hw10 - 1 < . 5 E CM and the mass of the...

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PHZ 6358: Standard Model I Fall Term 2011 Homework Set 10 Due Wednesday, November 23, 2011 Reading: Class notes and references linked to the class diary. Problem 1. Slepton production at a Lepton Collider. Consider the following process at a Lepton Collider with a Fxed center-of-mass energy E CM (see ±ig. 1). Two heavy particles, let’s call them “supermuons”, are produced and decay via two-body decays as shown. Each “supermuon” ˜ μ 1 (“smuon” for short) decays to a regular muon plus a weakly interacting massive particle (a WIMP) ˜ χ 0 1 , let’s call it a “neutralino”. The mass of the smuon is M
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Unformatted text preview: 1 < . 5 E CM and the mass of the neutralino is M 1 . You can ignore the mass of the muon. e + e- * ,Z * + 1 1 -1 1 + -igure 1: Smuon pair production and decay at an e + e-collider. (a) Show that the distribution of the muon energy E in the LAB frame has the shape of a rectangular box. (b) Derive the kinematic endpoints E min and E max of the E distribution in terms of M 1 , M 1 and E CM . (c) Solve for the unknown M 1 and M 1 in terms of the measured E min and E max . 1...
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