1) For each particle i, j in the event the K_t distance is calculated d_ij = min(P^2_ti,P^2_tj) ΔR ^2_ij / R

Where ΔR _ij= (Δeta_i - Δeta_j)^2 + (Δphi_i - Δphi_j)^2

The Kt distance from particle i to the beam is also calculated

d_ij = P^2_iB

2) The next step is to find the dmin value for all dij and diB. (Note there are differences between the Inclusive and Exclusive K_t Jet algorithms)

• INCLUSIVE K_t Jet Algorithm:

If d_ij is the dmin value then the i, j particles are combined ( the particles four momenta are summed together).

if d_iB is the dmin value then the particle i is a final jet and the particle i is removed from the list.

• Exclusive K_t Jet Algorithm:

If d_ij is the dmin value and is less than dcut then the i, j particles are combined ( the particles four momenta are summed together).

if d_iB is the dmin value and is less than dcut then the particle i combined with the beam jet.

3)

• INCLUSIVE K_t Jet Algorithm:

This process is repeated until no more particles are left.

• Exclusive K_t Jet Algorithm:

This process ends when all d_ij and d_iB are above the dcut value