1. Crab-Crossing and Luminosity Simulations J.W. Flanagan, KEK 2003.1.20

2. SuperKEKB Parameters w/wo Crab Crossing Weak-Strong Simulation Strong-Strong Simulation 0.138 2.6e35

3. Luminosity Luminosity: Beam-beam parameters: Energy transparency:

4. Luminosity Reduction Factor Hirata Formula: F(emittance, beta, crossing angle, bunch length)

5. Simulation: Crab-Crossing Crab-crossing restores full luminosity of a head-on collision. (S-S)

6. Ohmi Simulations For crossing angle > 10 mrad both W-S and S-S show vertical beam-beam parameter saturating at ~0.06. At zero crossing angle, W-S and S-S disagree.

7. SuperKEKB Parameters w/wo Crab Crossing Weak-Strong Simulation Strong-Strong Simulation 0.138 2.6e35 0.06 1.2e35