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Subsections

Thrust with respect to the photon axis (normalized to E)


Definition of the observable

We consider here the current jet thrust normalised to the total energy in the current hemisphere

$\displaystyle T_E = T_Q/(1-\varepsilon)\,,$ (3)

where $ T_Q$ is defined in (1) and the quantity $ \varepsilon$, called the energy deficit in the current hemisphere, is [3]

$\displaystyle \varepsilon \equiv 1-\frac 2 Q \sum_{a\in {\cal H}_{\mathrm{C}}}E_a\;.$ (4)

We consider here the resummation for

$\displaystyle \tau_{zE} =1 - T_E\>.$ (5)

This observable has been resummed in [1].

Born event used for the analysis

The hard scale (Q) is taken to be photon virtuality.

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 $ 2.000 $ $ 0.000$ 1 $ 2.000 $ 0
2 $ 1.000$ $ 1.000$ 1 $ 2.000 $ 0

Multiple emission tests

Test result
continuously global F
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
1 good zero no zero
2 no zero no zero

Classification of legs into divergent sequences with shared properties

Sequence number 1 has 1 legs
Legs in the sequence: 1
Orientation of the legs: 1
Type of zero: zt_sumvecVf
Position of the divergence: $ \sum_{i \in seq.} R_i = 1.000$

Since this observable is discontinuosly global, multiple emission effects have not been computed.

Collection of automatically generated results

tau_zE.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Broadening with respect to Up: Observables in DIS Previous: Thrust with respect to
Giulia Zanderighi 2004-11-19