Abstract

The large hadron electron collider (LHeC) is a proposed upgrade of the Large Hadron Collider (LHC) within the high luminosity LHC (HL-LHC) project, to provide electron-nucleon collisions and explore a new regime of energy and luminosity for deep inelastic scattering. The design of an interaction region for any collider is always a challenging task given that the beams are brought into crossing with the smallest beam sizes in a region where there are tight detector constraints. In this case integrating the LHeC into the existing HL-LHC lattice, to allow simultaneous proton-proton and electron-proton collisions, increases the difficulty of the task. A nominal design was presented in the the LHeC conceptual design report in 2012 featuring an optical configuration that focuses one of the proton beams of the LHC to ${\ensuremath{\beta}}^{*}=10\text{ }\text{ }\mathrm{cm}$ in the LHeC interaction point to reach the desired luminosity of $L={10}^{33}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}2}\text{ }{\mathrm{s}}^{\ensuremath{-}1}$. This value is achieved with the aid of a new inner triplet of quadrupoles at a distance ${L}^{*}=10\text{ }\text{ }\mathrm{m}$ from the interaction point. However the chromatic beta beating was found intolerable regarding machine protection issues. An advanced chromatic correction scheme was required. This paper explores the feasibility of the extension of a novel optical technique called the achromatic telescopic squeezing scheme and the flexibility of the interaction region design, in order to find the optimal solution that would produce the highest luminosity while controlling the chromaticity, minimizing the synchrotron radiation power and maintaining the dynamic aperture required for stability.

Highlights

  • AND MOTIVATIONThe Large Hadron Collider (LHC) [1] at CERN with circumference of 27 collisions betwpeeffiffin pkmffisffi 1⁄4ha7s been TeV providing proton-proton and 13 TeV, lead-lead collisions atpffiffi s 1⁄4 2.76 TeV=nucleon and proton-lead collisions at s 1⁄4 5 TeV=nucleon in four different interaction points, ATLAS [2] in interaction point 1 (IP1), ALICE [3] in interaction point 2 (IP2), CMS [4] in interaction point 5 (IP5) and LHCb [5] in interaction point8 (IP8)

  • This paper explores the feasibility of the extension of a novel optical technique called the achromatic telescopic squeezing scheme and the flexibility of the interaction region design, in order to find the optimal solution that would produce the highest luminosity while controlling the chromaticity, minimizing the synchrotron radiation power and maintaining the dynamic aperture required for stability

  • It is observed that the lattices with Là 1⁄4 10 m and Là 1⁄4 15 m both with βà 1⁄4 10 cm, present a similar behavior, except for the outer zones where the initial amplitudes I are closer to 20σ, these amplitudes are already larger than the dynamic aperture calculated over 105 turns

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Summary

INTRODUCTION

The Large Hadron Collider (LHC) [1] at CERN with circumference of 27 collisions betwpeeffiffin pkmffisffi 1⁄4ha7s been TeV providing proton-proton and 13 TeV, lead-lead collisions atpffiffi s 1⁄4 2.76 TeV=nucleon and proton-lead collisions at s 1⁄4 5 TeV=nucleon in four different interaction points, ATLAS [2] in interaction point 1 (IP1), ALICE [3] in interaction point 2 (IP2), CMS [4] in interaction point 5 (IP5) and LHCb [5] in interaction point. The large hadron electron collider (LHeC) aims to make use of the LHC infrastructure and a new 60 GeV electron accelerator to provide electron-proton (e-p) copllffiiffisions, in the TeV scale, aiming for an energy ( s 1⁄4 2 TeV) 4 times higher and a luminosity (1033 cm−2 s−1) 100 times higher than the previous e-p collider, HERA [7]. The flexibility of this design is studied to explore the limits on luminosity and the reduction of the synchrotron radiation in the IR (Sec. V).

Minimizing βà in HL-LHC
Basic principles of the ATS
Layout
ATS EXTENSION TO THE LHeC
FLEXIBILITY OF THE IR DESIGN
CHROMATICITY CORRECTION
Nominal case correction
Chromaticity correction limits
SYNCHROTRON RADIATION
VIII. DYNAMIC APERTURE STUDIES
FREQUENCY MAP ANALYSIS
Findings
CONCLUSIONS
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