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We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed…

High Energy Physics - Phenomenology · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We present an overview of recent developments, based on on-shell techniques, in the calculation of multi-parton scattering amplitudes at one loop that are relevant for phenomenological studies at hadron colliders. These new on-shell methods…

High Energy Physics - Phenomenology · Physics 2015-05-14 Carola F. Berger , Darren Forde

We study the Regge and hard scattering limits of the one-loop amplitude for massless open string states in the type I theory. For hard scattering we find the exact coefficient multiplying the known exponential falloff in terms of the…

High Energy Physics - Theory · Physics 2014-04-23 Francisco Rojas

I consider two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how they can be solved in the mean-field approximation, justified by…

High Energy Physics - Theory · Physics 2011-04-21 Yuri Makeenko

Hard hadronic exclusive processes are now at the forefront of QCD studies, particularly because of their role in the interpretation of exclusive hadronic B decays. Perturbative QCD and its factorization properties at high momentum transfer…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

We study string scattering amplitudes by using the deformed cubic string field theory which is equivalent to the string field theory in the proper-time gauge. The four-string scattering amplitudes with three tachyons and an arbitrary string…

High Energy Physics - Theory · Physics 2018-02-02 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang , Taejin Lee

We consider the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at one loop (i.e. genus one) in a four-dimensional fermionic heterotic string model. Starting from the bosonization of the world-sheet…

High Energy Physics - Theory · Physics 2009-10-30 A. Pasquinucci , M. Petrini

Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic…

High Energy Physics - Theory · Physics 2024-03-19 Nima Arkani-Hamed , Clifford Cheung , Carolina Figueiredo , Grant N. Remmen

The recently introduced anomaly-free twistor string in 4 dimensions is further explored. The spectrum based on the physical states and its Minkowski interpretation are examined. Scattering amplitudes with vertex operators involving…

High Energy Physics - Theory · Physics 2021-04-14 Christian Kunz

We present the perturbative and non-perturbative QCD structure of the dipole-dipole scattering amplitude in momentum space. The perturbative contribution is described by two-gluon exchange and the non-perturbative contribution by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Shoshi , F. D. Steffen , H. G. Dosch , H. J. Pirner

Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity,…

Statistical Mechanics · Physics 2019-05-29 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in the one-dimensional lattice with variable diffusion coefficient. The scaling limits are obtained from a similar…

Statistical Mechanics · Physics 2009-04-24 Milton Jara , Patricia Goncalves

This study presents new insights into gluon transverse momentum distributions through nonextensive statistical mechanics, addressing their implications for QCD phenomenology. The saturation physics and scaling laws present in high energy…

High Energy Physics - Phenomenology · Physics 2025-01-10 Lucas Soster Moriggi , Magno Valerio Trindade Machado

We review some of the modern approaches to scattering amplitude computations in QCD and their application to precision LHC phenomenology. We emphasise the usefulness of momentum twistor variables in parameterising general amplitudes.

High Energy Physics - Phenomenology · Physics 2016-12-21 Simon Badger

The improved calculation method of quark distributions in hadrons in the framework of QCD sum rules is presented. The imaginary part of the virtual photon scattering amplitude on some hadronic current is considered in the case, when initial…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Moeller , Peter West

A prescription is presented to construct manifestly gauge invariant tree-level scattering amplitudes with one or two off-shell initial-state gluons for processes with arbitrary particles in the final state, which allows for calculations…

High Energy Physics - Phenomenology · Physics 2013-07-09 A. van Hameren

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

High Energy Physics - Theory · Physics 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

We review techniques simplifying the analytic calculation of one-loop QCD amplitudes with many external legs, for use in next-to-leading-order corrections to multi-jet processes. We explain how a supersymmetry-inspired organization works…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Dixon

We use three different methods to calculate the proportionality constants among high-energy scattering amplitudes of different string states with polarizations on the scattering plane. These are the decoupling of high-energy zero-norm…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang