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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…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jeffrey R. Forshaw , Michael H. Seymour , Andrzej Siodmok

We calculate transverse momentum dependent quark splitting kernels $P_{gq}$ and $P_{qq}$ within $k_T$-factorization, completing earlier results which concentrated on gluon splitting functions $P_{gg}$ and $P_{qg}$. The complete set of…

High Energy Physics - Phenomenology · Physics 2016-03-23 Oleksandr Gituliar , Martin Hentschinski , Krzysztof Kutak

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

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

Jet calculus offers a unique mathematical technique to bridge the area of QCD resummation with Monte Carlo parton showers. With the ultimate goal of constructing next-to-next-to-leading logarithmic (NNLL) parton showers we study, using the…

High Energy Physics - Phenomenology · Physics 2024-04-24 Melissa van Beekveld , Mrinal Dasgupta , Basem Kamal El-Menoufi , Jack Helliwell , Pier Francesco Monni

In the present paper we introduce the class of slice-polynomial functions: slice regular functions {defined over the quaternions, outside the real axis,} whose restriction to any complex half-plane is a polynomial. These functions naturally…

Complex Variables · Mathematics 2019-01-03 Amedeo Altavilla , Giulia Sarfatti

We review a recently proposed phenomenological framework to establish the notions of QCD factorization and universality of jet cross sections in the heavy-ion environment. First results of a global analysis of the nuclear modification…

High Energy Physics - Phenomenology · Physics 2021-02-03 Jian-Wei Qiu , Felix Ringer , Nobuo Sato , Pia Zurita

We have calculated the complete matrix of three-loop helicity-difference (`polarized') splitting functions Delta P_ik^(2), i,k = q,g, in massless perturbative QCD. In this note we briefly discuss some properties of the polarized splitting…

High Energy Physics - Phenomenology · Physics 2014-05-15 A. Vogt , S. Moch , J. A. M. Vermaseren

In a recent paper we have shown how to optimally compute the differential and cumulative cross sections for massive event-shapes at $\mathcal{O}(\alpha_s)$ in full QCD. In the present article we complete our study by obtaining resummed…

High Energy Physics - Phenomenology · Physics 2020-10-28 Alejandro Bris , Vicent Mateu , Moritz Preisser

We present the first global analysis of fragmentation functions (FFs) for light charged hadrons ($\pi^{\pm}$, $K^{\pm}$) at full next-to-next-to-leading order in Quantum Chromodynamics (QCD), incorporating world data from both…

High Energy Physics - Phenomenology · Physics 2025-07-28 Jun Gao , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao , Bin Zhou

We define and study the properties of generalized beam functions (BFs) and fragmenting jet functions (FJFs), which are fully-unintegrated parton distribution functions (PDFs) and fragmentation functions (FFs) for perturbative k_T. We…

High Energy Physics - Phenomenology · Physics 2015-05-30 Ambar Jain , Massimiliano Procura , Wouter J. Waalewijn

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

High Energy Physics - Lattice · Physics 2013-10-31 Tajdar Mufti , Axel Maas

We present the next-to-next-to-leading order (NNLO) contributions to the main splitting functions for the evolution of longitudinally polarized parton densities of hadrons in perturbative QCD. The quark-quark and gluon-quark splitting…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Moch , J. A. M. Vermaseren , A. Vogt

We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Kajal Samanta , Ding Yu Shao , Yang-Li Zeng

We propose a methodology for studying the performance of common splitting methods through semidefinite programming. We prove tightness of the methodology and demonstrate its value by presenting two applications of it. First, we use the…

Optimization and Control · Mathematics 2020-05-01 Ernest K. Ryu , Adrien B. Taylor , Carolina Bergeling , Pontus Giselsson

We propose the addition of a new "soft-collinear" mode to soft collinear effective theory (SCET) below the usual soft scale to factorize and resum logarithms of jet radii $R$ in jet cross sections. We consider exclusive 2-jet cross sections…

High Energy Physics - Phenomenology · Physics 2016-02-03 Yang-Ting Chien , Andrew Hornig , Christopher Lee

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

In this talk I give an overview of soft collinear effective theory (SCET), including a discussion of some recent advances. First, I briefly cover the foundation upon which SCET is built, namely QCD factorization, and review the theoretical…

High Energy Physics - Phenomenology · Physics 2011-07-19 Sean Fleming

We revisit the description of pion production in proton-proton collisions in the light of the very precise data taken at the Large Hadron Collider (LHC) over the past decade. First attempts to include LHC results in next-to-leading order…

High Energy Physics - Phenomenology · Physics 2022-02-23 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann

In this thesis, the infrared structure of squared matrix elements in quantum chromodynamics (QCD) is scrutinised. Specifically, the triple-collinear splitting functions are decomposed and improvements to antenna subtraction are sought…

High Energy Physics - Phenomenology · Physics 2024-02-14 Oscar Braun-White