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17. About the delta function influence

Status
colourYellowGrey
titleto be solvedsolved - we decided to use different approach, see logbook 7.2

We are interested in

LaTeX Math Inline
body\sigma (pp \rightarrow Zh)(s) = \int_0^1 dx_1 dx_2\ f_1(x_1) f_2 (x_2)\ \delta(\hat{s}x_1 x_2 - s)\ \sigma (b\bar{b} \rightarrow Zh)(\hat{s}x_1 x_2)
, which can be rewritten:

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This is probably also wrong, since this integration is giving result 

LaTeX Math Inline
body\sim 10^{-3}\ \text{pb}

16. 

Status
colourYellowGrey
titleTo be solvedsolved - see logbook 7.1

Mathematica notebook - int.nb

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Here is the table for all masses:


LaTeX Math Inline
bodyM_A, \text{GeV}
LaTeX Math Inline
body\sigma_{\text{SusHi}}(M_A) \times \text{BR}

LaTeX Math Inline
body2\int dx_1 dx_2 f_1(x_1) f_2(x_2) \sigma_{\text{anal}} (x_1 x_2 \hat{s})

ratio

LaTeX Math Inline
body250

LaTeX Math Inline
body0.167587

LaTeX Math Inline
body1.52302

LaTeX Math Inline
body9.08797

LaTeX Math Inline
body400

LaTeX Math Inline
body0.138187

LaTeX Math Inline
body1.32066

LaTeX Math Inline
body9.55702

LaTeX Math Inline
body1000

LaTeX Math Inline
body0.00017508

LaTeX Math Inline
body0.00127272

LaTeX Math Inline
body7.26935

new notebook - int.nb

15.

Status
colourYellowGrey
titleto be solved


View file
nameint.nb
height150

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10. Question on FormCalc

Status
colourYellowGrey
titleTo be solved

  • When the sum over polarizations is done is the numerical factor also taken into account by FormCalc? - seems like not, it calculates just bare polarization sum
  • Since Z boson has 3 polarization states, should I multiply the polarization sum by
    LaTeX Math Inline
    body\frac{1}{9}
    ?

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