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I will review some of the recent intense activity concerning infrared and collinear divergences in gauge theory amplitudes. The central quantity in these studies is the multi-particle soft anomalous dimension matrix, which is completely…

高能物理 - 唯象学 · 物理学 2014-08-05 Lorenzo Magnea

In a previous paper (J. Phys. A 36, 11807 (2003)), we introduced the `asymptotic iteration method' for solving second-order homogeneous linear differential equations. In this paper, we study perturbed problems in quantum mechanics and we…

数学物理 · 物理学 2009-11-11 Hakan Ciftci , Richard L. Hall , Nasser Saad

Many random combinatorial objects have a component structure whose joint distribution is equal to that of a process of mutually independent random variables, conditioned on the value of a weighted sum of the variables. It is interesting to…

概率论 · 数学 2013-08-16 Richard Arratia , Simon Tavare

We employ a recent resummation method to deal with divergent series, based on the Meijer G-function, which gives access to the non-perturbative regime of any QFT from the first few known coefficients in the perturbative expansion. Using…

高能物理 - 理论 · 物理学 2019-03-27 Oleg Antipin , Alessio Maiezza , Juan Carlos Vasquez

We review the current status of small x resummation of evolution of parton distributions and of deep-inelastic coefficient functions. We show that the resummed perturbative expansion is stable, robust upon different treatments of subleading…

高能物理 - 唯象学 · 物理学 2015-05-13 Stefano Forte , Guido Altarelli , Richard D. Ball

We present the first global analysis of fragmentation functions (FFs) for light charged hadrons ($\pi^{\pm}$, $K^{\pm}$) at full next-to-next-to-leading order in Quantum Chromodynamics (QCD), incorporating world data from both…

高能物理 - 唯象学 · 物理学 2025-07-28 Jun Gao , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao , Bin Zhou

We discuss the role of flavour physics in building effective theories at the TeV scale. Particular attention is devoted to the Minimal Flavour Violation hypothesis, both in the quark and in the lepton sector. Alternative flavour-protection…

高能物理 - 唯象学 · 物理学 2009-08-05 Gino Isidori

We develop a scaling theory and a renormalization technique in the context of the modern theory of polarization. The central idea is to use the characteristic function (also known as the polarization amplitude) in place of the free energy…

无序系统与神经网络 · 物理学 2021-12-17 Balázs Hetényi , Selçuk Parlak , Mohammad Yahyavi

The paper contains successive description of the strong-coupling perturbation theory. Formal realization of the idea is based on observation that the path-integrals measure for absorption part of amplitudes $\R$ is Diracian ($\d$-like). New…

高能物理 - 理论 · 物理学 2007-05-23 J. Manjavidze , A. Sissakian

An observed $K$-dimensional series $\left\{ y_{n}\right\} _{n=1}^{N}$ is expressed in terms of a lower $p$-dimensional latent series called factors $f_{n}$ and random noise $\varepsilon_{n}$. The equation, $y_{n}=Qf_{n}+\varepsilon_{n}$ is…

统计计算 · 统计学 2018-11-29 Immanuel Manohar

We consider two variables that are related to each other by an invertible function. While it has previously been shown that the dependence structure of the noise can provide hints to determine which of the two variables is the cause, we…

Since fields in the heavy quark effective theory are described by both a velocity and a residual momentum, there is redundancy in the theory: small shifts in velocity may be absorbed into a redefinition of the residual momentum. We…

高能物理 - 唯象学 · 物理学 2010-11-01 Michael Luke , Aneesh V. Manohar

Lecture notes on covariant linear perturbation theory and its applications to inflation, dark energy or matter and the cosmic microwave background.

天体物理学 · 物理学 2007-05-23 Wayne Hu

Invariants of generalized tensor fields on a line are classified using special polynomials P_mk^(-1/lambda) introduced here for this purpose. For the case of positive characteristic, a new invariant of formal power series, a width, is…

表示论 · 数学 2007-05-23 Aleksandrs Mihailovs

This author's recent proposal of interferometric tests of Planck-scale-related properties of space-time is here revisited from a strictly phenomenological viewpoint. The results announced previously are rederived using elementary…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Giovanni Amelino-Camelia

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

统计方法学 · 统计学 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

Distributions over rankings are used to model data in various settings such as preference analysis and political elections. The factorial size of the space of rankings, however, typically forces one to make structural assumptions, such as…

机器学习 · 计算机科学 2012-02-20 Jonathan Huang , Ashish Kapoor , Carlos E. Guestrin

A novel approach to parton distributions parameterization in terms of quantum statistical functions is here outlined. The description, already proposed in previous publications, is here improved by adding to the statistical distributions an…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Miele

Transport calculations represent the major tool to simulate the modifications induced by the presence of a hot-deconfined medium on the production of heavy-flavour particles in high-energy nuclear collisions. After a brief description of…

高能物理 - 唯象学 · 物理学 2021-02-03 Andrea Beraudo

We provide a general treatment of perturbations of a class of functionals modeled on convolution energies with integrable kernel which approximate the $p$-th norm of the gradient as the kernel is scaled by letting a small parameter…

偏微分方程分析 · 数学 2020-07-09 Roberto Alicandro , Nadia Ansini , Andrea Braides , Andrey Piatnitski , Antonio Tribuzio
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