High Energy / Nuclear Theory / RIKEN Seminars
[RBRC seminar] Multiplicity distributions of produced gluons in DIS: evolution equations and homotopy solutions
by
→
US/Eastern
2-160 (https://bnl.zoomgov.com/j/1600983728?pwd=RAD7OLcqre7Ycsp6JfFp6HAnpyLxex.1)
2-160
https://bnl.zoomgov.com/j/1600983728?pwd=RAD7OLcqre7Ycsp6JfFp6HAnpyLxex.1
Description
We discuss the new derivation of the linear but non-homogeneous evolution equations for the cross sections of productions of n-cut Balitsky--Fadin--Kuraev--Lipatov (BFKL) Pomerons in the final states of high energy DIS on a nucleus, resumming all multiple rescatterings in the leading log approximation. These equations coincide with the equations that have been derived using the Abramovsky--Gribov--Kancheli (AGK) cutting rules but based on the dipole approach to QCD. We then find solutions of these evolution equations using the homotopy approach for the simplified, leading twist BFKL kernel. We also discuss the solutions of the equations in the regime $n\,\gtrsim\,N(z)$, where N(z) is the average multiplicity.