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Effective field theory methods are used to study factorization of the deep inelastic scattering cross-section. The cross-section is shown to factor in QCD, even though it does not factor in perturbation theory for some choices of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aneesh V. Manohar

We consider the QCD factorization of DIS structure functions at small x and amplitudes of 2->2 -hadronic forward scattering at high energy. We show that both collinear and k_T-factorization for these processes can be obtained approximately…

High Energy Physics - Phenomenology · Physics 2015-06-03 B. I. Ermolaev , M. Greco , S. I. Troyan

We consider the structure of divergences in Drell-Yan process with small transverse momentum. The factorization proof is not trivial because various kinds of divergences are intertwined in the collinear and soft parts at high orders. We…

High Energy Physics - Phenomenology · Physics 2013-05-30 Junegone Chay , Chul Kim

A consistent factorization theorem is presented in the framework of effective field theories. Conventional factorization suffers from infrared divergences in the soft and collinear parts. We present a factorization theorem in which the…

High Energy Physics - Phenomenology · Physics 2013-03-27 Junegone Chay , Chul Kim

We derive a new factorization formula in perturbative quantum chromodynamics for the Drell-Yan massive lepton-pair cross section as a function of the transverse momentum $Q_T$ of the pair. When $Q_T$ is much larger than the pair's invariant…

High Energy Physics - Phenomenology · Physics 2009-11-07 Edmond L. Berger , Jianwei Qiu , Xiaofei Zhang

We propose a new fast method to match factorization theorems applicable in different kinematical regions, such as the transverse-momentum-dependent and the collinear factorization theorems in Quantum Chromodynamics. At variance with…

High Energy Physics - Phenomenology · Physics 2018-04-04 Miguel G. Echevarria , Tomas Kasemets , Jean-Philippe Lansberg , Cristian Pisano , Andrea Signori

In the original Collins-Soper-Sterman (CSS) presentation of the results of transverse-momentum-dependent (TMD) factorization for the Drell-Yan process, results for perturbative coefficients can be obtained from calculations for collinear…

High Energy Physics - Phenomenology · Physics 2017-09-20 John Collins , Ted C. Rogers

We introduce a novel approach to high-energy QCD factorization of cross-sections for processes involving a dilute projectile and a dense target. Our method preserves the factorization between "fast" and "slow" modes in the longitudinal…

High Energy Physics - Phenomenology · Physics 2025-09-25 Renaud Boussarie , Paul Caucal , Yacine Mehtar-Tani

We examine the uncertainty of perturbative QCD factorization for hadron structure functions in deep inelastic scattering at a large value of the Bjorken variable xB. We analyze the target mass correction to the structure functions by using…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alberto Accardi , Jian-Wei Qiu

We exhibit a method for simultaneously treating recoil and threshold corrections in single-photon inclusive cross sections, working within the formalism of collinear factorization. This approach conserves both the energy and transverse…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eric Laenen , George Sterman , Werner Vogelsang

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

We propose a collinear factorization formula for the associated production of one particle and a Drell-Yan pair in hadronic collisions. It is shown that additional collinear singularities appearing in the next-to-leading order calculations…

High Energy Physics - Phenomenology · Physics 2015-03-17 Federico Alberto Ceccopieri

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

Beyond leading-order, perturbative QCD requires a choice of factorisation scheme to define the parton distribution functions (PDFs) and hard-process cross-section. The modified minimal-subtraction ($\overline{\mathrm{MS}}$) scheme has long…

High Energy Physics - Phenomenology · Physics 2025-05-12 Stéphane Delorme , Aleksander Kusina , Andrzej Siódmok , James Whitehead

The formalism for uniform description of Drell-Yan transverse-momentum spectrum is presented in a framework of High-Energy Factorization, which smoothly interpolates between Collins-Soper-Sterman formalism at $|{\bf q}_T|\ll Q$ and usual…

High Energy Physics - Phenomenology · Physics 2021-01-04 Maxim A. Nefedov , Vladimir A. Saleev

In this paper we argue for existence of an intrinsic mass scale in QCD factorization and present a possible origin of it. Values of this scale are within the Non-Perturbative QCD mass range. It differs from the known factorization scale…

High Energy Physics - Phenomenology · Physics 2018-02-14 B. I. Ermolaev , S. I. Troyan

Splitting functions are universal functions describing the collinear dynamics of gauge theories, and as such are crucial ingredients for a wide variety of calculations in perturbative QCD. We present analytic results for the triple…

High Energy Physics - Phenomenology · Physics 2023-11-29 Evan Craft , Mark Gonzalez , Kyle Lee , Bianka Meçaj , Ian Moult

With nuclear targets comes a new scale into the pQCD description of hard processes - the saturation scale. In the saturation regime, the familiar linear k_\perp-factorization breaks down and must be replaced by a nonlinear…

High Energy Physics - Phenomenology · Physics 2009-11-13 W. Schäfer

The collinear factorization theorem, combined with finite-order calculations in perturbative QCD, provides a powerful framework to obtain predictions for many collider observables. However, for observables which involve multiple energy…

High Energy Physics - Phenomenology · Physics 2022-02-03 Aleksandra Lelek

We study the scattering of a single parton state with a multi-parton state to derive the complete results of perturbative coefficient functions at leading order, which appear in the collinear factorization for Single transverse-Spin…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. P. Ma , H. Z. Sang , S. J. Zhu