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Subsections

Heavy minus light squared mass


Definition of the observable

The squared jet mass difference is defined as

$\displaystyle M_d^2 \equiv \vert M_R^2 -M_L^2 \vert\>,$ (20)

where $ M_R^2$, $ M_L^2$ are the single hemisphere squared masses defined in (18).

Born event used for the analysis

The hard scale (Q) is taken to be the center-of-mass energy.

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 1.000 0
2 1.000 $ 1.000 $ 1 1.000 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
1 no zero good zero
2 good 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_absdiff
Position of the divergence: $ \sum_{i \in seq.} R_i = 1.000$

Multiple emission effects

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

Number of events used: 1000000

Result for each colour configuration
  $ {\cal F}_2 = 0.41677\pm 0.00493$

For a precise definition of the configurations see [5].

The multiple emission function $ {\cal F}$

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

Collection of automatically generated results

md_ee.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Single-jet squared mass Up: Observables in e+e- Previous: Light-jet squared mass
Giulia Zanderighi 2004-11-19