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We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and…

高能物理 - 唯象学 · 物理学 2011-09-13 Makiko Nagashima , Hsiang-nan Li

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…

高能物理 - 唯象学 · 物理学 2011-08-11 S. Catani , M. Fontannaz , E. Pilon

The summation of the small x-corrections to hard-scattering QCD amplitudes by collinear factorisation method is reconsidered and the K-factor is derived in leading ln x approximation with a result differing from the corresponding expression…

高能物理 - 唯象学 · 物理学 2016-11-25 R. Kirschner , M. Segond

We study the one-loop correction in Transverse-Momentum-Dependent(TMD) factorization for Drell-Yan processes at small transverse momentum of the lepton pair. We adopt the so-called subtractive approach, in which one can systematically…

高能物理 - 唯象学 · 物理学 2014-04-09 J. P. Ma , G. P. Zhang

The singularities associated with QCD factorization in the collinear limit are key ingredients for high-precision theoretical predictions in particle physics. They govern the collinear behaviour of scattering amplitudes, as well as the…

高能物理 - 唯象学 · 物理学 2023-10-31 Prasanna K. Dhani , Germán Rodrigo , German F. R. Sborlini

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that…

高能物理 - 唯象学 · 物理学 2015-06-05 Jeffrey R. Forshaw , Michael H. Seymour , Andrzej Siodmok

We consider the singular behaviour of QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. At the tree level, this behaviour is known to be controlled by factorization…

高能物理 - 唯象学 · 物理学 2015-06-03 Stefano Catani , Daniel de Florian , German Rodrigo

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Catani , M. Grazzini

In this paper we study the transverse energy spectrum for the Drell-Yan process. The transverse energy is measured within the central region defined by a (pseudo-) rapidity cutoff. Soft-collinear effective theory (SCET) is used to factorize…

高能物理 - 唯象学 · 物理学 2018-09-25 Daekyoung Kang , Yiannis Makris , Thomas Mehen

The remarkable properties of the real scalar quartic quantum field theory on the Moyal plane in combination with its similarity to the Kontsevich model make the model's partition function an interesting object to study. However, direct…

数学物理 · 物理学 2019-09-04 Jins de Jong , Raimar Wulkenhaar

To obtain more precise parton distribution functions (PDFs) it is important to include data on inclusive high transverse energy jet production in the global parton analyses. These data have high statistics and the NNLO terms in the…

高能物理 - 唯象学 · 物理学 2017-04-26 A. D. Martin , M. G. Ryskin

We develop a perturbative QCD factorization theorem which is compatible with effective field theory. The factorization involves three scales: an infrared cutoff of order $\Lambda_{\rm QCD}$, a hard scale of order the $B$ meson mass, and an…

高能物理 - 唯象学 · 物理学 2011-07-19 Chia-Hung V. Chang , Hsiang-nan Li

Inclusive deep inelastic scattering factorization combines two features that are often treated separately: an asymptotic reconstruction of the current-current matrix element from hard and long-distance data, and an invariance under finite…

高能物理 - 唯象学 · 物理学 2026-05-18 Dustin Keller

We revisit the derivation of collinear factorization for Deep Inelastic Scattering at sub-asymptotic values of the four momentum transfer squared, where the masses of the particles participating in the interaction cannot be neglected. By…

高能物理 - 唯象学 · 物理学 2023-01-27 Juan V. Guerrero , Alberto Accardi

Based on a recent work on the quantum chromodynamic (QCD) factorization for semi-inclusive deep-inelastic scattering (DIS), we present a set of factorization formulas for the spin-dependent DIS and Drell-Yan cross sections at low transverse…

高能物理 - 唯象学 · 物理学 2009-11-10 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

Fractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall…

介观与纳米尺度物理 · 物理学 2021-01-27 Chaojing Lin , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We present the details of a new factorized approach to semi-inclusive deep-inelastic scattering which treats QED and QCD radiation on equal footing, and provides a systematically improvable approximation to the extraction of transverse…

高能物理 - 唯象学 · 物理学 2021-12-08 Tianbo Liu , W. Melnitchouk , Jian-Wei Qiu , N. Sato

The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in QCD…

高能物理 - 唯象学 · 物理学 2023-04-11 Stefano Catani , Prasanna K. Dhani

Using methods from effective field theory, an exact all-order expression for the Drell-Yan cross section at small transverse momentum is derived directly in q_T space, in which all large logarithms are resummed. The anomalous dimensions and…

高能物理 - 唯象学 · 物理学 2011-06-20 Thomas Becher , Matthias Neubert

We derive a factorization theorem for Drell-Yan process at low q_T using effective field theory methods. In this theorem all the obtained quantities are gauge invariant and the special role of the soft function--and its subtraction…

高能物理 - 唯象学 · 物理学 2015-06-03 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi