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Subsections

Durham-E 3-jet resolution y3


Definition of the observable

$ y_3$ in the E-scheme is obtained following the algorithm described in Sec. 15.1, but with the recombination procedure in (23) is replaced by the following recombination procedure

$\displaystyle p=p_i+p_j\>.$ (25)

This observable was fully resummed at NLL accuracy for the first time in [3].

Born event used for the analysis

The hard scale (Q) is taken to be the center-of-mass energy.

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 $ 0.000$ 1 1.000 0
2 2.000 $ 0.000$ 1 1.000 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: 1000000

Result for each colour configuration
  $ {\cal F}_2 =-0.31120\pm 0.00273$

For a precise definition of the configurations see [5].

The multiple emission function $ {\cal F}$

Number of events used: 4050
\begin{figure}\centering \epsfig{file=../OutputAnalysis/y3_DurE_ee.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

y3_DurE_ee.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Durham-E0 3-jet resolution y3 Up: Observables in e+e- Previous: Durham-P0 3-jet resolution y3
Giulia Zanderighi 2004-11-19