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APFEL: A PDF Evolution Library with QED corrections
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Quantum electrodynamics and electroweak corrections are important ingredients for many theoretical predictions at the LHC. This paper documents APFEL, a new PDF evolution package that allows for the first time to perform DGLAP evolution up to NNLO in QCD and to LO in QED, in the variable-flavor-number scheme and with either pole or MSbar heavy quark masses. APFEL consistently accounts for the QED corrections to the evolution of quark and gluon PDFs and for the contribution from the photon PDF in the proton. The coupled QCD+QED equations are solved in x-space by means of higher order interpolation, followed by Runge-Kutta solution of the resulting discretized evolution equations. APFEL is based on an innovative and flexible methodology for the sequential solution of the QCD and QED evolution equations and their combination. In addition to PDF evolution, APFEL provides a module that computes Deep-Inelastic Scattering structure functions in the FONLL general-mass variable-flavor-number scheme up to O($\alpha_s^2$). All the functionalities of APFEL can be accessed via a Graphical User Interface, supplemented with a variety of plotting tools for PDFs, parton luminosities and structure functions. Written in Fortran 77, APFEL can also be used via the C/C++ and Python interfaces, and is publicly available from the HepForge repository.
Forward citations
Cited by 9 Pith papers
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Reconstructing the full kinematic dependence of GPDs from pseudo-distributions
Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double d...
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TMDs in the Lens of Generative AI: A Pixel-Based Approach to Partonic Imaging
A nonparametric pixel-based Bayesian method integrates TMD evolution with generative AI sampling and SVD to extract parton distributions and identify unconstrained null components from multi-scale observables.
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TMDs in the Lens of Generative AI: A Pixel-Based Approach to Partonic Imaging
A nonparametric pixel-based Bayesian method integrates TMD evolution with generative AI and SVD to image parton distributions and reveal null TMDs unconstrained by observables.
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First next-to-next-to-leading-order extraction of fragmentation functions for Lambda hyperons
First NNLO global extraction of Lambda hyperon fragmentation functions from SIA and SIDIS data via neural-network parametrization.
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The one-point charge correlator in deep inelastic scattering
Defines an IRC-safe one-point charge correlator in DIS, relates it to a new nucleon charge correlator in the forward limit and to TMDs in the back-to-back limit, with SCET derivations verified in QCD to O(alpha_s^2) a...
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Implementation of DIS at N$^3$LO for PDF determination
N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.
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All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective
The authors construct and publicly release the TQ4Q2.0 fragmentation functions for all-heavy S-wave tetraquarks via NRQCD factorization, extending prior work with nonconstituent contributions and replica-based uncertainties.
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Efficient interpolation and evolution of parton distribution functions
A Chebyshev interpolation method for efficient numerical evolution of PDFs and DPDs via DGLAP equations at NNLO with flavor matching and independent scales for DPDs.
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Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.
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