May 2, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 10, due: 4/23/08
Question 1: The GIM mechanism: b s decay
1. Explain why it is a loop decay and drew the one loop diagrams in the SM.
Answer: The photon couplings i
May 2, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 9, due: 4/16/08
Question 1: Mixing formalism
The eective Hamiltonian of the neutral meson system is given by
i
H=M
2
(1)
where M and are 2 2 Hermitian matrix. CPT
April 23, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 8, due: 4/2/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: Exotic light quarks
We consider a model with the ga
April 23, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 7, due: 3/26/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: Lepton universality
Here we consider muon and tau
March 31, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 6, due: 3/12/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: = 1 for a general Higss
In the SM the Higgs transf
Question 1
Starting from
1
2
4
L =D D F F 2 | |
4
and giving =
v
2
1
2
4
2
= + (ig V + h.c) + g 2 V V | F F 2 | |
4
such that is going to be redened as two real elds
1
= (v + + i )
2
(1)
we will also choose a gauge such that (x) = (x) /v
1
V V =V
g
1
V
March 10, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 4, due: 2/27/08
Question 1: Flavor symmetries
Consider a system with 2 Dirac fermions. The most general Lagrangian is
/
L = i (i ij mij )j
(1)
where the avor ind
February 27, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 3, due: 2/20/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: Scalar Lagrangians
In class we discussed theori
February 14, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 2, due: 2/13/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: Dynkin diagrams
1. Draw the Dynkin diagram of S
February 14, 2008
Cornell University, Department of Physics
Phys 645, EP1, Homework Assignment # 1, due: 2/6/08
Thanks to Jennifer Vaughan for letting me use her tex le for some of the answers.
Question 1: S3
In this question we study the group S3 . It i