable Banach space SL∞ is primary. This is achieved by directly solving the infinite-dimensional factorization problem in SL∞. In particular, we bypass Bourgain’s localization method. read more here.
Keywords: factorization;
Formal Factorization of Higher Order Irregular Linear Differential Operators
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DOI: 10.1007/s40598-019-00104-z
Abstract: We study the problem of formal decomposition (non-commutative factorization) of linear ordinary differential operators over the field $${{\mathbb {C}}}(\!(t)\!)$$C((t)) of formal Laurent series at an irregular singular point corresponding to $$t=0$$t=0. The solution (given in… read more here.
Keywords: formal factorization; factorization higher; order; factorization ... See more keywords
Feature Selection in Learning Common Sense Associations Using Matrix Factorization
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DOI: 10.1007/s40815-016-0235-4
Abstract: We propose a computational model to learn the common sense association between a pair of concept classes based on a bipartite network and matrix factorization methods. We view the concept-pair association as a bipartite network… read more here.
Keywords: factorization; common sense; matrix factorization; feature selection ... See more keywords
Factorization and non-factorization theorems for pseudocontinuable functions
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DOI: 10.1016/j.aim.2017.09.001
Abstract: Abstract Let θ be an inner function on the unit disk, and let K θ p : = H p ∩ θ H 0 p ‾ be the associated star-invariant subspace of the Hardy space… read more here.
Keywords: factorization theorems; factorization non; factorization; non factorization ... See more keywords
Factorization of saddle-point matrices in dynamical systems optimization—reusing pivots
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DOI: 10.1016/j.laa.2018.12.026
Abstract: Abstract In this paper we consider the application of direct methods for solving a sequence of saddle-point systems. Our goal is to design a method that reuses information from one factorization and applies it to… read more here.
Keywords: saddle point; factorization; systems optimization; dynamical systems ... See more keywords