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More precise unification predictions require going beyond the lowest order, including 2-loop running of the couplings and a correct treatment of threshold effects. Here we revised two different approaches to deal with light thresholds,…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Bastero-Gil

We estimate the power corrections (infrared renormalon contributions) to the coefficient functions for the transverse, longitudinal and asymmetric fragmentation functions in $e^+e^-$ annihilation, using a method based on the analysis of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Dasgupta , B. R. Webber

We use an abelian model to study linear power corrections which arise from infrared renormalons and affect event shapes in $e^+e^-$ annihilation into hadrons. While previous studies explored power corrections in the two-jet region, in this…

High Energy Physics - Phenomenology · Physics 2022-12-28 Fabrizio Caola , Silvia Ferrario Ravasio , Giovanni Limatola , Kirill Melnikov , Paolo Nason , Melih Arslan Ozcelik

After reviewing how the renormalization group equation can be used to sum logarithmic corrections to the decay rate for the semi-leptonic process b->u when using minimal subtraction, we consider renormalization scheme dependence for this…

High Energy Physics - Phenomenology · Physics 2015-12-04 D. G. C. McKeon

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

Machine Learning · Computer Science 2024-03-14 Sebastian G. Gruber , Florian Buettner

We present the computation of energy-energy correlation in $e^+e^-$ collisions in the back-to-back region at next-to-next-to-leading logarithmic accuracy matched with the next-to-next-to-leading order perturbative prediction. We study the…

High Energy Physics - Phenomenology · Physics 2017-12-06 Zoltán Tulipánt , Adam Kardos , Gábor Somogyi

Infrared power corrections for the average thrust < T > in e+e- annihilation are analyzed in the framework of renormalon resummation, motivated by analogy with the skeleton expansion in QED and the BLM approach. Performing the ``massive…

High Energy Physics - Phenomenology · Physics 2009-10-31 Einan Gardi , Georges Grunberg

The ambiguities inherent in renormalization are considered when using mass-independent renormalization in massless theories that involve two coupling coupling constants. We review how there is no renormalization scheme in which the…

High Energy Physics - Phenomenology · Physics 2018-08-01 D. G. C. McKeon , Chenguang Zhao

We introduce a fine-grained framework for uncertainty quantification of predictive models under distributional shifts. This framework distinguishes the shift in covariate distributions from that in the conditional relationship between the…

Methodology · Statistics 2025-05-20 Jiahao Ai , Zhimei Ren

Recent Monte Carlo simulations (A. G. Moreira and R. R. Netz: Eur. Phys. J. E {\bf 8} (2002) 33) in the strong Coulomb coupling regime suggest strange counterion electrostatics unlike the Poisson-Boltzmann picture: when…

Soft Condensed Matter · Physics 2020-01-07 Hiroshi Frusawa

The use of MS-like renormalization schemes in QCD requires an implementation of nontrivial matching conditions across thresholds, a fact often overlooked in the literature. We shortly review the use of these matching conditions in QCD and…

High Energy Physics - Phenomenology · Physics 2009-10-22 German Rodrigo , Arcadi Santamaria

Being able to provide explanations for a model's decision has become a central requirement for the development, deployment, and adoption of machine learning models. However, we are yet to understand what explanation methods can and cannot…

Machine Learning · Computer Science 2023-05-16 Amir-Hossein Karimi , Krikamol Muandet , Simon Kornblith , Bernhard Schölkopf , Been Kim

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

We analyze the resurgence properties of finite-dimensional exponential integrals which are prototypes for partition functions in quantum field theories. In these simple examples, we demonstrate that perturbation theory, even at arbitrarily…

High Energy Physics - Theory · Physics 2015-05-19 Aleksey Cherman , Peter Koroteev , Mithat Ünsal

Machine learning tools are commonly used in modern high energy physics (HEP) experiments. Different models, such as boosted decision trees (BDT) and artificial neural networks (ANN), are widely used in analyses and even in the software…

Data Analysis, Statistics and Probability · Physics 2016-12-21 A. Rogozhnikov

Adapting the final sample size of a trial to the evidence accruing during the trial is a natural way to address planning uncertainty. Designs with adaptive sample size need to account for their optional stopping to guarantee strict type-I…

The determination of renormalized parameters in model Hamiltonians is discussed. A simple model of a 3d compound is studied, and it is shown how higher states can be projected out, resulting in a simpler model with renormalized parameters.…

Strongly Correlated Electrons · Physics 2012-08-21 Olle Gunnarsson

Before deploying machine learning models it is critical to assess their robustness. In the context of deep neural networks for image understanding, changing the object location, rotation and size may affect the predictions in non-trivial…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 Jessica Yung , Rob Romijnders , Alexander Kolesnikov , Lucas Beyer , Josip Djolonga , Neil Houlsby , Sylvain Gelly , Mario Lucic , Xiaohua Zhai

Robustness of decision rules to shifts in the data-generating process is crucial to the successful deployment of decision-making systems. Such shifts can be viewed as interventions on a causal graph, which capture (possibly hypothetical)…

Artificial Intelligence · Computer Science 2021-05-20 Benjie Wang , Clare Lyle , Marta Kwiatkowska
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