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Impact on Σ z and β y * of a variation (Z c -Z waist ).

Impact on Σ z and β y * of a variation (Z c -Z waist ). β y *,HER - β y *,LER contours using a TOY MC for the σ y (z) analysis. β y,HER = 1.4 cm; β y, LER =1.4 cm ; Zw = 0 cm ; Zc = -0.5-> 1cm. ε LER =2.5 nm ; ε LER = 5 nm.

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Impact on Σ z and β y * of a variation (Z c -Z waist ).

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  1. Impact on Σz and βy* of a variation (Zc-Zwaist). βy*,HER - βy*,LER contours using a TOY MC for the σy(z) analysis. B.Viaud, cpo, April 27th 2006

  2. βy,HER = 1.4 cm; βy,LER =1.4 cm ; Zw = 0 cm ; Zc = -0.5-> 1cm εLER =2.5 nm ; εLER= 5 nm B.Viaud, cpo, April 27th 2006

  3. βy,HER = 1.4 cm; βy,LER =1.4 cm ; Zw = 0->1 cm ; Zc = 0 cm εLER = 2.5 nm ; εLER= 5 nm B.Viaud, cpo, April 27th 2006

  4. βy,HER = βy,LER =1.4 cm ; Zw,L = 0->0.5 cm ; Zw,H = 0-> -0.5 cm; Zc=0 ; εLER = nm ; εLERnm B.Viaud, cpo, April 27th 2006

  5. βy,HER = 1.6 cm; βy,LER = 1.1 cm ; Zw = 0->1 cm ; Zc = 0 cm εLER = 2.5 nm ; εLER=5 nm B.Viaud, cpo, April 27th 2006

  6. βy,HER = 1.6 cm; βy,LER = 1.1 cm ; Zw = 0 cm ; Zc = -0.5-> 1cm εLER = 2.5 nm ; εLER= 5 nm B.Viaud, cpo, April 27th 2006

  7. βy,HER = 1.6 cm; βy,LER =1.1 cm ; Zw = 0 cm ; Zc = -0.5-> 1cm εLER = 1 nm ; εLER=1 nm B.Viaud, cpo, April 27th 2006

  8. βy,HER = 1.6 cm; βy,LER =1.1 cm ; Zw = 0 ->1 cm ; Zc = 0 cm εLER = 1 nm ; εLER=1 nm B.Viaud, cpo, April 27th 2006

  9. New approach to determine the βy*,HER - βy*,LERcontour allowed by the measured βy*,EFF • dL/dz analysis • σy(z) analysis valid for |D| < 4 mm ! B.Viaud, cpo, April 27th 2006

  10. Contours 1-sigma contours dL/dz, σy, ,|D|<4mm εHER= 2.5 nm εLER = 5 nm βHER [cm] => need to find βeffwith no approximation to find where both contours cross. B.Viaud, cpo, April 27th 2006 βLER [cm]

  11. => TOY-MC : * simulate measurements of σy(z)according to(2)e * study the βyeffobtained by fitting (1) to these measurements as a function of βy*,LER , βy*,LER and emittances used to generate -> re-iterate for many values of (βy*,LER, βy*,HER). B.Viaud, cpo, April 27th 2006

  12. PB : when βLER and βHER are very different : (1) cannot yield a good fit. To use only meaningful results -> cut chi2 < 3 => Contour depends on the errors on the data points... B.Viaud, cpo, April 27th 2006

  13. Previous plot : errors on σy(z) in the TOY taken from Josh’s last measurement. • With 10 times smaller errors : B.Viaud, cpo, April 27th 2006

  14. εHER= 1 nm εLER = 1 nm B.Viaud, cpo, April 27th 2006

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