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Subsections

Central total broadening with recoil term


Definition of the observable

The central total broadening with recoil term can be obtained from the central total broadening defined in eq. (23) with the addition of the recoil term defined in eq. (8):

$\displaystyle B_{T,{\cal R}} = B_{T,{\cal C}} + {\cal R}_{\perp,{\cal C}}\,.$ (25)

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 $ $ 0.000$ 1 $ 1.021 $ 0
4 $ 1.000 $ $ 0.000$ 1 $ 1.021 $ 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 T
opt. probe region exists T

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: 10000

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.57993\pm 0.02130$
qg -> qg $ {\cal F}_2 =-0.71708\pm 0.02890$
qg -> gq $ {\cal F}_2 =-0.72099\pm 0.02996$
gq -> gq $ {\cal F}_2 =-0.73009\pm 0.03202$
gq -> qg $ {\cal F}_2 =-0.69541\pm 0.03154$
qq -> gg $ {\cal F}_2 =-0.89923\pm 0.02907$
gg -> qq $ {\cal F}_2 =-0.34368\pm 0.03132$
gg -> gg $ {\cal F}_2 =-0.58437\pm 0.02119$

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

The multiple emission function $ {\cal F}$

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

Collection of automatically generated results

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