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Color-ordered tree level scattering amplitudes in Yang-Mills theories can be written as a sum over terms which display the various propagator poles of Feynman diagrams. The numerators in these expressions which are obtained by…

High Energy Physics - Theory · Physics 2015-06-22 Diana Vaman , York-Peng Yao

A new fully non-linear reconstruction algorithm for the accurate recovery of the Baryonic Acoustic Oscillations (BAO) scale in two-point correlation functions is proposed, based on the least-action principle and extending the Fast Action…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-30 E. Sarpa , C. Schimd , E. Branchini , S. Matarrese

We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the external particles in spinor space and…

High Energy Physics - Phenomenology · Physics 2010-10-27 Christian Schwinn , Stefan Weinzierl

We point out that the one-particle-irreducible vacuum correlation functions of a QFT are the structure constants of an $L_\infty$-algebra, whose Jacobi identities hold whenever there are no local gauge anomalies. The LSZ prescription for…

High Energy Physics - Theory · Physics 2019-06-11 Alex S. Arvanitakis

We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In…

High Energy Physics - Theory · Physics 2016-05-18 M. Maniatis

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…

High Energy Physics - Theory · Physics 2014-11-18 Lionel Mason , David Skinner

We derive an off-shell recursion relation for correlators that holds at all loop orders. This allows us to prove how generalized amplitudes transform under generic field redefinitions, starting from an assumed behavior of the…

High Energy Physics - Theory · Physics 2023-12-13 Timothy Cohen , Xiaochuan Lu , Dave Sutherland

String theory gives S matrix elements om which is not possible to read any gauge information. Using factorization we go off shell in the simplest and most naive way and we read which are the vertices suggested by string. To compare with the…

High Energy Physics - Theory · Physics 2017-04-05 Igor Pesando

Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of…

High Energy Physics - Theory · Physics 2025-12-09 Liang Zhang

We construct tree-level amplitude for massive particles using on-shell recursion relations based on two classes of momentum shifts: an all-line transverse shift that deforms momentum by its transverse polarization vector, and a massive…

High Energy Physics - Phenomenology · Physics 2024-11-14 Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Kun-Feng Lyu , Ishmam Mahbub

We evaluate all split helicity gluon tree amplitudes in open twistor string theory. We show that these amplitudes satisfy the BCFW recurrence relations restricted to the split helicity case and, hence, that these amplitudes agree with those…

High Energy Physics - Theory · Physics 2012-09-10 Louise Dolan , Peter Goddard

In the first part of this paper, we calculate the disk-level S-matrix elements of one RR, one NSNS and one NS vertex operators, and show that they are consistent with the amplitudes that have been recently found by applying various Ward…

High Energy Physics - Theory · Physics 2016-10-12 Ali Jalali , Mohammad R. Garousi

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…

High Energy Physics - Theory · Physics 2008-11-26 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini

We study the All-Line Transverse (ALT) shift which we developed for on-shell recursion of amplitudes for particles of any mass. We discuss the validity of the shift for general theories of spin $\leq$ 1, and illustrate the connection…

High Energy Physics - Phenomenology · Physics 2024-11-14 Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Kun-Feng Lyu , Ishmam Mahbub

We study the predictions for the matter redshift-space power spectrum and correlation function of a Lagrangian-space Gaussian ansatz introduced in a previous work. This model is a natural extension of the Zeldovich approximation, where the…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-09 Patrick Valageas , Takahiro Nishimichi

The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative…

High Energy Physics - Theory · Physics 2023-05-03 Eric Lescano , Nahuel Mirón-Granese

We study the application of non-trivial relations between gravity tree amplitudes, the bonus relations, to all tree-level amplitudes in N=8 supergravity. We show that the relations can be used to simplify explicit formulae of supergravity…

High Energy Physics - Theory · Physics 2011-02-16 Song He , Dhritiman Nandan , Congkao Wen

We have established a new convergent scheme to treat analytically nucleon-nucleon interactions from a chiral effective field theory. The Kaplan-Savage-Wise (KSW) amplitudes are resummed to fulfill the unitarity or right hand cut to all…

Nuclear Theory · Physics 2009-11-07 Jose A. Oller

We calculate the branching ratio for B -> J/psi + anything, within the color-singlet approximation for J/psi production, but including perturbative QCD corrections beyond the leading logarithm approximation. Such higher order corrections…

High Energy Physics - Phenomenology · Physics 2009-10-30 Joao M. Soares , Tibor Torma

We initiate the study of positive geometry and scattering forms for tree-level amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group. As a toy example, we study the bi-color scalar theory, which…

High Energy Physics - Theory · Physics 2020-06-08 Aidan Herderschee , Song He , Fei Teng , Yong Zhang
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