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Subsections

Out-of-plane momentum


Definition of the observable

We measure the radiation out of the plane (yz) containing the photon axis and the thrust-major axis normalised to the photon virtuality $ Q$

$\displaystyle \frac{K_{out}}{Q} \equiv \frac{\sum_{i} \vert p_{xi}\vert}{Q} \>.$ (12)

This observable has been resummed in the 3-jet limit in [5].

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 1.000 $ 0.000$ $ \vert\sin(\phi)\vert$ 2.000 $ -\ln(2)$
2 1.000 $ 0.000$ $ \vert\sin(\phi)\vert$ 2.000 $ -\ln(2)$
3 1.000 $ 0.000$ $ \vert\sin(\phi)\vert$ 2.000 $ -\ln(2)$

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: 1000000

Result for each colour configuration
q -> qg $ {\cal F}_2 =-0.59564\pm 0.00176$
q -> gq $ {\cal F}_2 =-0.59628\pm 0.00177$
g -> qq $ {\cal F}_2 =-0.61479\pm 0.00179$

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

The multiple emission function $ {\cal F}$

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

Collection of automatically generated results

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