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We compute the three-loop scattering amplitude of four gravitons in ${\mathcal N}=8$ supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients…

High Energy Physics - Theory · Physics 2019-05-22 Johannes M. Henn , Bernhard Mistlberger

I review recent progress in calculating scattering amplitudes and resonance properties involving three particles using results from lattice QCD. The necessary input is the finite-volume spectrum, and the outputs -- via solutions of integral…

High Energy Physics - Lattice · Physics 2026-01-14 Stephen R. Sharpe

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

We consider scattering amplitudes in non-critical string theory of $N$ external states in the limit where the energy of all external states is large compared to the string tension. We argue that the amplitudes are naturally complex analytic…

High Energy Physics - Theory · Physics 2009-10-30 Kenichiro Aoki , Eric D'Hoker

In this review we describe a non-trivial relationship between perturbative gauge theory and gravity scattering amplitudes. At the semi-classical or tree level, the scattering amplitudes of gravity theories in flat space can be expressed as…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Zvi Bern

This is a classical paper by Vladimir Gribov (1930-97) which has influenced the understanding of high energy hadron collisions and deep inelastic scattering for several decades, and is still important today. Gribov's main assumption - that…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. N. Gribov

The high-energy quark-quark scattering amplitude is calculated first in the case of scalar QCD, using Fradkin's approach to derive the scalar quark propagator in an external gluon field and computing it in the eikonal approximation. The…

High Energy Physics - Theory · Physics 2007-05-23 Enrico Meggiolaro

In the perturbative QCD with $N_c\to\infty$ equations for the amplitude of the nucleus-nucleus scattering are derived by the effective field method. The asymptotic form of the solution is discussed. It is argued that in the high-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. A. Braun

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , Mark Srednicki

We study the Regge limit of string amplitudes within the model of Polchinski-Strassler for string scattering in warped spacetimes. We also present some numerical estimations of the Regge slopes. It is quite remarkable that the real values…

High Energy Physics - Theory · Physics 2009-11-10 Oleg Andreev

We evaluate one-loop finite-time amplitudes for graviton scattering in Matrix theory and compare to the corresponding amplitudes in supergravity. We find agreement for arbitrary time intervals at leading order in distance, providing a…

High Energy Physics - Theory · Physics 2009-10-30 Oyvind Tafjord , Vipul Periwal

An energy-dependent and a set of single-energy partial-wave analyses of $\pi$d elastic scattering data have been completed. Amplitudes are presented for pion laboratory kinetic energies up to 500~MeV. These results are compared with those…

Nuclear Theory · Physics 2009-09-25 Richard A. Arndt Igor I. Strakovsky , Ron Workman

In these proceedings, I shall review the basic concepts of perturbative QCD in its high-energy limit, emphasising the approach to the unitarity limit, usually referred to as {\em saturation}. I shall explain the basic framework showing the…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Soyez

Some of the last results on low energy antiproton physics are reviewed. First Faddeev calculations for \={n}d scattering length are presented.

Nuclear Theory · Physics 2009-11-07 J. Carbonell , M. Mangin-Brinet

We calculate high-energy massive string scattering amplitudes of compactified open string. We derive infinite linear relations, or stringy symmetries, among soft high-energy string scattering amplitudes of different string states in the…

High Energy Physics - Theory · Physics 2010-12-15 Jen-Chi Lee , Tomohisa Takimi , Yi Yang

Supergravity theories with non-minimal K\"ahler potentials are characterized by a non-trivial field space manifold with corresponding non-trivial kinetic terms. The scattering amplitudes in these theories can be calculated at fixed…

High Energy Physics - Theory · Physics 2023-02-14 Emilian Dudas , Tony Gherghetta , Keith A. Olive , Sarunas Verner

We comment on some implications of theories with large compactification radii and TeV-scale quantum gravity. These include the behavior of high-energy gravitational scattering cross sections and consequences for ultra-high-energy cosmic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shmuel Nussinov , Robert Shrock

The continuation of high energy QCD Lipatov's effective action to Euclidean space is performed. The resulting Euclidean QCD RFT action is considered separately in Euclidean "light-cone" coordinates and axial gauge suitable for the numerical…

High Energy Physics - Theory · Physics 2020-05-20 S. Bondarenko

We give a pedagogical review to alternative, first quantised approaches to calculating graviton scattering amplitudes, giving an introduction to string inspired approaches and presenting more recent work based on the worldline formalism of…

High Energy Physics - Theory · Physics 2022-01-06 James P. Edwards

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev