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The interaction of the two beams in a collider leads to a variety of effects that may limit the performance of the machine. This lecture introduces the basic aspects necessary to understand the design of modern colliders.

Accelerator Physics · Physics 2025-10-17 Xavier Buffat

With seven operational colliders in the world and two under construction, the international particle physics community not only actively explores options for the next facilities for detailed studies of the Higgs/electroweak physics and…

Accelerator Physics · Physics 2022-09-12 M. Bai , V. Shiltsev , G. White , F. Zimmermann

Linear colliders (LC) on the energy 0.5-1 TeV are considered as the next step in the particle physics. High acceleration gradients, small beam sizes, precision tolerances, beam collision effects are main problems for linear colliders. In…

High Energy Physics - Experiment · Physics 2017-08-23 Valery Telnov

One of the most severe limitations in high-intensity particle colliders is the beam-beam interaction, i.e. the perturbation of the beams as they cross the opposing beams. This introduction to beam-beam effects concentrates on a description…

Accelerator Physics · Physics 2016-01-21 W. Herr , T. Pieloni

A photon collider luminosity and its energy are determined by the parameters of an electron-electron linear collider (energy, power, beam emittances) and collision effects. The main collision effect is the coherent e+e- pair creation. At…

Accelerator Physics · Physics 2011-07-19 Valery Telnov

Muon colliders might greatly extend the energy frontier of collider physics. One can contemplate circular colliders with center-of-mass energies in excess of 10 TeV. Some physics issues that might be relevant at such a machine are…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. S. Berger

Different limitations on luminosity of linac-ring type colliders coming from beam dynamics issues are considered for the examples of the $ep$ options of the THERA and LinacXLHC proposals. It is shown that $L=1.3\times 10^{31}$ for THERA and…

Accelerator Physics · Physics 2007-05-23 A. K. Ciftci , E. Recepoglu , S. Sultansoy

The Compact Linear Collider is one of the two main European options for a collider in a post Large Hadron Collider era. This is a linear $e^+e^-$ collider with three centre-of-mass energy stages: 380 GeV, 1.5 TeV and 3 TeV. The luminosity…

Accelerator Physics · Physics 2020-10-16 C. Gohil , P. N. Burrows , N. Blaskovic Kraljevic , A. Latina , J. Ögren , D. Schulte

High energy, high luminosity, future lepton colliders, circular or linear, may possibly give us hint about fundamental laws of Nature governing at very short distances and very short time intervals, the same which have brought our Universe…

High Energy Physics - Phenomenology · Physics 2020-02-19 Stanisław Jadach , Maciej Skrzypek

Physically speaking, the delta function like beam-beam nonlinear forces at interaction points (IPs) act as a sum of delta function nonlinear multipoles. By applying the general theory established in ref. 1, in this paper we investigate…

Accelerator Physics · Physics 2008-11-26 Jie Gao

Quantum Mechanics places limits on achievable transverse beam spot sizes of particle accelerators. We estimate this limit for a linear collider to be \Delta x > \hbar c f/E\delta_0 where f is the final focal length, E the beam energy, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher T. Hill

Particle accelerators for high energy physics will generate TeV-scale particle beams in large, multi-Km size machines colliding high brightness beams at the interaction point [1-4]. The high luminosity in such machines is achieved by…

In this paper we present alternative approach for Future Circular electron-positron Collider. Current 100 km circumference design with the top CM energy of 365 GeV (182.5 GeV beam energy) is based on two storage rings to circulate colliding…

Accelerator Physics · Physics 2020-03-25 Vladimir N Litvinenko , Thomas Roser , Maria Chamizo Llatas

Some of the potential capabilities and design challenges of muon colliders are illustrated using self-consistent collider parameter sets at center of mass energies ranging from 0.1 TeV to 100 TeV.

Accelerator Physics · Physics 2007-05-23 Bruce J. King

A formula for the collider luminosity is derived for a head-on collision of two beams with different parameters. Three particular cases are presented: the collision of two identical axially symmetric bunches, the collision of a bunch with a…

Accelerator Physics · Physics 2018-12-18 I. N. Meshkov

Energy-frontier accelerators provide powerful tools performing high precision measurements confirming the fundamental of the physics and broadening new research horizons. Such machines are either driven by circular or linear accelerators.…

Accelerator Physics · Physics 2022-01-26 I. V. Konoplev , S. A. Bogacz , Ya. Shashkov , M. A. Gusarova

With the best of modern standard lasers, high-energy $\gamma\gamma$ colliders from electron beams of E larger than 250 GeV are only possible at the expense of photon luminosity, i.e. 10 times lower than for photon colliders at c.m. energies…

Accelerator Physics · Physics 2022-10-28 Emanuela Barzi , Barry C. Barish , William A. Barletta , Ilya F. Ginzburg , Simone Di Mitri

New self-consistent parameter sets are presented and discussed for muon collider rings at center-of-mass energies of 10, 30 and 100 TeV. All three parameter sets attain luminosities of 3 x 10^35 /cm^2/s. The parameter sets benefit from new…

Accelerator Physics · Physics 2007-05-23 B. J. King

It is very likely that in 3-4 years the construction of one or two linear colliders with c.m.s energy up to 0.5--1.5 TeV will be started. Besides e^+e^- collisions, linear colliders give a unique possibility to study gamma-gamma and…

High Energy Physics - Experiment · Physics 2007-05-23 Valery Telnov

Particle acceleration in plasma creates a possibility of exceptionally high accelerating gradients and appears as a very attractive option for future linear electron-positron and/or photon-photon colliders. These high accelerating gradients…

Accelerator Physics · Physics 2017-01-10 Valeri Lebedev , Alexey Burov , Sergei Nagaitsev
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