I want to compute the polarized cross-section of $$ {e^{-}e^{+}\rightarrow W^{-}W^{+}} $$(adsbygoogle = window.adsbygoogle || []).push({});

but this reaction is chiral and only 2 input helicities are allowed while 9 out put combinations of W-boson helicities/polarization are possible. W(+-0) & W(+-0) are the possible polarization of W-bosons.

The Qs. I am given is that compute the above reaction in high-energy limit so I guess I have to compute the matrix-M but does it also mean to compute the cross-section??

Further;

1: I am having difficulty to understand that how a left-handed positron has a right-handed spinor

and a right handed electron has a left-handed spinor, they are mostly denoted as v(p) & u(p').

2: From the matrix element M how can I draw a graph between $$ {\frac{d}{dcos\theta}} $$ and $$ {cos\theta} $$. OR how can I show the energy dependence of this reaction in graph?

this is the almost the same problem as peskin & schroeder 21.1 and the graphs are 21.10 and 5.1 of the same book.

any hint is much appreciated.

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# How to; polarized reaction ee--->WW

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