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,

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

and defines the broadenings for the two regions,

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

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