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In this work, we present a complete theoretical framework for analyzing the distribution of polarized hadrons within jets, with and without measuring the transverse momentum relative to the standard jet axis. Using soft-collinear effective…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Hongxi Xing , Fanyi Zhao , Yiyu Zhou

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

In \cite{1808.03288}, logarithmic correction to subleading soft photon and soft graviton theorems have been derived in four spacetime dimensions from the ratio of IR-finite S-matrices. This has been achieved after factoring out IR-divergent…

High Energy Physics - Theory · Physics 2023-11-15 Hare Krishna , Biswajit Sahoo

Recent BELLE measurements provide the cross section for single hadron production in $e^+e^-$ annihilations, differential in thrust and in the hadron transverse momentum with respect to the thrust axis. Universality breaking effects due to…

High Energy Physics - Phenomenology · Physics 2021-02-24 M. Boglione , A. Simonelli

In this paper, we firstly varify that the factorization hypothesis is valid for the exclusive process $\rho \gamma^{\star} \to \pi$ at the next-to-leading order (NLO) with the collinear factorization approach, and then extend this proof to…

High Energy Physics - Phenomenology · Physics 2014-10-08 Shan Cheng , Zhen-Jun Xiao

Threshold resummation for factorizable cross sections in hadron-hadron collisions has a number of applications and extensions. We discuss factorization scale dependence, resummation at nonleading power in the moment variable, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman , Werner Vogelsang

The robustness of the factorization theorem for total cross sections, $\sigma_{nn}/\sigma_{\gamma p}=\sigma_{\gamma p}/\sigma_{\gamma\gamma}$, originally proved by Block and Kaidalov\cite{bk} for $nn$ (the even portion of $pp$ and $\pbar p$…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. M. Block

The theoretical description of observables at collider experiments relies on factorization theorems separating perturbative dynamics from universal non-perturbative matrix elements. Despite significant recent progress in extending these…

High Energy Physics - Phenomenology · Physics 2023-08-04 Kyle Lee , Ian Moult

We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft…

High Energy Physics - Phenomenology · Physics 2011-12-21 Ye Li , Sonny Mantry , Frank Petriello

Parametrizing TMD parton densities and fragmentation functions in ways that consistently match their large transverse momentum behavior in standard collinear factorization has remained notoriously difficult. We show how the problem is…

High Energy Physics - Phenomenology · Physics 2023-06-07 J. O. Gonzalez-Hernandez , T. Rainaldi , T. C. Rogers

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…

High Energy Physics - Phenomenology · Physics 2011-09-13 Makiko Nagashima , Hsiang-nan Li

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

Factorization of matrices of Laurent polynomials plays an important role in mathematics and engineering such as wavelet frame construction and filter bank design. Wavelet frames (a.k.a. framelets) are useful in applications such as signal…

Classical Analysis and ODEs · Mathematics 2021-12-03 Chenzhe Diao , Bin Han , Ran Lu

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse…

High Energy Physics - Phenomenology · Physics 2021-02-03 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

We explore the quark mass effects on inclusive hadron production in proton-nucleus collisions at high energies. We consider two processes. First, we compute the single inclusive cross-section for production of hadrons with open heavy…

High Energy Physics - Phenomenology · Physics 2016-04-06 Tolga Altinoluk , Néstor Armesto , Guillaume Beuf , Alex Kovner , Michael Lublinsky

We construct a theoretical framework to match the formulas for forward inclusive hadron productions in pA collisions in the small-x saturation formalism and collinear factorization. The small-x calculation can be viewed as a power series in…

High Energy Physics - Phenomenology · Physics 2014-07-30 Anna M. Staśto , Bo-Wen Xiao , Feng Yuan , David Zaslavsky

We consider the fragmentation of a parton into a jet with small radius $R$ in the large $z$ limit, where $z$ is the ratio of the jet energy to the mother parton energy. In this region of phase space, large logarithms of both $R$ and $1-z$…

High Energy Physics - Phenomenology · Physics 2017-04-12 Lin Dai , Chul Kim , Adam K. Leibovich

A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large $p_T$ at collider energies. With systematically calculated short-distance partonic hard parts and evolution kernels of fragmentation…

High Energy Physics - Phenomenology · Physics 2014-06-11 Yan-Qing Ma , Jian-Wei Qiu , Hong Zhang

Processes involving narrow jets receive perturbative corrections enhanced by logarithms of the jet opening angle and the ratio of the energies inside and outside the jets. Analyzing cone-jet processes in effective field theory, we find that…

High Energy Physics - Phenomenology · Physics 2016-05-18 Thomas Becher , Matthias Neubert , Lorena Rothen , Ding Yu Shao

The inclusive gluon production at midrapidities is described in the Color Glass Condensate formalism using the $k_T$ - factorization formula, which was derived at fixed coupling constant considering the scattering of a dilute system of…

High Energy Physics - Phenomenology · Physics 2016-09-28 F. O. Durães , A. V. Giannini , V. P. Goncalves , F. S. Navarra