# Page History

## Key

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17. About the delta function influence

Status
 YellowGrey to 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
 YellowGrey To be solvedsolved - see logbook 7.1

Mathematica notebook - int.nb

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Here is the table for all masses:

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

LaTeX Math Inline
body 2\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
 body 250

LaTeX Math Inline
 body 0.167587

LaTeX Math Inline
 body 1.52302

LaTeX Math Inline
 body 9.08797

LaTeX Math Inline
 body 400

LaTeX Math Inline
 body 0.138187

LaTeX Math Inline
 body 1.32066

LaTeX Math Inline
 body 9.55702

LaTeX Math Inline
 body 1000

LaTeX Math Inline
 body 0.00017508

LaTeX Math Inline
 body 0.00127272

LaTeX Math Inline
 body 7.26935

new notebook - int.nb

15.

Status
 YellowGrey to be solved

View file
name int.nb 150

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10. Question on FormCalc

Status
 YellowGrey To 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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