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Subsections

Central total broadening with exponentially suppressed forward term


Definition of the observable

One can make the central total broadening of eq. (23) global with the addition of the exponentially suppressed term $ {\cal E}_{{\cal{\bar C}}}$ of eq. (5) and define

$\displaystyle B_{T,{\cal E}} \equiv B_{T,{\cal C}} + {\cal E}_{{\cal{\bar C}}}\>.$ (24)

Born event used for the analysis

The hard scale (Q) is taken to be the Born partonic center-of-mass energy.
Rapidity of the center of mass of the outgoing pair: 0.000
Cosine of the angle between outgoing jet and beam (in the partonic CM frame): 0.200

Elementary tests on the observable

Test result
check number of jets T
all legs positive T
globalness T

Single emission properties

leg $ \ell$ $ a_{\ell}$ $ b_{\ell}$ $ g_{\ell}(\phi)$ $ d_{\ell}$ $ \langle \ln g_{\ell}(\phi) \rangle$
1 $ 1.000 $ $ 1.000 $ 1 $ 1.021 $ 0
2 $ 1.000 $ $ 1.000 $ 1 $ 1.021 $ 0
3 $ 1.000 $ $ 0.000$ 1 $ 1.021 $ 0
4 $ 1.000 $ $ 0.000$ 1 $ 1.021 $ 0

Multiple emission tests

Test result
continuously global T
exponentiation (condition 1) T
exponentiation (condition 2a) T
exponentiation (condition 2b) T
exponentiation T
additivity F
eliminate subleading effects T
opt. probe region exists T

Information regarding the presence of possible zeros

No zeroes or small values found.

Multiple emission effects

Second order coefficient $ {\cal F}_2$ of the function $ {\cal F}$

Number of events used: 10000

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.86979\pm 0.02619$
qg -> qg $ {\cal F}_2 =-1.00659\pm 0.03305$
qg -> gq $ {\cal F}_2 =-1.14126\pm 0.03582$
gq -> gq $ {\cal F}_2 =-1.02468\pm 0.03255$
gq -> qg $ {\cal F}_2 =-1.08856\pm 0.03545$
qq -> gg $ {\cal F}_2 =-1.27077\pm 0.04131$
gg -> qq $ {\cal F}_2 =-0.80389\pm 0.02170$
gg -> gg $ {\cal F}_2 =-0.83711\pm 0.02571$

For a precise definition of the configurations see [3].

The multiple emission function $ {\cal F}$

Number of events used: 1000000
\begin{figure}\centering \epsfig{file=../OutputAnalysis/bt_HH_exp.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

bt_HH_exp.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Central total broadening with Up: Observables in hadronic dijet Previous: Central total broadening
Giulia Zanderighi 2005-05-27