Wednesday, May 29, 2013

Power of The Computation

Recently, I am working on a program which calculates the radiative correction and one loop level Feynman diagrams. For that, I am calculating a bunch of Feynman amplitudes of elementary particles. Just to see my program does well, I have calculated a very basic process like $e^+e^- \longrightarrow \mu^+\mu^-$ at one loop level.

Actually, I am working on charging and neutralino pair production in the context of MSSM and one loop level. I wanted to check my little program can calculate scattering processes at one loop level (hopefully radiative corrections too, very soon) so I have calculated a basic QED process and checked it against to available experimental results. After a little search, I have found data available from Novasibirsk in ($\sqrt{S}=980\; MeV \;-\; 1400\;MeV$) energy region. Below you will see two plots for the scattering process, the first one is just zoomed in according to exp. result and the second one is between $200\;MeV\; - \;2000\;MeV$. The blue dots represent the experimental data taken from HEPDATA, the green one is LO calculation and the red one is NLO level. The fitting between NLO result and experiment is amazing as you can see below. 

Comparison of hepdata and calculation at one loop level for $e^+e^-\rightarrow\mu^+\mu^-$ scattering.

UPDATE(1 March 2015): Well the computation is perfected and finally it produced a paper. You may have a look at the neutralino pair production in the context of supersymmetry at ILC. HERE In this work, I have looked at the neutralino pair production in the benchmark scenarios introduced after LHC7 and LHC8 data. The total integrated cross section and angular dependence are also presented.