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We give a comprehensive review of recent developments on using the pure spinor formalism to compute massless superstring scattering amplitudes at tree level. The main results of the pure spinor computations are placed into the context of…

High Energy Physics - Theory · Physics 2023-05-24 Carlos R. Mafra , Oliver Schlotterer

We study all tree-level split helicity gluon amplitudes by using the recently proposed BCFW recursion relation and Hodges diagrams in ambitwistor space. We pick out the contributing diagrams and find that all of them can be divided into…

High Energy Physics - Theory · Physics 2010-01-07 Bin Chen , Jun-Bao Wu

A new method of calculation of amplitudes of different processes in quantum electrodynamics is proposed. The method does not use the Feynman technique of trace of product of matrices calculation. The method strongly simplifies calculation…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kostyantyn Karplyuk , Oleksandr Zhmudsky

Single-propagator traces are the most elementary fermion Wick contractions which occur in numerical lattice QCD, and are usually computed by introducing random-noise estimators to profit from volume averaging. The additional contribution to…

High Energy Physics - Lattice · Physics 2019-09-04 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

In this paper, we propose two low-complexity peak to average power ratio(PAPR) reduction algorithms for orthogonal frequency division multiplexing(OFDM) signals. The main content is as follows: First, a non-convex optimization model is…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Hao Su , Jiangtao Wang , Yongchao Wang

The advantages of using Multi-Step corrections for simulations of lattice gauge theories with dynamical fermions will be discussed. This technique is suited for algorithms based on the Multi-Boson representation of the dynamical fermions as…

High Energy Physics - Lattice · Physics 2008-11-26 Enno E. Scholz , Istvan Montvay

We have studied $O(a^2)$ improved lattice QCD with the staggered fermion by using Symanzik's program. We find that there are 5 dimension-6 fermion bilinears and gauge operators. In addition, there are 10 four-fermion operators which are…

High Energy Physics - Lattice · Physics 2009-10-30 Yubing Luo

This paper proposes a novel scheme for cell-free massive multiple-input multiple-output (CFmMIMO) networks to support any federated learning (FL) framework. This scheme allows each instead of all the iterations of the FL framework to happen…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Tung T. Vu , Duy T. Ngo , Nguyen H. Tran , Hien Quoc Ngo , Minh N. Dao , Richard H. Middleton

Tree amplitudes of the production of two kinds of scalar particles at threshold from one virtual particle are calculated in a model of two scalar fields with $O(2)$ symmetric quartic interaction and unequal masses. These amplitudes exhibit…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Libanov , V. A. Rubakov , S. V. Troitsky

Dealing with nonlinear effects of the radio-frequency(RF) chain is a key issue in the realization of very large-scale multi-antenna (MIMO) systems. Achieving the remarkable gains possible with massive MIMO requires that the signal…

Information Theory · Computer Science 2021-06-29 Amine Mezghani , Daniel Plabst , Lee A. Swindlehurst , Inbar Fijalkow , Josef A. Nossek

A new multifermion formulation of lattice QCD is proposed. The model is free of spectrum doubling and preserves all nonanomalous chiral symmetries up to exponentially small corrections. It is argued that a small number of fermion fields may…

High Energy Physics - Lattice · Physics 2009-10-31 A. A. Slavnov

We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime…

High Energy Physics - Theory · Physics 2018-04-18 Josua Faller , Sourav Sarkar , Mritunjay Verma

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors…

High Energy Physics - Lattice · Physics 2020-01-27 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer

This paper proposes a multilevel sampling algorithm for fiber sampling problems in algebraic statistics, inspired by Henry Wynn's suggestion to adapt multilevel Monte Carlo (MLMC) ideas to discrete models. Focusing on log-linear models, we…

Computation · Statistics 2025-12-16 Nathan Kirk , Ivan Gvozdanović , Sonja Petrović

We further elaborate on the general construction proposed in arXiv:1812.03369, which connects, via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes that are given by Cachazo-He-Yuan formulas. The current…

High Energy Physics - Theory · Physics 2019-09-17 Song He , Fei Teng , Yong Zhang

The pattern of calculation of amplitudes of a series of processes in the field of an intensive laser wave, in which two fermions $(p; p')$ and two real photons $(k_1; k_2)$ participate, is considered. In relation to one-photon processes,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergey M. Sikach

A method is developed whereby spinor helicity techniques can be used to simplify the calculation of loop amplitudes. This is achieved by using the Feynman-parameter representation where the offending off-shell loop momenta do not appear.…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. S. Lam

In this article, we use Ward identity to calculate tree and one loop level off shell amplitudes in pure Yang-Mills theory with a pair of external lines complexified. We explicitly prove Ward identity at tree and one loop level using Feynman…

High Energy Physics - Theory · Physics 2015-03-20 Yun Zhang , Gang Chen

We describe an adaptive multigrid algorithm for solving inverses of the domain-wall fermion operator. Our multigrid algorithm uses an adaptive projection of near-null vectors of the domain-wall operator onto coarser four-dimensional…

High Energy Physics - Lattice · Physics 2012-05-15 Saul D. Cohen , R. C. Brower , M. A. Clark , J. C. Osborn