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We develop a new approach to estimate the uncertainty due to missing higher orders in perturbative predictions (the perturbative "theory uncertainty"), which overcomes many inherent limitations of the currently prevalent methods based on…

High Energy Physics - Phenomenology · Physics 2025-03-28 Frank J. Tackmann

We consider the problem of quantifying the uncertainty on theoretical predictions based on perturbation theory due to missing higher orders. The most widely used approach, scale variation, is largely arbitrary and it has no probabilistic…

High Energy Physics - Phenomenology · Physics 2020-11-02 Marco Bonvini

With current high precision collider data, the reliable estimation of theoretical uncertainties due to missing higher orders (MHOs) in perturbation theory has become a pressing issue for collider phenomenology. Traditionally, the size of…

High Energy Physics - Phenomenology · Physics 2021-09-30 Claude Duhr , Alexander Huss , Aleksas Mazeliauskas , Robert Szafron

We consider two approaches to estimate and characterise the theoretical uncertainties stemming from the missing higher orders in perturbative calculations in Quantum Chromodynamics: the traditional one based on renormalisation and…

High Energy Physics - Phenomenology · Physics 2015-06-22 Emanuele Bagnaschi , Matteo Cacciari , Alberto Guffanti , Laura Jenniches

In this proceeding we present the results of our recent study (hep-ph/1409.5036) of the statistical performances of two different approaches, Scale Variation (SV) and the Bayesian model of Cacciari and Houdeau (CH)(hep-ph/1105.5152) (which…

High Energy Physics - Phenomenology · Physics 2015-06-04 Emanuele Bagnaschi

A comprehensive uncertainty estimation is vital for the precision program of the LHC. While experimental uncertainties are often described by stochastic processes and well-defined nuisance parameters, theoretical uncertainties lack such a…

High Energy Physics - Phenomenology · Physics 2023-05-08 Aishik Ghosh , Benjamin Nachman , Tilman Plehn , Lily Shire , Tim M. P. Tait , Daniel Whiteson

The problem of estimating the effect of missing higher orders in perturbation theory is analyzed with emphasis in the application to Higgs production in gluon-gluon fusion. Well-known mathematical methods for an approximated completion of…

High Energy Physics - Phenomenology · Physics 2013-09-19 André David , Giampiero Passarino

The electroweak diboson production cross-sections are known to receive large radiative corrections beyond leading-order (LO), approaching up to 60% at next-to-leading order (NLO), compared to the scale uncertainties which are in the range…

High Energy Physics - Phenomenology · Physics 2014-11-05 Prerit Jaiswal

The intrinsic conformality is a general property of the renormalizable gauge theory, which ensures the scale-invariance of a fixed-order series at each perturbative order. Following the idea of intrinsic conformality, we suggest a novel…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jiang Yan , Zhi-Fei Wu , Jian-Ming Shen , Xing-Gang Wu

We consider the inclusive production of a Higgs boson in gluon-fusion and we study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic accuracy (N$^3$LL) on the recently computed fixed-order prediction at…

High Energy Physics - Phenomenology · Physics 2016-08-19 Marco Bonvini , Simone Marzani , Claudio Muselli , Luca Rottoli

One of the main sources of theoretical uncertainty in the extraction of the strong coupling from hadronic tau decays stems from the renormalization-group improvement of the series. Perturbative series in QCD are divergent but are (most…

High Energy Physics - Phenomenology · Physics 2018-11-06 D. Boito , P. Masjuan , F. Oliani

We consider the problem of assigning a meaningful degree of belief to uncertainty estimates of perturbative series. We analyse the assumptions which are implicit in the conventional estimates made using renormalisation scale variations. We…

High Energy Physics - Phenomenology · Physics 2011-09-26 Matteo Cacciari , Nicolas Houdeau

We develop a higher-order perturbation theory for large-scale structure formation involving a free-streaming hot or warm dark matter species. We focus on the case of mixed cold dark matter and massive neutrinos, although our approach is…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-08 Florian Führer , Yvonne Y. Y. Wong

Fundamental assumptions which form the basis of models for large-scale structure in the Universe are sketched in light of a Lagrangian description of inhomogeneities. This description is introduced for Newtonian self-gravitating flows. On…

Astrophysics · Physics 2009-09-25 T. Buchert

We include uncertainties due to missing higher order corrections to QCD computations (MHOU) used in the determination of parton distributions (PDFs) in the recent NNPDF4.0 set of PDFs. We use our previously published methodology, based on…

The hadronic decay rate of the tau lepton serves as one of the most precise determinations of the QCD coupling alpha_s. The dominant theoretical source of uncertainty at present resides in the seeming disparity of two approaches to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthias Jamin

Variational inference has become one of the most widely used methods in latent variable modeling. In its basic form, variational inference employs a fully factorized variational distribution and minimizes its KL divergence to the posterior.…

Machine Learning · Statistics 2020-01-29 Robert Bamler , Cheng Zhang , Manfred Opper , Stephan Mandt

We investigate the building of unified models that can predict the matter-density power spectrum and the two-point correlation function from very large to small scales, being consistent with perturbation theory at low $k$ and with halo…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Patrick Valageas , Takahiro Nishimichi

Effective operators have been used extensively to understand small deviations from the Standard Model in the search for new physics. So far there has been no general method to fit for small parameters when higher order corrections in these…

Data Analysis, Statistics and Probability · Physics 2017-05-25 Laure Berthier , Jeppe Trøst Nielsen

From celestial mechanics to quantum theory of atoms and molecules, perturbation theory has played a central role in natural sciences. Particularly in quantum mechanics, the amount of information needed for specifying the state of a…

Quantum Physics · Physics 2016-07-06 Yudong Cao , Sabre Kais
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