2 Mixing Angles The Z boson is a linear combination of W3 and B, -9B+ Z 9 W³ = − sin fwB + cos 0wW³, (2.1) 9z 9z where w

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2 Mixing Angles The Z Boson Is A Linear Combination Of W3 And B 9b Z 9 W Sin Fwb Cos 0ww 2 1 9z 9z Where W 1 (72.31 KiB) Viewed 19 times

2 Mixing Angles The Z boson is a linear combination of W3 and B, -9B+ Z 9 W³ = − sin fwB + cos 0wW³, (2.1) 9z 9z where w is called the Weinberg angle. You can think of this as a two-dimensional real vector space with basis vectors B) and W³). The Z-boson, Z) is a different basis vector. It is the state that explicitly picked up a mass from the Higgs vev. The photon is the other basis vector in this ³ For those interested in doing further reading, this is called a symmetry factor and it has to do with the different permutations of particle creation/annihilation operators. new (mass eigenstate) basis. It did not pick up a mass, but we can infer the linear combination by requiring that it is orthonormal to the Z. Show that (up some choice of signs), the photon is 9 g' (2.2) A -W³. -B+ = 9z 9z