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Subsections

Central heavy jet mass with recoil term


Definition of the observable

The central heavy-jet mass with recoil term can be obtained from the central heavy-jet mass defined in eq. (18) with the addition of the recoil term defined in eq. (8):

$\displaystyle \rho_{H,{\cal R}} \equiv \rho_{H,{\cal C}} + {\cal R}_{\perp,{\cal C}}\,.$ (20)

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 $ 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

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 =-0.34041\pm 0.02941$
qg -> qg $ {\cal F}_2 =-0.53160\pm 0.03566$
qg -> gq $ {\cal F}_2 =-0.39772\pm 0.04296$
gq -> gq $ {\cal F}_2 =-0.42508\pm 0.04761$
gq -> qg $ {\cal F}_2 =-0.51672\pm 0.03728$
qq -> gg $ {\cal F}_2 =-0.53610\pm 0.01922$
gg -> qq $ {\cal F}_2 =-0.25807\pm 0.04464$
gg -> gg $ {\cal F}_2 =-0.36534\pm 0.02735$

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

Collection of automatically generated results

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