Bayesian constraint of the initial condition for the Balitsky-Kovchegov equation at NLO

Carlisle Casuga; Henri Hänninen; Heikki Mäntysaari

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arXiv · 2511.01394

Bayesian constraint of the initial condition for the Balitsky-Kovchegov equation at NLO

Carlisle Casuga·Henri Hänninen·Heikki Mäntysaari

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Abstract

We use Bayesian inference to constrain the parameters describing the initial amplitude input to the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy against precise HERA total inclusive cross section and heavy quark data. The datasets are found to provide stringent constraints and, with consistent NLO treatment, a successful description of the data is obtained. The posterior distributions define the theoretical uncertainites that surround the non-perturbative initial condition and, thus, provide a way to propagate said uncertainties to CGC calculations at NLO.

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Carlisle Casuga, Henri Hänninen, Heikki Mäntysaari. 2025-11-03. Bayesian constraint of the initial condition for the Balitsky-Kovchegov equation at NLO. https://arxiv.org/abs/2511.01394

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