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Subsections

Central transverse thrust with recoil term


Definition of the observable

One minus the central transverse thrust with recoil term is defined as

$\displaystyle \tau_{\perp,{\cal R}} \equiv 1-T_{\perp,{\cal C}} + {\cal R}_{\perp,{\cal C}}\,,$ (7)

where the central transverse thrust $ T_{\perp,{\cal C}}$ is defined in (3), and $ {\cal R}_{\perp,{\cal C}}$ denotes the normalised transverse recoil of the measured system:

$\displaystyle {\cal R}_{\perp,{\cal C}} \equiv \frac{1}{Q_{\perp,{\cal C}}} \left\vert\sum_{i \in {\cal C}} {\vec p}_{\perp i}\right\vert\,.$ (8)

Here $ {\cal C}$ denotes a central region in rapidity and $ Q_{\perp,{\cal C}}$ is defined in eq. (6).

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 $ $ 0.000$ 1 $ 1.021 $ 0
2 $ 1.000 $ $ 0.000$ 1 $ 1.021 $ 0
3 $ 1.000 $ $ 1.000 $ $ \Vert sin^2\phi\vert$ $ 1.042 $ $ -2\ln(2)$
4 $ 1.000 $ $ 1.000 $ $ \Vert sin^2\phi\vert$ $ 1.042 $ $ -2\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 F

Information regarding the presence of possible zeros

leg 1 2 3 4
1 good zero good zero no zero no zero
2 good zero good zero no zero no zero
3 no zero no zero no zero no zero
4 no zero no zero no zero no zero

Classification of legs into divergent sequences with shared properties

Sequence number 1 has 2 legs
Legs in the sequence: 1 2
Orientation of the legs: 1 -1
Type of zero: zt_sumvecVf
Position of the divergence: $ \sum_{i \in seq.} R_i = 2.000$

Multiple emission effects

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

Number of events used: 1

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.00189\pm 0.00000$
qg -> qg $ {\cal F}_2 =-0.00041\pm 0.00000$
qg -> gq $ {\cal F}_2 =-0.00203\pm 0.00000$
gq -> gq $ {\cal F}_2 =-0.01112\pm 0.00000$
gq -> qg $ {\cal F}_2 =-1.16106\pm 0.00000$
qq -> gg $ {\cal F}_2 =-0.00002\pm 0.00000$
gg -> qq $ {\cal F}_2 =-0.00001\pm 0.00000$
gg -> gg $ {\cal F}_2 = 0.00000\pm 0.00000$

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

The multiple emission function $ {\cal F}$

Number of events used: 3000000
\begin{figure}\centering \epsfig{file=../OutputAnalysis/othr_HH_rec.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

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