- #1
tomperson
- 4
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Hi
I am attempting to calculate the mass of the W boson according to one loop energies using the equation,
Mw2=(πα/GF√2)/sin2θw(1-Δr)
where (Δr)top=(3GFMt2)/8√2π2tan2θw
using values:-
α=α(MZ)=(127.916)-1
GF=1.16634×10-5
sin2θw=0.23116 => tan2θw=sin2θw/cos2θw=sin2θw/(1-sin2θw)=0.300661
Mt=172.9
This gives the result Mw=72.2922, which is very wrong.
I suspect at least part of the discrepancy comes from the fact that the Tree Level Fermi Constant has been used, yet many hours of scouring the Internet has not revealed any running values of it. Is my assumption correct, or is there something more fundamentally wrong with what I have done?
I appreciate any assistance you can lend.
I am attempting to calculate the mass of the W boson according to one loop energies using the equation,
Mw2=(πα/GF√2)/sin2θw(1-Δr)
where (Δr)top=(3GFMt2)/8√2π2tan2θw
using values:-
α=α(MZ)=(127.916)-1
GF=1.16634×10-5
sin2θw=0.23116 => tan2θw=sin2θw/cos2θw=sin2θw/(1-sin2θw)=0.300661
Mt=172.9
This gives the result Mw=72.2922, which is very wrong.
I suspect at least part of the discrepancy comes from the fact that the Tree Level Fermi Constant has been used, yet many hours of scouring the Internet has not revealed any running values of it. Is my assumption correct, or is there something more fundamentally wrong with what I have done?
I appreciate any assistance you can lend.