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Subsections

Central heavy jet mass with exponentially suppressed forward term


Definition of the observable

One can make the central heavy-jet mass of (18) global with the addition of the exponentially suppressed term $ {\cal E}_{{\cal{\bar C}}}$ of (5) and define

$\displaystyle \rho_{H,{\cal E}} \equiv \rho_{H,{\cal C}} + {\cal E}_{{\cal{\bar C}}}\>.$ (19)

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 $ $ 1.000 $ 1 $ 1.021 $ 0
2 $ 1.000 $ $ 1.000 $ 1 $ 1.021 $ 0
3 $ 1.000 $ $ 1.000 $ 1 $ 1.042 $ 0
4 $ 1.000 $ $ 1.000 $ 1 $ 1.042 $ 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

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
qq -> qq $ {\cal F}_2 =-0.72512\pm 0.01928$
qg -> qg $ {\cal F}_2 =-0.95848\pm 0.02791$
qg -> gq $ {\cal F}_2 =-1.00078\pm 0.02882$
gq -> gq $ {\cal F}_2 =-1.01528\pm 0.02932$
gq -> qg $ {\cal F}_2 =-1.03131\pm 0.02995$
qq -> gg $ {\cal F}_2 =-0.70477\pm 0.02330$
gg -> qq $ {\cal F}_2 =-1.08408\pm 0.03004$
gg -> gg $ {\cal F}_2 =-0.69501\pm 0.01869$

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/mh_HH_exp.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

mh_HH_exp.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Central heavy jet mass Up: Observables in hadronic dijet Previous: Central heavy jet mass
Giulia Zanderighi 2005-05-27