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Next: Central transverse thrust with Up: Observables in hadronic dijet Previous: Directly global transverse thrust

Subsections

Central transverse thrust


Definition of the observable

One minus the central transverse thrust is defined as

$\displaystyle \tau_{\perp,{\cal C}} \equiv 1-T_{\perp,{\cal C}}\,,$ (2)

where the transverse thrust $ T_{\perp,{\cal C}}$ is measured from the directly observed particles in a central rapidity region $ {\cal C}$:

$\displaystyle T_{\perp,{\cal C}} \equiv \max_{\vec n_{T,{\cal C}}} \frac{\sum_{...
..._{\perp i}\cdot {\vec n_{T,{\cal C}}}\vert}{\sum_{i\in{\cal C}} p_{\perp i}}\,.$ (3)

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 $ 2.000 $ $ 0.000$ $ \sin^2\phi$ $ 0.521 $ $ -2\ln(2)$
2 $ 2.000 $ $ 0.000$ $ \sin^2\phi$ $ 0.521 $ $ -2\ln(2)$
3 $ 1.000 $ $ 1.000 $ $ \sin^2\phi$ $ 1.042 $ $ -2\ln(2)$
4 $ 1.000 $ $ 1.000 $ $ \sin^2\phi$ $ 1.042 $ $ -2\ln(2)$

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 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_sumVsignkx
Position of the divergence: $ \sum_{i \in seq.} R_i = 0.500$

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

Collection of automatically generated results

othr_HH_cut.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Central transverse thrust with Up: Observables in hadronic dijet Previous: Directly global transverse thrust
Giulia Zanderighi 2005-05-27