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We show in detail that the $k_T$-factorization for exclusive processes is gauge-dependent and inconsistent.

High Energy Physics - Phenomenology · Physics 2011-06-15 F. Feng , J. P. Ma , Q. Wang

Recent developments in the theory of weak decays of heavy flavours are reviewed. Applications to exclusive semileptonic B decays, the semileptonic branching ratio and charm counting, beauty lifetimes, and hadronic B decays are discussed.

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

Effective fields defined in the heavy-quark effective theory to describe heavy quarks in heavy-light hadrons are examined in some detail in the standard formulation of a quantum field theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 Miguel A. Sanchis-Lozano

We define and study hard ``semi-exclusive'' processes of the form $A+B \to C + Y$ which are characterized by a large momentum transfer between the particles $A$ and $C$ and a large rapidity gap between the final state particle $C$ and the…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , M. Diehl , P. Hoyer , S. Peigne

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

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

We present a general classification of all normal and ``chiral" symmetries of heavy quark effective theories. Some peculiarities and conondrums associated with the ``chiral" symmetries are discussed.

High Energy Physics - Phenomenology · Physics 2009-10-22 Ashok Das , V. S. Mathur

Many known models, which generally use a factorization hypothesis, give a poor account of the decays B into J/psi + K(*). Usually there is a free overall factor, which is fit to the data, so that tests of the models rely upon ratios. The…

High Energy Physics - Phenomenology · Physics 2009-09-25 Carl E. Carlson , J. Milana

An introduction to the heavy quark effective theory and its symmetries is given. Some implications of the heavy quark spin and flavor symmetries are discussed. Recent results on fragmentation to quarkonium states are reviewed.

High Energy Physics - Phenomenology · Physics 2015-06-25 Mark B. Wise

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

With reference to a baseline parametrization, we explore highly efficient fractional factorial designs for inference on the main effects and, perhaps, some interactions. Our tools include approximate theory together with certain carefully…

Statistics Theory · Mathematics 2014-05-14 Rahul Mukerjee , S. Huda

We develop the representation theory of a finite semigroup over an arbitrary commutative semiring with unit, in particular classifying the irreducible and minimal representations. The results for an arbitrary semiring are as good as the…

Rings and Algebras · Mathematics 2010-04-13 Zur Izhakian , John Rhodes , Benjamin Steinberg

We derive a factorization theorem for the structure-dependent QED effects in the weak exclusive process $B^-\to\ell^-\bar\nu_\ell$, i.e., effects probing the internal structure of the $B$ meson. The derivation requires a careful treatment…

High Energy Physics - Phenomenology · Physics 2026-01-23 Claudia Cornella , Matthias König , Matthias Neubert

Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Bender , G. Dunne , M. Moshe

The energetic exclusive two-body nonleptonic decays of B mesons are investigated in the framework of the relativistic quark model within the factorization approximation.

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , R. N. Faustov , V. O. Galkin

A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse…

Quantum Physics · Physics 2008-10-13 J. Negro , L. M. Nieto , O. Rosas-Ortiz

We review many of the recently developed applications of Heavy Quark Effective Theory techniques. After a brief update on Luke's theorem, we describe striking relations between heavy baryon form factors, and how to use them to estimate the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Benjamin Grinstein

Factorization theorems for single inclusive jet production play a crucial role in the study of jets and their substructure. In the case of small radius jets, the dynamics of the jet clustering can be factorized from both the hard production…

High Energy Physics - Phenomenology · Physics 2024-10-01 Kyle Lee , Ian Moult , Xiaoyuan Zhang

The energetic exclusive two-body nonleptonic decays of B mesons are investigated in the framework of the relativistic quark model within the factorization approximation. The heavy quark expansion is used for the calculation of form factors.…

High Energy Physics - Phenomenology · Physics 2011-08-17 D. Ebert , R. N. Faustov , V. O. Galkin

Factorization theorems play a crucial role in our understanding of the strong interaction. For collider processes they are typically formulated at leading power and much less is known about power corrections in the $\lambda\ll 1$ expansion.…

High Energy Physics - Phenomenology · Physics 2018-05-09 Cyuan-Han Chang , Iain W. Stewart , Gherardo Vita

We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma…

High Energy Physics - Theory · Physics 2008-11-26 Denis Bernard