Future Linear Colliders Future Linear Colliders
for Particle Physics for Particle Physics
- E. Adli, University of Oslo/CERN
- E. Adli, University of Oslo/CERN
Future Linear Colliders Future Linear Colliders for Particle - - PowerPoint PPT Presentation
Future Linear Colliders Future Linear Colliders for Particle Physics for Particle Physics E. Adli, University of Oslo/CERN E. Adli, University of Oslo/CERN March 28, 2007 March 28, 2007 Starting point: LEP and LHC Starting point: LEP and
for Particle Physics for Particle Physics
34 cm
2s
1
32 cm
2s
1
31 cm
2s
1
1
(~ 2
cm)
+ and
+e
CM
cm as high as possible for new particle accelerators
P P ∝ ∝ E E4
4 ⇒
⇒ Limited LEP to E Limited LEP to Ecm
cm=209 GeV (RF energy replenishment)
=209 GeV (RF energy replenishment) P P ∝ ∝ m m0
0-
4 ⇒
⇒ changing to p in changing to p in LHC LHC ⇒ ⇒ P no longer the limiting factor P no longer the limiting factor
Technological limit of bending magnet field strength Technological limit of bending magnet field strength ⇒ ⇒ Limits LHC to E Limits LHC to Ecm
cm=14 TeV
=14 TeV ( ( ∝ ∝ B ) B ) ⇒ ⇒ Superconducting magnets needed Superconducting magnets needed
s=P
LEP and E
cm=2 TeV.
e, ⇒
u, ⇒
⇒ R ~ 100 m (not the limiting factor anymore)
CM, without the radiation loss
u=2.10
6s
u=0.5 TeV
LAB=1.10
2s
⇒ ⇒ but we still have to accelerate and collide VERY fast but we still have to accelerate and collide VERY fast In addition: problems with neutrino radiation In addition: problems with neutrino radiation
e, but let R
[ at s2
2 pp pp = (14 TeV)
= (14 TeV)2,
2, m
mH
H = 150 GeV/c
= 150 GeV/c2
2 ]
]
2 / 4
xσ
y )
several OM higher than LEP
cm while reusing LEP
+/-
+/-
1. 1.
E ECOM
COM 2. 2.
Accelerating gradient [V/m] Accelerating gradient [V/m]
e=0.5 TeV and an average gradient of g=100 MV/m we
+ and e
⇒
st main challenge of future
RF ~ W)
RF ~ MW)
x –
y –
( Example design value for E ( Example design value for Ecm
cm = 3 TeV, 10
= 3 TeV, 1035
35 cm
cm-
2s
s-
1)
( Example design value for E ( Example design value for Ecm
cm = 3 TeV, 10
= 3 TeV, 1035
35 cm
cm-
2s
s-
1)
+
cm = 3 TeV
34 cm
2s
1
9
x = 60 nm ,
y = 0.7 nm
Professor og direktør ved Europas nest største akseleratorsenter! (DESY i Hamburg) Pioneer både for betatronprinsippet og for lineære akseleratorer! Leder av CERN PS prosjektet (en viktig del av LHC- komplekset den dag i dag!) Involvert i en rekke CERN- prosjekter, og leder av CERN's gruppe for akseleratorforskning!
Collective effect 1: Collective effect 1: Space Charge
10 equal particles per bunch...!
Combined Gauss' and Ampere's law gives
2 cancellation is very important effect in all
2 cancellation does only hold under certain
Collective effect 2: Collective effect 2: Wake fields
Even for the simplest cases the trailing field becomes complicated: ed:
Fortunately we are usually no interested in the field, but its effect on a test particle. ffect on a test particle. And, And, “ “even better even better” ”, the effect along a defined structure or path length. , the effect along a defined structure or path length.
We define the following normalized normalized quantities (1 quantities (1st
st order terms):
With v=c: w's characteristic of structure only characteristic of structure only: :
* great: can now use EM * great: can now use EM-
simulations (Maxwell) to calculate wake function * then: can plug the results only into our simulation packages a * then: can plug the results only into our simulation packages as Green s Green’ ’s functions for any charge distribution s functions for any charge distribution Resistive wall wake field (A. Chao/K. Bane): constant cross sec Resistive wall wake field (A. Chao/K. Bane): constant cross section tion
⎥⎜ (
⊥ (
Collective effect 3: Collective effect 3: Coherent Synchrotron Radiation
rad the particles will radiate coherently at
Power will be radiated ∝ ∝ N N2
2 (instead of N)
(instead of N)
ret=t
ret)/c, while LHS is at time t
Retarded field (Jackson) Retarded field (Jackson)
My work involves among other things calculation and simulation of all the above effects – Beam Dynamics
2020
ILC ILC upgra de CLIC