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We develop a general method to quantify the uncertainties of parton distribution functions and their physical predictions, with emphasis on incorporating all relevant experimental constraints. The method uses the Hessian formalism to study…

高能物理 - 唯象学 · 物理学 2008-12-18 J. Pumplin , D. Stump , R. Brock , D. Casey , J. Huston , J. Kalk , H. L. Lai , W. K. Tung

We present a novel family of nonparametric omnibus tests of the hypothesis that two unknown but estimable functions are equal in distribution when applied to the observed data structure. We developed these tests, which represent a…

统计理论 · 数学 2017-06-15 Alexander R. Luedtke , Marco Carone , Mark J. van der Laan

Several aspects of the internal structure of pseudoscalar mesons, accessible through generalized parton distributions in their zero-skewness limit, are examined. These include electromagnetic and gravitational form factors related to charge…

高能物理 - 唯象学 · 物理学 2024-12-10 K. Raya , A. Bashir , J. Rodríguez-Quintero

In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of the expectation of a quadratic objective in a situation…

最优化与控制 · 数学 2015-06-01 M. Dambrine , C. Dapogny , H. Harbrecht

We derive the triply differential spectrum for the inclusive rare decay B -> Xs l+ l- in the shape function region, in which Xs is jet-like with $mX^2 \lesssim mb \Lambda_QCD$. Experimental cuts make this a relevant region. The perturbative…

高能物理 - 唯象学 · 物理学 2008-11-26 Keith S. M. Lee , Iain W. Stewart

Connecting orbits are important invariant structures in the state space of nonlinear systems and various techniques are designed for their computation. However, a uniform analytic approximation of the whole orbit seems rare. Here, based on…

数学物理 · 物理学 2025-07-02 Pengfei Guo , Yueheng Lan , Jianyong Qiao

Moments of the renormalized B-meson shape function provide a natural way to define short-distance, running heavy-quark parameters such as the b-quark mass and kinetic energy. These parameters are particularly well suited for studies of…

高能物理 - 唯象学 · 物理学 2010-04-05 Matthias Neubert

Computational molecular modeling and visualization has seen significant progress in recent years with sev- eral molecular modeling and visualization software systems in use today. Nevertheless the molecular biology community lacks…

计算工程、金融与科学 · 计算机科学 2016-05-20 Muhibur Rasheed , Nathan Clement , Abhishek Bhowmick , Chandrajit Bajaj

We consider the decay of a heavy flavour into an inclusive hadronic state X of invariant mass m_X small with respect to its energy E_X, m_X << E_X. The electron spectrum and the hadronic mass distribution in semileptonic b -> u decays, or…

高能物理 - 唯象学 · 物理学 2009-10-31 Ugo Aglietti , Giulia Ricciardi

We calculate the subleading twist contributions to the endpoint of the inclusive lepton energy spectrum in B -> X_u l \nu. We show that the same two subleading twist functions that appear in the decay B -> X_s \gamma govern the subleading…

高能物理 - 唯象学 · 物理学 2011-02-01 Christian W. Bauer , Michael Luke , Thomas Mannel

In this study, we introduce a method for learning group (known or unknown) equivariant functions by learning the associated quadratic form $x^T A x$ corresponding to the group from the data. Certain groups, known as orthogonal groups,…

机器学习 · 计算机科学 2025-10-16 Pavan Karjol , Vivek V Kashyap , Rohan Kashyap , Prathosh A P

We study the triple differential distribution of B-> Xu l nu, consistently including all perturbative and non-perturbative effects through O(alphas^2 beta_0) and O(1/mb^3). The Fermi motion is parameterized in terms of a single light-cone…

高能物理 - 唯象学 · 物理学 2009-02-18 P. Gambino , P. Giordano , G. Ossola , N. Uraltsev

We test the parton model approach to inclusive $B \ra \gamma X_s$ and $B \ra e \bar{\nu} X_u$ processes by calculating a few moments of the distribution function. The $1/m_Q$ expansion of $b$-quark distribution function is discussed. We…

高能物理 - 唯象学 · 物理学 2015-06-25 Kang Young Lee , Jae Kwan Kim

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

图像与视频处理 · 电气工程与系统科学 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

The contributions of subleading shape functions to inclusive decay distributions of B mesons are derived from a systematic two-step matching of QCD current correlators onto soft-collinear and heavy-quark effective theory. At tree-level, the…

高能物理 - 唯象学 · 物理学 2010-02-03 Stefan W. Bosch , Matthias Neubert , Gil Paz

We derive a class of formulae relating moments of B -> Xu l nu to B -> Xs gamma in the shape function region, where m_X^2 ~ m_b Lambda_QCD. We also derive an analogous class of formulae involving the decay B -> Xs l+ l-. These results…

高能物理 - 唯象学 · 物理学 2008-12-16 Keith S. M. Lee

Uncertainty estimation is an essential and heavily-studied component for the reliable application of semantic segmentation methods. While various studies exist claiming methodological advances on the one hand, and successful application on…

计算机视觉与模式识别 · 计算机科学 2024-05-06 Kim-Celine Kahl , Carsten T. Lüth , Maximilian Zenk , Klaus Maier-Hein , Paul F. Jaeger

Using results on soft-collinear factorization for inclusive B-meson decay distributions, a systematic study of the partial $B\to X_s\gamma$ decay rate with a cut $E_\gamma > E_0$ on photon energy is performed. For values of $E_0$ below…

高能物理 - 唯象学 · 物理学 2009-11-10 Matthias Neubert

We study the structure of renormalons in the Heavy Quark Effective Theory, by expanding the heavy quark propagator in powers of $1/m_Q$. We demonstrate that the way in which renormalons appear depends on the regularisation scheme used to…

高能物理 - 唯象学 · 物理学 2016-09-01 G. Martinelli , M. Neubert , C. T. Sachrajda

It is argued that the dominant subleading shape-function contributions to the endpoint region of the charged-lepton energy spectrum in B -> X_u l nu decays can be related in a model-independent way to an integral over the B -> X_s gamma…

高能物理 - 唯象学 · 物理学 2010-04-05 Matthias Neubert