Andrea Pelloni


Last Name

Pelloni

First Name

Andrea

ORCID

0000-0002-2747-0024

Organisational unit

03773 - Anastasiou, Charalampos / Anastasiou, Charalampos

Filters

2024 - 20253
Reset filters

Search Results

Publications 1 - 3 of 3
  • Four-loop large-n$_f$ contributions to the non-singlet structure functions
    Item type: Conference Paper
    Pelloni, Andrea (2024)
    PoS: Proceedings of Science
    We present the progress in the computation of the unpolarized coefficient functions for Deep inelastic scattering. This computation completes the previous results for F$_{2,L}$ for large-n$_f$ with the computation of the contributions to the charged current F$_3$. This additional structure function has contributions with color factor d$^{abc}$d$_{abc}$, and represents an increase in complexity for the construction of the differential equations used for the generation of the Mellin moments.
  • Four-loop splitting functions in QCD – The quark-to-gluon case
    Item type: Journal Article
    Falcioni, Giulio; Herzog, Franz; Moch, Sven; et al. (2024)
    Physics Letters B
    We present the even-𝑁� moments 𝑁� ≤ 20 of the fourth-order (N³LO) contribution 𝑃�⁽³⁾_gq (𝑥�) to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained by analytically computing off-shell operator matrix elements for a general gauge group, agree with all known results, in particular with the moments 𝑁� ≤ 10 derived before from structure functions in deep-inelastic scattering. Using the new moments and the available endpoint constraints, we construct approximations for 𝑃�⁽³⁾_gq (𝑥�) which improve upon those obtained from the lowest five even moments. The remaining uncertainties of this function are now practically irrelevant at momentum fractions 𝑥� > 0.1. The resulting errors of the convolution of P_gq at N³LO with a typical quark distribution are small at 𝑥� ≳ 10⁻³ and exceed 1% only at 𝑥� ≲ 10⁻⁴ for a strong coupling αs = 0.2. The present results for 𝑃�⁽³⁾_gq (𝑥�) should thus be sufficient for most collider-physics applications.
  • Four-loop splitting functions in QCD – the gluon-gluon case –
    Item type: Journal Article
    Falcioni, Giulio; Herzog, Franz; Moch, Sven; et al. (2025)
    Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    We have computed the even-N moments N≤20 of the gluon-gluon splitting function Pgg at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general compact simple gauge group, agree with all results obtained for this function so far, in particular with the lowest five moments obtained via structure functions in deep-inelastic scattering. Using our new moments and all available endpoint constraints, we construct improved approximations for the four-loop Pgg(x) that should be sufficient for a wide range of collider-physics applications. The N3LO contributions to the scale derivative of the gluon distribution, resulting from these and the corresponding quark-to-gluon splitting functions, amount to 1% or less at [Figure presented] at a standard reference scale with αs=0.2.
Publications 1 - 3 of 3