Particle Physics 5, Exercises - Physics, Exercises of Particle Physics

Particle Physics 5, Exercises - Physics - Prof. Hitoshi Murayama, University of California (CA) - UCLA, United States of America (USA), Prof. Hitoshi Murayama, Physics, Particle Physics,exercise,solution

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2010/2011

Uploaded on 10/31/2011

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HW #5 (129A), due Nov 15, 4pm
1. Reproduce the curve for the data from CPLEAR measurement of the
asymmetry in K0-K0oscillation in Phys. Lett. B 444, 38 (1998), http:
//www.elsevier.com/IVP/03702693/444/38/. You can assume CP.
2. Verify that the ratio of Γ(πµ¯νµ) and Γ(πe¯νe) can be under-
stood with the universality using the predicted ratio
Γ(πe¯νe)
Γ(πµ¯νµ)= me
mµ!2(1 m2
e/m2
µ)2
(1 m2
µ/m2
π)2.(1)
3. Show that δLis given by 2<e() to the leading order in .

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HW #5 (129A), due Nov 15, 4pm

  1. Reproduce the curve for the data from CPLEAR measurement of the

asymmetry in K^0 - K 0 oscillation in Phys. Lett. B 444, 38 (1998), http: //www.elsevier.com/IVP/03702693/444/38/. You can assume CP.

  1. Verify that the ratio of Γ(π−^ → μ−^ ¯νμ) and Γ(π−^ → e−^ ¯νe) can be under- stood with the universality using the predicted ratio

Γ(π−^ → e−^ ν¯e) Γ(π−^ → μ−^ ¯νμ)

( me mμ

) 2 (1 − m^2 e/m^2 μ)^2 (1 − m^2 μ/m^2 π)^2

  1. Show that δL is given by 2<e() to the leading order in .