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We develop a factorization framework to compute the double differential cross section in soft drop groomed jet mass and groomed jet radius. We describe the effective theories in the large, intermediate, and small groomed jet radius regions…

高能物理 - 唯象学 · 物理学 2021-04-21 Aditya Pathak , Iain W. Stewart , Varun Vaidya , Lorenzo Zoppi

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

The goal of this paper is to develop a numerical algorithm that solves a two-dimensional elliptic partial differential equation in a polygonal domain using tensor methods and ideas from isogeometric analysis. The proposed algorithm is based…

数值分析 · 数学 2018-02-09 L. Markeeva , I. Tsybulin , I. Oseledets

We study electron-positron annihilations into six jets at the parton level in perturbative Quantum Chromo-Dynamics. We use helicity amplitude methods. Results are presented for the case of the Durham and Cambridge jet clustering algorithms…

高能物理 - 唯象学 · 物理学 2009-10-30 Stefano Moretti

We present analytic formulas that describe fully-differential production of color-singlet final states in $q\bar q$ and $gg$ annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested…

高能物理 - 唯象学 · 物理学 2019-05-22 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We compute production rates for two, three, four and five jets in electron-positron annihilation at the third order in the QCD coupling constant. At this order, three-jet production is described to next-to-next-to-leading order (NNLO) in…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Catani , M. Grazzini

The Modified Leading Log Approximation of QCD and the local parton hadron duality picture are shown to give a fully satisfactory description of data on charged particle energy spectra in $e^+e^-$ annihilation. The analysis of data in terms…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Lupia

We present a new next-to-leading order calculation for fully differential single-top-quark final states. The calculation is performed using phase space slicing and dipole subtraction methods. The results of the methods are found to be in…

高能物理 - 唯象学 · 物理学 2008-11-26 B. W. Harris , E. Laenen , L. Phaf , Z. Sullivan , S. Weinzierl

We use QCD sum rules to determine directly the leading-twist non-singlet operator matrix elements based on calculations of three-point correlator functions in configuration space. We find a different result from that obtained by integrating…

高能物理 - 唯象学 · 物理学 2009-10-30 N. Chamoun

The QCD$\times$QED factorization is studied for two-body non-leptonic and semi-leptonic $B$ decays with heavy-light final states. These non-leptonic decays, like $\bar{B}^0_{(s)}\to D^+_{(s)} \pi^-$ and $\bar{B}_d^0 \to D^+ K^-$, are among…

高能物理 - 唯象学 · 物理学 2021-11-17 Martin Beneke , Philipp Böer , Gael Finauri , K. Keri Vos

Jets constructed via clustering algorithms (e.g., anti-$k_T$, soft-drop) have been proposed for many precision measurements, such as the strong coupling $\alpha_s$ and the nucleon intrinsic dynamics. However, the theoretical accuracy is…

高能物理 - 唯象学 · 物理学 2022-11-15 Hao-yu Liu , Xiaohui Liu , Sven-Olaf Moch

We find that unitarity cuts and the duality between color and kinematics are sufficient constraints to bootstrap $D$-dimensional QCD scattering amplitudes starting from three-particle tree-level. Specifically, we calculate tree level…

高能物理 - 理论 · 物理学 2024-09-25 John Joseph M. Carrasco , Aslan Seifi

The singularities associated with QCD factorization in the collinear limit are key ingredients for high-precision theoretical predictions in particle physics. They govern the collinear behaviour of scattering amplitudes, as well as the…

高能物理 - 唯象学 · 物理学 2023-10-31 Prasanna K. Dhani , Germán Rodrigo , German F. R. Sborlini

We present the first comprehensive analysis of the unitarity thresholds and anomalous thresholds of scattering amplitudes at two loops and beyond based on the loop-tree duality, and show how non-causal unphysical thresholds are locally…

The accurate calculation of weak heavy-to-light form factors is crucial for the determination of CKM matrix elements from experimental data on B decays. In SCET, the soft-collinear effective theory, these form factors can, in the heavy…

高能物理 - 唯象学 · 物理学 2007-05-23 Patricia Ball

We consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two…

高能物理 - 唯象学 · 物理学 2020-08-26 Wojciech Bizon , Maximilian Delto

The production of four jets in electron-positron annihilation allows for measuring the strong coupling and the underlying group structure of the strong interaction simultaneously. This requires next-to-leading order perturbative prediction…

高能物理 - 唯象学 · 物理学 2014-11-17 Zoltán Nagy , Zoltán Trócsányi

In this paper, a symmetrized two-scale finite element method is proposed for a class of partial differential equations with symmetric solutions. With this method, the finite element approximation on a fine tensor product grid is reduced to…

数值分析 · 数学 2022-06-01 Pengyu Hou , Fang Liu , Aihui Zhou

We present the Master Integrals needed for the calculation of the two-loop QCD corrections to the forward-backward asymmetry of a quark-antiquark pair produced in electron-positron annihilation events. The abelian diagrams entering in the…

高能物理 - 唯象学 · 物理学 2009-11-10 R. Bonciani , P. Mastrolia , E. Remiddi