graphicle.calculate.weighted_centroid(pmu: MomentumArray, pseudo: bool = True) → tuple[float, float][source]

Calculates the \(p_T\)-weighted centroid for a set of particles in the (pseudo)rapidity-azimuth plane.

New in version 0.3.1.

Parameters:
pmu : MomentumArray

Momenta of the particles in the set.

pseudo : bool

If True, will use pseudorapidity. If False, will use true rapidity. Default is True.

Returns:

rapidity_centre, azimuth_centre – The \(p_T\)-weighted centroid of the particles.

Return type:

float

See also

resultant_coords

Coordinates of the momentum sum.

Notes

The \(p_T\)-weighted centroid pseudorapidity is given by:

\[\bar \eta = \dfrac{\sum_j p_{T j} \eta_j} {\sum_k p_{T k}}\]

For azimuth, \(\eta\) is swapped for \(\phi\), and the result is shifted to remain in the \([-\pi, +\pi]\) range.

Last update: Jun 27, 2025