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We discuss a higher-twist factorization procedure of the hadron tensor in deep inelastic scattering, proposed by Qiu, and extend it to include quark mass terms. Its property that the hard scattering parts are electromagnetic gauge invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boer , R. D. Tangerman

I consider nonleptonic decays of B mesons into two light mesons using the light-cone wave functions for the mesons. In the heavy quark limit, nonfactorizable contributions are calculable from first principles in some decay modes. I review…

High Energy Physics - Phenomenology · Physics 2017-08-23 Junegone Chay

We propose a semiclassical version of Shor's quantum algorithm to factorize integer numbers, based on spin-1/2 SU(2) generalized coherent states. Surprisingly, we find evidences that the algorithm's success probability is not too severely…

Quantum Physics · Physics 2009-11-10 Paolo Giorda , Alfredo Iorio , Samik Sen , Siddhartha Sen

We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles) in noncommutative rings. To do so, we extend concepts from the commutative theory of non-unique factorizations to a noncommutative setting. Several…

Rings and Algebras · Mathematics 2015-09-03 Nicholas R. Baeth , Daniel Smertnig

This is a survey on factorization theory. We discuss finitely generated monoids (including affine monoids), primary monoids (including numerical monoids), power sets with set addition, Krull monoids and their various generalizations, and…

Commutative Algebra · Mathematics 2019-12-02 Alfred Geroldinger , Qinghai Zhong

We summarize the standard factorization theorems for hard processes in QCD, and describe their proofs.

High Energy Physics - Phenomenology · Physics 2010-03-25 John C. Collins , Davison E. Soper , George Sterman

We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using factorizations of monomials into minimal ones. The goal is to…

Commutative Algebra · Mathematics 2018-09-03 I-Chiau Huang , Raheleh Jafari

A semi-process is an analog of the semi-flow for non-autonomous differential equations or inclusions. We prove an abstract result on the existence of measurable semi-processes in the situations where there is no uniqueness. Also, we allow…

Dynamical Systems · Mathematics 2017-07-21 Jorge E. Cardona , Lev Kapitanski

We present a general discussion of collider processes with not-completely inclusive production of heavy flavors. We review the Perturbative Fragmentation Functions formalism as the appropriate tool for studying such processes and detail the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander Mitov

We draw attention to various aspects of number theory emerging in the time evolution of elementary quantum systems with quadratic phases. Such model systems can be realized in actual experiments. Our analysis paves the way to a new,…

Quantum Physics · Physics 2015-06-26 Holger Mack , Marc Bienert , Florian Haug , Matthias Freyberger , Wolfgang P. Schleich

We consider the effective superpotentials of N=1 SU(N_c) and U(N_c) supersymmetric gauge theories that are obtained from the N=2 theory by adding a tree-level superpotential. We show that several of the techniques for computing the…

High Energy Physics - Theory · Physics 2007-05-23 Kristian D. Kennaway , Nicholas P. Warner

We review recent theoretical developments in heavy quarkonium physics from the point of view of Effective Field Theories of QCD. We discuss Non-Relativistic QCD and concentrate on potential Non-Relativistic QCD. Our main goal will be to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nora Brambilla , Antonio Pineda , Joan Soto , Antonio Vairo

The factorization properties of the radiative decays B->V gamma are analyzed at leading order in 1/m_b using the soft-collinear effective theory. It is shown that the decay amplitudes can be expressed in terms of a B->V form factor…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Becher , Richard J. Hill , Matthias Neubert

I briefly describe recent developments in the theoretical analysis of non leptonic and semileptonic B decays. For non leptonic transitions, I focus on factorization, from the naive formulation to the most recent achievements. As for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fulvia De Fazio

We analyze the structure of higher-order radiative corrections for processes with unstable particles. By subsequently integrating out the various scales that are induced by the presence of unstable particles we obtain a hierarchy of…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Chapovsky , V. A. Khoze , A. Signer , W. J. Stirling

We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i.e., quiver…

High Energy Physics - Theory · Physics 2015-05-18 Paul S. Aspinwall , David R. Morrison

Theoretical approaches to strange and other types of quark matter accounted for at the SQM2003 Meeting are reviewed. They range from simple statistical models through perturbative QCD supported mico-dynamical simulations til lattice gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. S. Biro

A novel method of asymptotic factorization of $n \times n$ matrix functions is proposed. Considered class of matrices is motivated by certain problems originated in the elasticity theory. An example is constructed to illustrate…

Complex Variables · Mathematics 2015-06-18 Gennady Mishuris , Sergei Rogosin

We derive an effective theory for dense, cold and massive quark matter. To this end, we employ a general effective action formalism where antiquarks and quarks far from the Fermi surface, as well as hard gluons, are integrated out…

Nuclear Theory · Physics 2008-11-26 Philipp T. Reuter

In this talk I will give an overview on theoretical aspects of top quark physics. The focus lies on top pair production and single top production.

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Weinzierl