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Cut vertices, a generalization of matrix elements of local operators, are revisited, and an expansion in terms of minimally subtracted cut vertices is formulated. An extension of the formalism to deal with semi-inclusive deep inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Grazzini

We prove a factorization theorem for heavy-to-light form factors. Our result differs in several important ways from previous proposals. A proper separation of scales gives hard kernels that are free of endpoint singularities. A general…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

Using heavy quark effective theory a factorized form for inclusive production rate of a heavy meson can be obtained, in which the nonperturbative effect related to the heavy meson can be characterized by matrix elements defined in the heavy…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Ma

In the heavy quark limit inclusive production rate of a heavy meson can be factorized, in which the nonperturbative effect related to the heavy meson can be characterized by matrix elements defined in the heavy quark effective theory. Using…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Ma

Some emerging difficulties in the theoretical description of exclusive semileptonic $\bar B$ decays are discussed in the context of the quark model. While there are no unambiguous problems at this time, I discuss physics beyond the valence…

High Energy Physics - Phenomenology · Physics 2009-10-28 Nathan Isgur

I review recent theory developments for hard exclusive and semi-exclusive production of mesons, emphasising the variety of physics issues that can be studied in these processes.

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Diehl

We present the theory of hard exclusive processes, at medium and asymptotical energies, illustrated through some selected examples.

High Energy Physics - Phenomenology · Physics 2013-02-13 S. Wallon

I review the use of the Heavy Quark Effective Theory in the computation of total rates and differential kinematic distributions in inclusive semileptonic and radiative B decays. Particular attention is paid to strategies for the extraction…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam F. Falk

We give an introduction to the heavy-quark effective theory and the $1/m_Q$ expansion, which provide the modern framework for a systematic, model-independent description of the properties and decays of hadrons containing a heavy quark. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

We give an introduction to the heavy-quark effective theory and the $1/m_Q$ expansion, which provide the modern framework for a systematic, model-independent description of the properties and decays of hadrons containing a heavy quark. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

Using methods of effective field theory, a systematic analysis of the fragmentation functions D_{a/H}(x,m_Q) of a hadron H containing a heavy quark Q is performed (with a=Q,Q_bar,q,q_bar,g). By integrating out pair production of virtual and…

High Energy Physics - Phenomenology · Physics 2007-06-15 Matthias Neubert

We give a construction that identifies the collection of pure processes (i.e. those which are deterministic, or without randomness) within a theory containing both pure and mixed processes. Working in the framework of symmetric monoidal…

Quantum Physics · Physics 2018-03-05 Oscar Cunningham , Chris Heunen

We study the general framework of effective theories obtained via exact path integration of a complete theory over some sector of its degrees of freedom. Theories constructed this way contain multi-integrals which couple fields arbitrarily…

High Energy Physics - Theory · Physics 2024-08-06 Sergio Hernández-Cuenca

We discuss the structure of infrared singularities in on-shell QCD amplitudes with massive partons and present a general factorization formula in the limit of small parton masses. The factorization formula gives rise to an all-order…

High Energy Physics - Phenomenology · Physics 2010-10-27 A. Mitov , S. Moch

The study of factorization in the linearized gravity is extended to the graviton scattering processes with a massive scalar particle, with a massless vector boson and also with a graviton. Every transition amplitude is shown to be…

High Energy Physics - Phenomenology · Physics 2009-12-30 S. Y. Choi , J. S. Shim , H. S. Song

Different ``analytization'' procedures for the factorized pion form factor are discussed in comparison with the standard QCD perturbation theory at NLO. It is argued that demanding the analyticity of the exclusive amplitude as a…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , A. P. Bakulev , A. I. Karanikas , S. V. Mikhailov

A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to…

Quantum Physics · Physics 2021-04-14 V. P. Spiridonov

The recent theoretical progress in the description of semileptonic decays in the framework of the heavy mass expansion is summarized. Both inclusive and exclusive decays are considered.

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Mannel

A new effective method for factorization of a class of nonrational $n\times n$ matrix-functions with \emph{stable partial indices} is proposed. The method is a generalization of the one recently proposed by the authors which was valid for…

Complex Variables · Mathematics 2016-08-24 Gennady Mishuris , Sergei Rogosin

Factorization, in the sense defined for inclusive hard scattering, is discussed for diffractive hard scattering. A factorization theorem similar to its inclusive counterpart is presented for diffractive DIS. For hadron-hadron diffractive…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arjun Berera