1. Review of Detector Solenoid Effect to the Beam Effect on Beam Orbit Effect on Beam Size S.Kuroda(KEK)

2. Solenoid Effect on Beam Orbit Sharp edge approximation Finite crossing angle with offset L  c  Offset@IP  y=0  y’=-  : No effect on Luminosity for e+e-, but need compensation for e-e- Need compensation for post IP polarimetry  =B0  c/(2 B  )  y’= -2  for extracted beam must be also considered in extraction line design. [B.Parker, A.Seryi]

3. Correction of the Orbit Offset 2 correctors K1=  /(1-L1/L2) ( inside sol.) K2= -  /(L2/L1-1)( outside sol.) Extracted beam  y’=−Θ(2 + 1/(L2/L1 − 1)) [B.Parker, A.Seryi]

4. Detector Integrated Dipole(DID) Real solenoid field extends and overlaps to FD. Correction by FD offset  Large orbit distortion  Correction should be done locally(y changes inside solenoid)  DID DID: Co-winding with solenoid in cryostat 1. Smaller B  radiation Length in detector  acceptance 2. Avoiding torque(forces) between solenoid and B when B is introduced separately. 3. Large bore  good uniformity in beam region DID+FD offset  IP angle compensation [B.Parker]

5. Solenoid Effect on Beam Size Effect due to synchrotron radiation  SR ~ (B 0  c L) 5/2 F(optics) [PRSTAB-061001] (independent on beam energy) for  c =20mrad full x-ing angle:  SR = 0.31 nm in SD  SR = 0.57 nm in LD  where  is understood as  =sqrt[  0 2 +  2 ]

6. Overlapping effect of Bz to FD 1.Real solenoid field extends and overlaps to FD  Beam size growth 2. Independent on  c  LD Bz profile LD model,  = 20 mradLD model,  = 0 [Y.Nosochkov, A.Seryi] green:no solenoid red:with solenoid

7. Beam size compensation  Correction can be done using skew Q & SX displacement   y/  y0~1.03 This correction method is difficult when E is very low. SiD case only orbit cor. Beam size cor. by SQ,SX… [B.Parker, A.Seryi]

8. Example of LD solenoid compensation using two weak antisolenoids (2.26 and 0.07 Tm) placed at two FF quads. Total field with and w/o antisolenoids IP phase space with antisolenoid correction,  y = 23% With antisolenoids and linear knobs,  y = 0.9% [Y.Nosochkov, A.Seryi]

9. IP distortion & beam size compensation for SiD (DID & anti-solenoid)  Additional B BXMID introduced Beam size is corrected to  y/  y0~1.01 by anti-solenoid and skew Q  Knob strength is relaxed by anti-solenoid

10. Summary For non-zero x-ing angle, solenoid field will make finite y’ @IP  y’ should be zeroed for e-e- collision/post IP polarimetry A corrector in solenoid region is needed( e.g. DID ) Beam size growth due to overlapping solenoid field to FD ( indep. on x-ing angle ) >> Beam size growth due to synchrotron rad. Anti-solenoid method excellently compensates this effect ( down to low E )