31st International Workshop on Deep Inelastic Scattering

Dipole picture diffractive structure function at NLO

Non programmé

20m

Maison MINATEC, Grenoble, FRANCE

Regular parallel talk WG2: Small-x, Diffraction and Vector Mesons

Orateur

Tuomas Lappi (University of Jyväskylä)

Description

We compute the transverse and longitudinal diffractive structure functions to full next-to-leading order accuracy in the dipole picture of deep inelastic scattering [1]. Our calculation uses the standard light-cone perturbation theory method for the partonic content of the virtual photon, together with the Color Glass Condensate description of the target color field. Our result includes as a subset the $q\overline{q}g$ contribution calculated earlier [2]. We show that there is a rapidity divergence that can be factorized into the BK/JIMWLK evolution of the target Wilson lines, and that all other divergences cancel. We emphasize the robustness of a fixed invariant mass as the definition of the final state, leading to a specific pattern of divergence cancellation between real and virtual contributions. Unlike for jets or identified hadrons, there is no fragmentation function or jet definition to absorb collinear divergences for this inclusive observable.

[1] G. Beuf, T. Lappi, H. Mäntysaari, R. Paatelainen and J. Penttala, to appear [arXiv:2401.nnnnn]
[2] G. Beuf, H. Hänninen, T. Lappi, Y. Mulian and H. Mäntysaari, Phys. Rev. D 106 (2022) no.9, 094014