A consistent factorization theorem is presented in the framework of effective field theories. Conventional factorization suffers from infrared divergences in the soft and collinear parts. We present a ...

Abstract: We present a new algebraic framework for linear trellises which yields a new and simpler proof of the fundamental Factorization Theorem by Koetter and Vardy [4], and which sheds light on ...

Abstract: An algebraic theorem called the ULA factorization theorem (Miyashita et al. (2003)) has been proved for a uniform linear array (ULA) with co-phase excitations. It ultimately governs the ...

Factorization theorem plays the central role at high energy colliders to study standard model and beyond standard model physics. The proof of factorization theorem is given by Collins, Soper and ...

An alternative proof of factorization theorem for Drell-Yan process that works at operator level is given in the article. Final state interactions for such inclusive processes are proved to be cancel ...

A block representation of the BLU factorization for block tridiagonal matrices is presented. Some properties on the factors obtained in the course of the factorization are studied. Simpler expressions ...

A version of this document that discusses the complex valued case can be found here . This material is probably best suited to students who have had a course in linear algebra already. Given a SPD ...