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Subsections

y3 resolution (Durham algorithm, P-scheme)


Definition of the observable

We follow the algorithm described in Sec. 10.1 and resum $ y_{3}$, the largest value of $ y_{cut}$ such that the event is clustered to three jets.

Born event used for the analysis

The hard scale (Q) is taken to be photon virtuality.
$ x= Q^2/(2p_1 q)=$ 0.800
$ z= (p_1.p_2)/(p_1.q) =$ 0.700

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
3 $ 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: 10000

Result for each colour configuration
q -> qg $ {\cal F}_2 =-0.43361\pm 0.04269$
q -> gq $ {\cal F}_2 =-0.38096\pm 0.04252$
g -> qq $ {\cal F}_2 =-0.43030\pm 0.04486$

For a precise definition of the configurations see [6].

The multiple emission function $ {\cal F}$

Number of events used: 1
\begin{figure}\centering \epsfig{file=../OutputAnalysis/y3_DurP_dis.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

y3_DurP_dis.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Bibliography Up: Observables in DIS Previous: y2 resolution (Durham algorithm,
Giulia Zanderighi 2004-11-19