Transverse momentum broadening from NLL BFKL to all orders in pQCD

20 Jun 2023, 14:40
20m
Aud. 3 (H.C. Ørsted)

Aud. 3

H.C. Ørsted

Oral Physics at low-x and gluon saturation Parallel Session 2

Speaker

Dr Yacine Mehtar-Tani (Brookhaven National Laboratory)

Description

We study, to all orders in perturbative QCD, the universal asymptotic behavior of the saturation momentum $Q_s(L)$ controlling the transverse momentum distribution of a fast parton propagating through a dense QCD medium with large size $L$. Due to the double logarithmic nature of the quantum evolution of the saturation momentum, its large $L$ asymptotics is obtained by slightly departing from the double logarithmic limit of either next-to-leading log (NLL) BFKL or leading order DGLAP evolution equations. At fixed coupling, or in conformal N=4 SYM theory, we derive the large $L$ expansion of $Q_s(L)$ up to order $\alpha_s^{3/2}$. In QCD with massless quarks, where conformal symmetry is broken by the running of the strong coupling constant, the one-loop QCD $\beta$-function fully accounts for the universal terms in the $Q_s(L)$ expansion. Therefore, the universal coefficients of this series are known exactly to all orders in $\alpha_s$.

What kind of work does this abstract pertain to? Theoretical
Which experiment is this abstract related to? Other

Primary author

Dr Paul Caucal (Brookhaven National Laboratory)

Co-author

Dr Yacine Mehtar-Tani (Brookhaven National Laboratory)

Presentation materials