An FONLL prescription with coexisting flavor number PDFs

Barontini, Andrea; Candido, Alessandro; Hekhorn, Felix; Magni, Giacomo; Stegeman, Roy

doi:10.1007/jhep10(2024)004

J. High Energ. Phys.

2024

DOI: 10.1007/jhep10(2024)004

|View full text |Cite

An FONLL prescription with coexisting flavor number PDFs

Andrea Barontini,

Alessandro Candido,

Felix Hekhorn

et al.

Abstract: We present a new prescription to account for heavy quark mass effects in the determination of parton distribution functions (PDFs) based on the FONLL scheme. Our prescription makes explicit use of the freedom to choose the number of active flavors at a given scale and, thus, use coexisting PDFs with different active flavor number. This new prescription is perturbatively equivalent to the former but improves the implementation in two ways. First, it can be naturally generalized to account simultaneously for mul… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

General mass variable flavor number scheme for Z boson production in association with a heavy quark at hadron colliders

Guzzi,

Nadolsky,

Reina

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

We present a methodology to streamline implementation of massive-quark radiative contributions in calculations with a variable number of active partons in proton-proton collisions. The methodology introduces and heavy-quark parton distribution functions (PDFs) to implement calculations in the Aivazis–Collins–Olness–Tung (ACOT) factorization scheme and its simplified realization in various processes up to the next-to-the-next-to-leading order in the QCD coupling strength. Interpolation tables for bottom-quark subtraction and residual distributions for CT18 NLO and NNLO PDF ensembles are provided in the common LHAPDF6 format. A numerical calculation of Z-boson production with at least one b jet at the Large Hadron Collider beyond the lowest order in QCD is considered for illustration purposes. Published by the American Physical Society 2024

show abstract

General mass variable flavor number scheme for Z boson production in association with a heavy quark at hadron colliders

Guzzi,

Nadolsky,

Reina

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

The path to $$\hbox {N}^3\hbox {LO}$$ parton distributions

Ball,

Barontini,

Candido

et al. 2024

Eur. Phys. J. C

View full text Add to dashboard Cite

We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order ($$\hbox {aN}^3\hbox {LO}$$ aN 3 LO ). We construct an approximation to the $$\hbox {N}^3\hbox {LO}$$ N 3 LO splitting functions that includes all available partial information from both fixed-order computations and from small and large x resummation, and estimate the uncertainty on this approximation by varying the set of basis functions used to construct the approximation. We include known $$\hbox {N}^3\hbox {LO}$$ N 3 LO corrections to deep-inelastic scattering structure functions and extend the FONLL general-mass scheme to $$\mathcal {O}\left( \alpha _s^3\right) $$ O α s 3 accuracy. We determine a set of $$\hbox {aN}^3\hbox {LO}$$ aN 3 LO PDFs by accounting both for the uncertainty on splitting functions due to the incomplete knowledge of $$\hbox {N}^3\hbox {LO}$$ N 3 LO terms, and to the uncertainty related to missing higher corrections (MHOU), estimated by scale variation, through a theory covariance matrix formalism. We assess the perturbative stability of the resulting PDFs, we study the impact of MHOUs on them, and we compare our results to the $$\hbox {aN}^3\hbox {LO}$$ aN 3 LO PDFs from the MSHT group. We examine the phenomenological impact of $$\hbox {aN}^3\hbox {LO}$$ aN 3 LO corrections on parton luminosities at the LHC, and give a first assessment of the impact of $$\hbox {aN}^3\hbox {LO}$$ aN 3 LO PDFs on the Higgs and Drell–Yan total production cross-sections. We find that the $$\hbox {aN}^3\hbox {LO}$$ aN 3 LO NNPDF4.0 PDFs are consistent within uncertainties with their NNLO counterparts, that they improve the description of the global dataset and the perturbative convergence of Higgs and Drell–Yan cross-sections, and that MHOUs on PDFs decrease substantially with the increase of perturbative order.

show abstract

Yadism: yet another deep-inelastic scattering module

Candido,

Hekhorn,

Magni

et al. 2024

Eur. Phys. J. C

View full text Add to dashboard Cite

We present , a library for the evaluation of both polarized and unpolarized deep-inelastic scattering (DIS) structure functions and cross sections up to N$$^{3}$$ 3 LO in perturbative QCD. The package provides computations of observables in fixed-flavor and zero-mass variable flavor number schemes. The implementation of the general mass variable flavor number schemes is supported through the high virtuality limits for the heavy flavor coefficients. In addition, provides a set of tools for the generation of interpolation grids in the PDF-independent format, allowing to test the PDF dependence on any DIS observable without needing to rerun the computation. This work is part of an ongoing effort to standardize the format of theory predictions in high-energy physics within the framework. The code is open source, written in and documented to facilitate usage, integrations, and further extensions. Finally, the code has been benchmarked against the widely used and libraries.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

An FONLL prescription with coexisting flavor number PDFs

Cited by 3 publications

References 57 publications

General mass variable flavor number scheme for Z boson production in association with a heavy quark at hadron colliders

General mass variable flavor number scheme for Z boson production in association with a heavy quark at hadron colliders

The path to $$\hbox {N}^3\hbox {LO}$$ parton distributions

Yadism: yet another deep-inelastic scattering module

Contact Info

Product

Resources

About