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In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Actis , G. Passarino

The four-loop QCD corrections to the electroweak $\rho$-parameter arising from top and bottom quark loops are computed. Specifically we evaluate the missing ``non-singlet'' piece. Using algebraic methods the amplitude is reduced to a set of…

高能物理 - 唯象学 · 物理学 2008-11-26 K. G. Chetyrkin , M. Faisst , J. H. Kühn , P. Maierhoefer , C. Sturm

We present efficient implementations of a number of operations for quantum computers. These include controlled phase adjustments of the amplitudes in a superposition, permutations, approximations of transformations and generalizations of…

量子物理 · 物理学 2014-11-18 Tad Hogg , Carlos Mochon , Wolfgang Polak , Eleanor Rieffel

The algorithm of modified wavelet analysis is discussed. It is based on the weighted least squares approximation. Contrary to the Gaussian as a weight function, we propose to use a compact weight function. The accuracy estimates using the…

天体物理仪器与方法 · 物理学 2020-05-05 Ivan L. Andronov , Violetta P. Kulynska

Resummation techniques are essential for high-precision phenomenology at current and future high-energy collider experiments. Perturbative computations of cross sections often suffer from large logarithmic corrections, which must be…

There has been remarkable progress over the past decade in establishing finite-sample, non-asymptotic bounds on recovering unknown system parameters from observed system behavior. Surprisingly, however, we show that the current…

机器学习 · 统计学 2026-04-24 Yichen Zhou , Stephen Tu

We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of $\gamma_5$ in $D=4-2\epsilon$ space-time dimensions is required;…

高能物理 - 唯象学 · 物理学 2020-02-26 Joshua Davies , Florian Herren , Colin Poole , Matthias Steinhauser , Anders Eller Thomsen

Computations of chemical systems' equilibrium properties and non-equilibrium dynamics have been suspected of being a "killer app" for quantum computers. This review highlights the recent advancements of quantum algorithms tackling complex…

As quantum technology advances, the efficient design of quantum circuits has become an important area of research. This paper provides an introduction to the MCT quantum circuit design problem for reversible Boolean functions with the…

最优化与控制 · 数学 2025-07-10 Jihye Jung , Kevin Dalmeijer , Pascal Van Hentenryck

Unimodular sequences with low autocorrelations are desired in many applications, especially in the area of radar and code-division multiple access (CDMA). In this paper, we propose a new algorithm to design unimodular sequences with low…

最优化与控制 · 数学 2023-07-19 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Quantum phase transitions (QPTs) in the spin-boson model with/without the rotating-wave approximation (RWA) are systematically investigated through variational calculations using a sub-Ohmic bath with high spectral density. Four cases…

量子物理 · 物理学 2026-03-17 Nengji Zhou , Yulong Shen , Zhe Sun

Even with the most advanced computational capabilities, high-fidelity (e.g., large-eddy) simulations of large-scale rocket engines remain far out of reach. In the current work, we develop and establish a component-based reduced-order…

流体动力学 · 物理学 2026-04-20 Brody Gatza , Cheng Huang

We present an algorithmic framework for a variant of the quantum Monte Carlo operator-loop algorithm, where non-local cluster updates are constructed in a way that makes each individual loop smaller. The algorithm is designed to increase…

统计力学 · 物理学 2016-09-08 Ying-Jer Kao , Roger G. Melko

A cluster algorithm is presented for the $Z_2$ Kalb-Ramond plaquette model in four dimensions which dramatically reduces critical slowing. The critical exponent $z$ is reduced from $ z>2$ (standard Metropolis algorithm) to $z= 0.32\pm0.06$.…

高能物理 - 格点 · 物理学 2009-10-28 P. K. Coyle , I. G. Halliday

We briefly summarize theoretical methods for carrying out QCD calculations to next-to-leading order in perturbation theory. In particular, we describe a new general algorithm that can be used for computing arbitrary jet cross sections in…

高能物理 - 唯象学 · 物理学 2007-05-23 Stefano Catani , Michael H. Seymour

In this paper a novel modification of the multilevel Monte Carlo approach, allowing for further significant complexity reduction, is proposed. The idea of the modification is to use the method of control variates to reduce variance at level…

计算金融 · 定量金融 2017-03-14 Denis Belomestny , Tigran Nagapetyan

We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among…

高能物理 - 格点 · 物理学 2018-04-18 Guido Cossu , Peter Boyle , Norman Christ , Chulwoo Jung , Andreas Jüttner , Francesco Sanfilippo

In optimal quantum control, control landscape phase transitions (CLPTs) indicate sharp changes occurring in the set of optimal protocols, as a physical model parameter is varied. Here, we demonstrate the existence of a new class of CLPTs,…

量子物理 · 物理学 2025-11-03 Nicolò Beato , Pranay Patil , Marin Bukov

Quantum Monte Carlo (QMC) techniques are widely used in a variety of scientific problems and much work has been dedicated to developing optimized algorithms that can accelerate QMC on standard processors (CPU). With the advent of various…

量子物理 · 物理学 2023-04-28 Shuvro Chowdhury , Kerem Y. Camsari , Supriyo Datta

Recent QCD Monte Carlo tuning studies done in the CMS Collaboration are presented. Jet kinematics, jet substructure, and underlying event measurements in top quark pair events are discussed. New CMS PYTHIA 8 event tunes are presented,…

高能物理 - 实验 · 物理学 2019-06-25 Efe Yazgan