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In the application of on-shell recursion relation to string amplitudes, one challenge is the sum over infinite intermediate on-shell string states. In this note, we show how to sum these infinite states explicitly by including unphysical…

High Energy Physics - Theory · Physics 2015-06-11 Yung-Yeh Chang , Bo Feng , Chih-Hao Fu , Jen-Chi Lee , Yihong Wang , Yi Yang

We identify an extended Poincare symmetry $ISO(2) \times ISO(3,1)$ for on-shell massive scattering amplitudes, transforming under the $U(2)$ Little group symmetry. Thus the one-particle state involves in both spin and transversality $t$…

High Energy Physics - Phenomenology · Physics 2024-12-20 Yu-Han Ni , Yi-Ning Wang , Chao Wu , Jiang-Hao Yu

It is well-known that on-shell maximally helicity-violating gluon scattering amplitudes in maximally supersymmetric Yang-Mills theory are dual to a bosonic Wilson loop on a null-polygonal contour. The light-like nature of the intervals is a…

High Energy Physics - Theory · Physics 2022-08-02 A. V. Belitsky , V. A. Smirnov

The forward Compton scattering off the proton is determined by substituting the empirical total photoabsorption cross sections into dispersive sum rules. In addition to the spin-independent amplitude evaluated previously [Phys. Rev. D 92,…

Nuclear Theory · Physics 2016-09-07 Oleksii Gryniuk , Franziska Hagelstein , Vladimir Pascalutsa

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

We find a model-independent upper bound on the strong coupling scale for a massive spin-2 particle coupled to Einstein gravity. Our approach is to directly construct tree-level scattering amplitudes for these degrees of freedom and use them…

High Energy Physics - Theory · Physics 2018-10-17 James Bonifacio , Kurt Hinterbichler

In this letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher-spin theory in AdS$_{d+1}$. For this purpose we also determine the OPE coefficients of all single-trace conserved currents…

High Energy Physics - Theory · Physics 2016-05-11 Charlotte Sleight , Massimo Taronna

We demonstrate that the use of on-shell methods involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles can be used to evaluate loop contributions to the…

High Energy Physics - Phenomenology · Physics 2016-11-10 Barry R. Holstein

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

In view of a recently renewed interest to production of multiple Higgs bosons the amplitude for such process at the threshold of $n$ particles is considered. An explicit calculation is done for the loop corrections to the amplitude arising…

High Energy Physics - Phenomenology · Physics 2017-06-28 M. B. Voloshin

We prove that all open string theory disc amplitudes in a flat background obey Britto-Cachazo-Feng-Witten (BCFW) on-shell recursion relations, up to a possible reality condition on a kinematic invariant. Arguments that the same holds for…

High Energy Physics - Theory · Physics 2010-12-01 Rutger H. Boels , Daniele Marmiroli , Niels A. Obers

We study the electromagnetic on-shell form factor of quarks in massless perturbative QCD. We derive the complete pole part in dimensional regularization at three loops, and extend the resummation of the form factor to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Moch , J. A. M. Vermaseren , A. Vogt

The spin effects at high energies and momenta transferred $|t|>1 GeV^2$ are analysed for quark-photon scattering. The energy independence of the ratio of spin-flip and spin-non-flip amplitudes in the same $\alpha_s$ order of QCD is…

High Energy Physics - Phenomenology · Physics 2011-08-17 S. V. Goloskokov , O. A. Listopadov

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are…

High Energy Physics - Lattice · Physics 2021-02-24 J. Lozano , A. Agadjanov , J. Gegelia , U. -G. Meißner , A. Rusetsky

We determine the spectrum of graviton excitations in the background geometry of the AdS soliton in p+2 dimensions. Via the AdS/CFT correspondence this corresponds to determining the spectrum of spin two excitations in the dual effective…

High Energy Physics - Theory · Physics 2009-10-31 Neil R. Constable , Robert C. Myers

We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables describing massive particles with spin, which together with…

High Energy Physics - Theory · Physics 2021-12-21 Daniel J Burger , William T. Emond , Nathan Moynihan

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

Four-dimensional state space geometry is worked out for the exactly solved one-dimensional spin-3/2 lattice with a Blume-Emery-Griffiths (BEG) Hamiltonian as well as a more general one with a term containing a non-zero field coupling to the…

Statistical Mechanics · Physics 2023-06-13 Riekshika Sanwari , Soumen Khatua , Anurag Sahay

We calculate the complete one-loop off-shell three-point scalar-photon vertex in arbitrary gauge and dimension for Scalar Quantum Electrodynamics. Explicit results are presented for the particular cases of dimensions 3 and 4 both for…

High Energy Physics - Theory · Physics 2008-11-26 A. Bashir , Y. Concha-Sanchez , R. Delbourgo

Electromagnetic properties of off-shell particles are discussed on the basis of a purely electromagnetic reaction: virtual Compton scattering off a proton. It is shown that the definition of off-shell electromagnetic form factors is not…

Nuclear Theory · Physics 2007-05-23 S. I. Nagorny , A. E. L. Dieperink
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