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Related papers: The singular behavior of massive QCD amplitudes

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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

We perform a detailed investigation of multiple hard interactions in hadron-hadron collisions. We discuss the space-time, spin and color structure of multiple interactions, classify different contributions according to their power behavior…

High Energy Physics - Phenomenology · Physics 2016-02-19 Markus Diehl , Daniel Ostermeier , Andreas Schafer

We outline the basic properties of a pertubative QCD factorization formalism that maintains exact over-all kinematics in both the initial and final states. Such a treatment requires the use of non-perturbative factors that depend on all…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. C. Rogers

We develop a new systematic procedure for the Regge limit in perturbative QCD to arbitrary logarithmic order. The formalism relies on the IR structure and the gauge symmetry of the theory. We identify leading regions in loop momentum space…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tibor Kucs

We study the production of isolated photons in $e^+e^-$ annihilation and give the proof of the all-order factorization of the collinear singularities. These singularities are absorbed in the standard fragmentation functions of partons into…

High Energy Physics - Phenomenology · Physics 2011-08-11 S. Catani , M. Fontannaz , E. Pilon

We discuss how higher-point QCD amplitudes may be constructed from lower point ones by imposing the factorization constraints in the limits as external momenta become collinear. As a particular example, the all-$n$ gluon one-loop amplitude…

High Energy Physics - Phenomenology · Physics 2009-09-25 G. Chalmers

We generalise the factorization of abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalisation for Yukawa theory. From an all-order power counting analysis of leading and…

High Energy Physics - Phenomenology · Physics 2021-03-01 E. Laenen , J. Sinninghe Damsté , L. Vernazza , W. Waalewijn , L. Zoppi

The process of exclusive heavy vector meson photoproduction, gamma p -> V p, is studied in the framework of QCD factorization. The mass of the produced meson, V = Upsilon or J/Psi, provides a hard scale for the process. We demonstrate, that…

High Energy Physics - Phenomenology · Physics 2015-06-29 D. Y. Ivanov , A. Schaefer , L. Szymanowski , G. Krasnikov

We provide a rigorous basis for factorization for a large class of non-leptonic two-body $B$-meson decays in the heavy-quark limit. The factorization formula incorporates elements of the naive factorization approach and the hard-scattering…

High Energy Physics - Phenomenology · Physics 2009-10-09 M. Beneke , G. Buchalla , M. Neubert , C. T. Sachrajda

The QCD factorization approach provides the theoretical basis for a systematic analysis of nonleptonic decay amplitudes of B mesons in the heavy-quark limit. After recalling the basic ideas underlying this formalism, several tests of QCD…

High Energy Physics - Phenomenology · Physics 2010-11-23 Matthias Neubert

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 removal of unphysical singularities in the perturbatively calculable part of the pion form factor--a classic example of a three-point function in QCD--is discussed. Different ``analytization'' procedures in the sense of Shirkov and…

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

We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n-2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared-…

High Energy Physics - Phenomenology · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg->ttbar and…

High Energy Physics - Phenomenology · Physics 2010-04-05 Adrian Signer , Dominik Stöckinger

We study deep-inelastic scattering factorization on a nucleon in the end-point regime $x_B \sim 1-{\cal O}(\Lambda_{\rm QCD}/Q)$ where the traditional operator product expansion is supposed to fail. We argue, nevertheless, that the standard…

High Energy Physics - Phenomenology · Physics 2008-11-26 Panying Chen , Ahmad Idilbi , Xiangdong Ji

We investigate QCD amplitudes with massive quarks computed in the four-dimensional helicity scheme (FDH) and dimensional reduction at NNLO and describe how they are related to the corresponding amplitudes computed in conventional…

High Energy Physics - Phenomenology · Physics 2016-11-23 Christoph Gnendiger , Adrian Signer , Andrea Visconti

The soft current describes the factorization behavior of quantum chromodynamics (QCD) scattering amplitudes in the limit of vanishing energy of one of the external partons. It is process-independent and can be expanded in a perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-17 Claude Duhr , Thomas Gehrmann

There has been recent interest in understanding the all loop structure of the subleading power soft and collinear limits, with the goal of achieving a systematic resummation of subleading power infrared logarithms. Most of this work has…

High Energy Physics - Phenomenology · Physics 2020-06-24 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu

For any hard QCD amplitude with massless partons, infrared (IR) singularities arise from pinches in the complex planes of loop momenta, called pinch surfaces. To organize and study their leading behaviors in the neighborhoods of these…

High Energy Physics - Phenomenology · Physics 2020-05-20 Yao Ma

We show that a well-known simple formula for the explicit infrared poles of one-loop QCD amplitudes has a corresponding simple counterpart in unintegrated form. The unintegrated formula approximates the integrand of one-loop QCD amplitudes…

High Energy Physics - Phenomenology · Physics 2010-05-25 Mohammad Assadsolimani , Sebastian Becker , Stefan Weinzierl
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