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We discover an infinite number of recurrence relations among Regge string scattering amplitudes \cite{bosonic,RRsusy} of different string states at arbitrary mass levels in the open bosonic string theory. As a result, all Regge string…

高能物理 - 理论 · 物理学 2015-06-12 Jen-Chi Lee , Yoshihiro Mitsuka

We extend the argument presented by Benincasa, Boucher-Veronneau, and Cachazo to show that graviton tree amplitudes are well behaved under large complex deformations of the momenta of a pair of like-helicity gravitons. This shows that BCFW…

高能物理 - 理论 · 物理学 2008-11-26 Anthony Hall

Motivated by Dohmen-P\"onitz-Tittmann's bivariate chromatic polynomial $\chi_G(x,y)$, which counts all $x$-colorings of a graph $G$ such that adjacent vertices get different colors if they are $\le y$, we introduce a bivarate version of…

组合数学 · 数学 2021-12-21 Matthias Beck , Maryam Farahmand , Gina Karunaratne , Sandra Zuniga Ruiz

Using twistor space intuition, Cachazo, Svrcek and Witten presented novel diagrammatic rules for gauge-theory amplitudes, expressed in terms of maximally helicity-violating (MHV) vertices. We define non-MHV vertices, and show how to use…

高能物理 - 理论 · 物理学 2009-11-10 I. Bena , Z. Bern , D. A. Kosower

We present a novel framework for computing differential cross-sections in quantum field theory using the optical theorem and loop amplitudes, circumventing the traditional method of squaring scattering amplitudes. This approach addresses…

高能物理 - 唯象学 · 物理学 2024-12-16 Vatsal Garg , Hojin Lee , Kanghoon Lee

The boundary contribution of an amplitude in the BCFW recursion relation can be considered as a form factor involving boundary operator and unshifted particles. At the tree-level, we show that by suitable construction of Lagrangian, one can…

高能物理 - 理论 · 物理学 2016-06-29 Rijun Huang , Qingjun Jin , Bo Feng

We study in detail the general structure and further properties of the tree-level amplitudes in the SU(N) nonlinear sigma model. We construct the flavor-ordered Feynman rules for various parameterizations of the SU(N) fields U(x), write…

高能物理 - 理论 · 物理学 2015-06-15 Karol Kampf , Jiri Novotny , Jaroslav Trnka

The QCD-string model for baryons derived by Simonov and used for the calculation of baryon magnetic moments in a previous paper is extended to include also perturbative gluon and meson exchanges. The mass spectrum of the baryon multiplet is…

高能物理 - 唯象学 · 物理学 2014-11-17 J. Weda , J. A. Tjon

The problem of finding general quartic interaction terms between fields of higher helicities on the light-front is discussed from the point of view of calculating the corresponding amplitudes directly from the cubic vertices using BCFW…

高能物理 - 理论 · 物理学 2016-11-23 Anders K. H. Bengtsson

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic…

高能物理 - 理论 · 物理学 2010-11-23 A. Fotopoulos , M. Tsulaia

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

高能物理 - 理论 · 物理学 2025-03-21 Joris Raeymaekers

We develop a recursive computational procedure to efficiently calculate the macroscopic dielectric function of multi-component metamaterials of arbitrary geometry and composition within the long wavelength approximation. Although the…

光学 · 物理学 2020-06-04 W. Luis Mochán , Raksha Singla , Lucila Juárez , Guillermo P. Ortiz

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

高能物理 - 唯象学 · 物理学 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

We use categorical skew Howe duality to find recursion rules that compute categorified sl(N) invariants of rational tangles colored by exterior powers of the standard representation. Further, we offer a geometric interpretation of these…

几何拓扑 · 数学 2019-03-20 Paul Wedrich

We present first results of resumming soft gluon effects in a simulation of high energy collisions beyond the leading-colour approximation. We work to all orders in QCD perturbation theory using a new parton branching algorithm. This…

高能物理 - 唯象学 · 物理学 2021-03-24 Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer

A special class of braids, called woven, is introduced and it is shown that every conjugation class of the braid group contains woven braids. In consequence, links can be presented as plats or closures of woven braids. Restricting on knots,…

q-alg · 数学 2008-02-03 Jan A. Kneissler

Twistor ideas have led to a number of recent advances in our understanding of scattering amplitudes. Much of this work has been indirect, determining the twistor space support of scattering amplitudes by examining the amplitudes in momentum…

高能物理 - 理论 · 物理学 2014-11-18 Lionel Mason , David Skinner

Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes…

高能物理 - 理论 · 物理学 2008-11-26 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini

Multiple Parton Interactions are the tool to obtain information on the correlations between partons in the hadron structure. Partons may be correlated in all degrees of freedom and all different correlation terms contribute to the cross…

高能物理 - 唯象学 · 物理学 2015-03-17 Giorgio Calucci , Daniele Treleani

Fourth-order many-body corrections to matrix elements for atoms with one valence electron are derived. The obtained diagrams are classified using coupled-cluster-inspired separation into contributions from n-particle excitations from the…

原子物理 · 物理学 2009-11-07 Andrei Derevianko , Erik D. Emmons