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In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at…

Analysis of PDEs · Mathematics 2022-12-13 Bastian Harrach , Yi-Hsuan Lin

We examine the impact of threshold resummation for the inclusive hadronic production cross section of gluino pairs at next-to-next-to-leading-logarithmic accuracy, compared to the exact next-to-leading-order cross section and the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Torsten Pfoh

We carry out a global QCD analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order (NNLO) accuracy by performing a fit to the combined set of single-inclusive electron-positron annihilation and, for the first…

High Energy Physics - Phenomenology · Physics 2022-07-13 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann , Werner Vogelsang

The impact of recently calculated next-to-next-to-leading order QCD corrections and soft gluon resummations on the extraction of higher twist contributions to the deep-inelastic structure function F_2 is studied using the BCDMS and SLAC…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Schaefer , A. Schäfer , M. Stratmann

We discuss recent progress concerning the resummation of large logarithms at next-to-leading power (NLP) in scattering processes such as Drell-Yan and deep inelastic scattering near threshold, and thrust in the two-jet limit. We start by…

High Energy Physics - Phenomenology · Physics 2024-03-05 Leonardo Vernazza

We consider the longitudinal momentum distribution of hadrons inside jets in proton-proton collisions. At partonic threshold large double logarithmic corrections arise which need to be resummed to all orders. We develop a factorization…

High Energy Physics - Phenomenology · Physics 2020-03-18 Tom Kaufmann , Xiaohui Liu , Asmita Mukherjee , Felix Ringer , Werner Vogelsang

The generalized estimating equation (GEE) method is a popular tool for longitudinal data analysis. However, GEE produces biased estimates when the outcome of interest is associated with cluster size, a phenomenon known as informative…

Methodology · Statistics 2025-01-03 Yue Ma , Haofeng Wang , Xuejun Jiang

The behaviour of the quark coefficient functions in deep-inelastic scattering is investigated for large values of the Bjorken variable x. By combining results of soft-gluon resummation and fixed-order calculations, we determine the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Vogt

In $e^+e^-$ shape-variable studies, and in particular for the case of thrust, fixed-order QCD predictions are typically supplemented with the resummation of contributions enhanced near the two-jet limit. In this work we examine whether…

High Energy Physics - Phenomenology · Physics 2026-03-09 Luca Buonocore , Paolo Nason , Luca Rottoli , Paolo Torrielli

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-08-09 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

For many observables, the most difficult part of a single logarithmic resummation is the analytical treatment of the observable's dependence on multiple emissions. We present a general numerical method, which allows the resummation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giulia Zanderighi

We reanalyze the factorization theorems for Drell-Yan process and for deep inelastic scattering near threshold, as constructed in the framework of the soft-collinear effective theory (SCET), from a new, consistent perspective. In order to…

High Energy Physics - Phenomenology · Physics 2018-05-30 Junegone Chay , Chul Kim

In this paper, we study large-scale convex optimization algorithms based on the Newton method applied to regularized generalized self-concordant losses, which include logistic regression and softmax regression. We first prove that our new…

Optimization and Control · Mathematics 2019-11-22 Ulysse Marteau-Ferey , Francis Bach , Alessandro Rudi

In this study, we discuss the convergence and divergence of generalized integrals,\int_{0}^{+\infty}\frac{sin^{b}x}{x^{a}}dx(a\epsilon R^{+},b\epsilon N^{+}), and use the transformation method, the partial integration method, the…

General Mathematics · Mathematics 2019-12-11 Haoding Meng

We perform the first global QCD analysis of polarized inclusive and semi-inclusive deep-inelastic scattering and single-inclusive $e^+e^-$ annihilation data, fitting simultaneously the parton distribution and fragmentation functions using…

High Energy Physics - Phenomenology · Physics 2017-10-04 J. J. Ethier , N. Sato , W. Melnitchouk

We calculate the contribution of gluons to single inclusive hadron production at next-to-leading order (NLO) accuracy in Deep Inelastic Scattering (DIS) at small $x$ using the Color Glass Condensate formalism. It is shown that the only…

High Energy Physics - Phenomenology · Physics 2024-04-08 Filip Bergabo , Jamal Jalilian-Marian

We resum threshold double logarithms that appear in inclusive production of heavy quarkonium. This resolves the catastrophic failure of fixed-order perturbation theory where quarkonium cross sections at large transverse momentum can turn…

High Energy Physics - Phenomenology · Physics 2025-02-24 Hee Sok Chung , U-Rae Kim , Jungil Lee

We calculate the one-loop corrections to single inclusive hadron production in Deep Inelastic Scattering (DIS) at small $x$ in the forward rapidity region using the Color Glass Condensate formalism. We show that the divergent parts of the…

High Energy Physics - Phenomenology · Physics 2023-02-08 Filip Bergabo , Jamal Jalilian-Marian

We present a new prescription for the resummation of the divergent series of perturbative corrections, due to soft gluon emission, to hard processes near threshold in perturbative QCD (threshold resummation). This prescription is based on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Riccardo Abbate , Stefano Forte , Giovanni Ridolfi

Soft extrapolation refers to the problem of recovering a function from its samples, multiplied by a fast-decaying window and perturbed by an additive noise, over an interval which is potentially larger than the essential support of the…

Numerical Analysis · Mathematics 2018-12-26 Dmitry Batenkov , Laurent Demanet , Hrushikesh N. Mhaskar