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Next: Central total broadening with Up: Observables in hadronic dijet Previous: Cone heavy jet mass

Subsections

Central total broadening


Definition of the observable

One can consider all particles in a central rapidity region $ {\cal C}$, and determine the transverse thrust axis $ \vec{n}_{T,{\cal C}}$ as described in eq. (2). One then separates the event into an up region $ {\cal C}_U$ consisting of all particles in $ {\cal C}$ with $ \vec
p_\perp \cdot \vec n_{T,{\cal C}} > 0$ and a down region $ {\cal C}_D$ with all particles in $ {\cal C}$ with $ \vec p_\perp \cdot \vec n_{T,{\cal C}} < 0$. One then introduces rapidities and azimuthal angles of axes for the up and down regions,

$\displaystyle \eta_{X,{\cal C}} \equiv \frac{\sum_{i\in {\cal C}_X} p_{\perp i}...
...X} p_{\perp i} \phi_i}{\sum_{i\in {\cal C}_X} p_{\perp i}}\,,\qquad X = U, D\,,$ (21)

and defines the broadenings for the two regions,

$\displaystyle B_{X,{\cal C}} \equiv \frac{1}{2Q_{\perp,{\cal C}}} \sum_{i\in{\c...
..._i-\eta_{X,{\cal C}})^2 + (\phi_i - \phi_{X,{\cal C}})^2}\,, \qquad X = U, D\,,$ (22)

where $ Q_{\perp,{\cal C}}$ is the total transverse energy in $ {\cal C}$ as defined in eq. (6). One then defines the central total broadening

$\displaystyle B_{T,{\cal C}} \equiv B_{U,{\cal C}}+ B_{D,{\cal C}}\,.$ (23)

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 F

Since this observable is non-global, the analysis has not been continued. Since this observable is discontinuosly global, multiple emission effects have not been computed.

Collection of automatically generated results

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