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Subsections

Central y3 (kt algorithm, DeltaR, E-scheme) with exponentially suppressed forward term


Definition of the observable

We make the central three-jet resolution parameter in eq. (34) global via the addition of the exponentially suppressed term $ {\cal E}_{{\cal{\bar C}}}$ of eq. (5) as follows:

$\displaystyle y_{23,{\cal E}} \equiv y_{23,{\cal C}} + {\cal E}_{{\cal{\bar C}}}^2\,.$ (35)

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 $ 2.000 $ $ 2.000 $ 1 $ 1.042 $ 0
2 $ 2.000 $ $ 2.000 $ 1 $ 1.042 $ 0
3 $ 2.000 $ $ 0.000$ 1 $ 1.042 $ 0
4 $ 2.000 $ $ 0.000$ 1 $ 1.042 $ 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 F
opt. probe region exists F

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: 1000

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.78861\pm 0.13029$
qg -> qg $ {\cal F}_2 =-0.99363\pm 0.18980$
qg -> gq $ {\cal F}_2 =-0.88016\pm 0.15447$
gq -> gq $ {\cal F}_2 =-1.43008\pm 0.29454$
gq -> qg $ {\cal F}_2 =-1.11024\pm 0.17882$
qq -> gg $ {\cal F}_2 =-0.86258\pm 0.25231$
gg -> qq $ {\cal F}_2 =-0.97255\pm 0.14896$
gg -> gg $ {\cal F}_2 =-0.51058\pm 0.07859$

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

The multiple emission function $ {\cal F}$

Number of events used: 1436050
\begin{figure}\centering \epsfig{file=../OutputAnalysis/y3_DeltaRE_HH_exp.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

y3_DeltaRE_HH_exp.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Central y3 (kt algorithm, Up: Observables in hadronic dijet Previous: Central y3 (kt algorithm,
Giulia Zanderighi 2005-05-27