Search NASA⌕ Search
Home/Archive/DOE OSTI

DOE OSTI · 3021708

Large-momentum effective theory’s asymptotic extrapolation vs the inverse problem

Chen, Jiunn-Wei [National Taiwan University, Taipei (Taiwan); National Center for Theoretical Science (NCTS), Taipei (Taiwan)] (ORCID:0000000286509371)·Gao, Xiang [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000205674456)·He, Jinchen [University of Maryland, College Park, MD (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)]·Hua, Jun [South China Normal University (SCNU), Guangzhou (China)] (ORCID:0000000291950954)·Ji, Xiangdong [University of Maryland, College Park, MD (United States)]·Schäfer, Andreas [Universität Regensburg; National Taiwan University] (ORCID:0000000311710078)·Su, Yushan [University of Maryland, College Park, MD (United States)] (ORCID:0000000236885803)·Wang, Wei [Shanghai Jiao Tong University (China)] (ORCID:0000000192236472)·Yang, Yi-Bo [Chinese Academy of Sciences (CAS), Beijing (China); University of Chinese Academy of Sciences, Beijing (China); University of Chinese Academy of Sciences, Hangzhou (China); International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), Beijing/Hangzhou (China)]·Zhang, Jian-Hui [The Chinese University of Hong Kong, Ma Liu Shui, Shatin (Hong Kong)] (ORCID:0000000286147323)·Zhang, Qi-An [Beihang University, Beijing (China)] (ORCID:0000000205328473)·Zhang, Rui [Argonne National Laboratory (ANL), Argonne, IL (United States)]·Zhao, Yong [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000226886415)
View original source ↗Read source document ↗Export metadata ↓

Abstract

Large-momentum effective theory is a physics-guided systematic expansion to calculate light-cone parton distributions, including collinear (PDFs) and transverse-momentum-dependent ones, at any fixed momentum fraction 𝑥 within a range of [𝑥 min , 𝑥 max ]. It theoretically solves the ill-posed inverse problem that afflicts other theoretical approaches to collinear PDFs, such as short-distance factorizations. Recently, Dutrieux et al. raised practical concerns about whether current or even future lattice data will have sufficient precision in the subasymptotic correlation region to support an error-controlled extrapolation—and if not, whether it becomes an inverse problem where the relevant uncertainties cannot be properly quantified. While we agree that not all current lattice data have the desired precision to qualify for an asymptotic extrapolation, some calculations do, and more are expected in the future. We comment on the analysis and results in Dutrieux et al. and argue that a physics-based systematic extrapolation still provides the most reliable error estimates, even when the data quality is not ideal. In contrast, reframing the long-distance asymptotic extrapolation as a data-driven-only inverse problem with ad hoc mathematical conditioning could lead to unnecessarily conservative errors.

Explore related subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Chen, Jiunn-Wei [National Taiwan University, Taipei (Taiwan); National Center for Theoretical Science (NCTS), Taipei (Taiwan)] (ORCID:0000000286509371), Gao, Xiang [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000205674456), He, Jinchen [University of Maryland, College Park, MD (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)], Hua, Jun [South China Normal University (SCNU), Guangzhou (China)] (ORCID:0000000291950954), Ji, Xiangdong [University of Maryland, College Park, MD (United States)], Schäfer, Andreas [Universität Regensburg; National Taiwan University] (ORCID:0000000311710078), Su, Yushan [University of Maryland, College Park, MD (United States)] (ORCID:0000000236885803), Wang, Wei [Shanghai Jiao Tong University (China)] (ORCID:0000000192236472), Yang, Yi-Bo [Chinese Academy of Sciences (CAS), Beijing (China); University of Chinese Academy of Sciences, Beijing (China); University of Chinese Academy of Sciences, Hangzhou (China); International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), Beijing/Hangzhou (China)], Zhang, Jian-Hui [The Chinese University of Hong Kong, Ma Liu Shui, Shatin (Hong Kong)] (ORCID:0000000286147323), Zhang, Qi-An [Beihang University, Beijing (China)] (ORCID:0000000205328473), Zhang, Rui [Argonne National Laboratory (ANL), Argonne, IL (United States)], Zhao, Yong [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000226886415). 2026-01-28. Large-momentum effective theory’s asymptotic extrapolation vs the inverse problem. https://doi.org/10.1103/fflw-qpcc

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related reports

DOE OSTI2026

Design-informed neutronics assessment of long-lived fission product transmutation in a tokamak fusion reactor blanket

This study presents a neutronics-based assessment of the feasibility and viability of transmuting six major long-lived fission products (LLFPs) from light-water reactors, namely 99 Tc, 129 I, 79 Se, 93 Zr, 126 Sn, and 135 Cs, within the blanket region of a tokamak fusion reactor, using the MIT ARC design as a concrete fusion configuration. Monte Carlo neutronics simulations were performed to evaluate LLFP transmutation and to compare the results with a reference boiling water reactor (BWR). The results indicate that transmutation of all six LLFPs is neutronics-feasible in fusion reactors, with transmutation half-lives significantly shorter than their natural decay half-lives. For elemental targets, transmutation of 135 Cs, 126 Sn, and 93 Zr was found potentially viable, as the net mass transmuted exceeded that achievable in the reference BWR under identical target volume and irradiation time. When isotopically separated targets were considered, transmutation of 126 Sn and 93 Zr appeared potentially viable. A parametric study demonstrated that plasma geometry modifications can enhance local neutron flux, increasing the transmuted 93 Zr mass by approximately 33% and reducing the transmutation half-life from approximately 240 years to 180 years. Repositioning the target and adjusting material layer thickness reduced the transmutation half-life of 93 Zr to 67 years and increased the net mass transmuted by a factor of 50. Furthermore, these results demonstrate that fusion reactors can enable LLFP transmutation beyond the practical limits of thermal fission reactors and highlight the critical role of reactor and blanket design optimization. Engineering and fuel-cycle considerations required for deployment are beyond the scope of this neutronics-focused study.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗
DOE OSTI2026

A hybrid Monte Carlo-deterministic second moment method with efficient variance reduction

In this work, we present a hybrid method that combines Monte Carlo with deterministic finite element methods to solve a linear Boltzmann transport equation. Our hybrid method runs orders of magnitude faster than Monte Carlo, without sacrificing accuracy, for a proxy problem from radiative transfer that contains both optically-thick and optically-thin material. We believe that this is the first demonstration of a hybrid Second Moment Method in more than one spatial dimension, the first to consider more than one material, and the first to use variance reduction. Our variance reduction approach arises from an asymptotic analysis in which we show that the magnitude of the scattering source grows without bound. We transform the problem to compute the deviation of the radiation intensity from isotropy. The magnitude of the source in the transformed problem is bounded, and the quality of the hybrid method solution is dramatically improved by a substantial reduction in the variance.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗