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hw11 - point and compare the results from Micromegas and...

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PHZ 6358: Standard Model I Fall Term 2011 Homework Set 11 Due Wednesday, November 30, 2011 Problem 1. Dark matter singlet. Consider adding a stable scalar particle S to the Standard Model as in eq. (2) of hep-ph/0405097: L S = 1 2 μ S∂ μ S - 1 2 m 2 S S 2 - k 2 | H | 2 S 2 Use Micromegas to plot the relic density of S and its direct detection cross-section per nucleon as a function of its mass M S radicalBig m 2 S + kv 2 / 2, for a fixed value of its coupling k to the SM Higgs. Problem 2. DarkSUSY online. Visit the DarkSUSY web page http://www.physto.se/~edsjo/darksusy/index.html click on “DarkSUSY online” and explore the online interface. Choose a random MSUGRA
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Unformatted text preview: point and compare the results from Micromegas and DarkSUSY. Problem 3. Dark matter halos [Optional]. A general family of dark matter halo proFles is parameterized as ρ ( r ) ∼ p a r P γ 1 [1 + ( r/a ) α ] ( β-γ ) /α . ±or (some of) the following halo proFles, plot the expected velocity rotation curves as a function of r : (a) Navarro, ±renk and White: ( α, β, γ ) = (1 , 3 , 1), a = 25 kpc. (b) ModiFed isothermal: ( α, β, γ ) = (2 , 2 , 0), a = 4 kpc. (c) Kravtsov: ( α, β, γ ) = (2 , 3 , . 2), a = 11 kpc....
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