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In this comment, we reassess the underlying physics of the number sum rule for dihadron fragmentation functions. We will argue that, currently, there are no settled constraints on what constitutes a valid number density interpretation for…

High Energy Physics - Phenomenology · Physics 2024-04-04 T. Rogers , A. Courtoy

We make several comments on the recent work in Ref.~\cite{Rogers:2024nhb} while also reaffirming and adding to the work in Ref.~\cite{Pitonyak:2023gjx}. We show that the factorization formula for $e^+e^-\to (h_1\cdots h_n)\, X$ in…

High Energy Physics - Phenomenology · Physics 2025-08-06 D. Pitonyak , C. Cocuzza , A. Metz , A. Prokudin , N. Sato

We consider dihadron fragmentation functions, describing the fragmentation of a parton in two unpolarized hadrons, and in particular extended dihadron fragmentation functions, explicitly dependent on the invariant mass, $M_h$, of the hadron…

High Energy Physics - Phenomenology · Physics 2008-11-26 Federico A. Ceccopieri , Marco Radici , Alessandro Bacchetta

Dihadron fragmentation functions describe the probability that a quark fragments into two hadrons plus other undetected hadrons. In particular, the so-called interference fragmentation functions describe the azimuthal asymmetry of the…

High Energy Physics - Phenomenology · Physics 2011-09-08 A. Courtoy , A. Bacchetta , M. Radici

Dihadron beam spin asymmetries provide a wide range of insights into nucleon structure and hadronization. Recent measurements at CLAS12 provide the first empirical evidence of nonzero $G_1^\perp$, the parton helicity-dependent dihadron…

High Energy Physics - Experiment · Physics 2022-02-07 Christopher Dilks

Important aspects of QCD factorization theorems are the properties of the objects involved that can be identified as universal. One example is that the definitions of parton densities and fragmentation functions for different types of…

High Energy Physics - Phenomenology · Physics 2024-12-18 T. C. Rogers , M. Radici , A. Courtoy , T. Rainaldi

We report on the extraction of dihadron fragmentation functions (DiFF) from the semiinclusive production of two hadron pairs in back-to-back jets in e+e- annihilation. A nonzero asymmetry in the correlation of azimuthal orientations of…

High Energy Physics - Phenomenology · Physics 2012-06-11 A. Courtoy , Alessandro Bacchetta , Marco Radici

We investigate a density-functional theory (DFT) approach for an unpolarized trapped dilute Fermi gas in the unitary limit . A reformulation of the recent work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the language of…

Other Condensed Matter · Physics 2009-11-11 Brandon P. van Zyl , D. A. W. Hutchinson , Melodie Need

Density functional theory (DFT) has transformed our ability to investigate and understand electronic ground states. In its original formulation, however, DFT is not suited to addressing (e.g.) degenerate ground states, mixed states with…

Chemical Physics · Physics 2025-10-30 Tim Gould , Leeor Kronik , Stefano Pittalis

We develop a method in which the electronic densities of small fragments determined by Kohn-Sham density functional theory (DFT) are embedded using stochastic DFT to form the exact density of the full system. The new method preserves the…

Chemical Physics · Physics 2015-06-19 Daniel Neuhauser , Roi Baer , Eran Rabani

We estimate the unpolarized dihadron fragmentation functions (uDiFFs) within the framework of the single-cascade jet algorithm. We first obtain the elementary fragmentation functions generating the single hadron fragmentation functions by…

High Energy Physics - Phenomenology · Physics 2020-01-01 Dong Jing Yang , Chung Wen Kao , Seung-il Nam

We present a new extraction of unpolarized Dihadron Fragmentation Functions, which describe the probability density for an unpolarized parton to fragment into a $\pi^+ \pi^-$ pair. Our analysis is based on data from the BELLE collaboration.…

High Energy Physics - Phenomenology · Physics 2025-09-16 Virgile Mahaut , Luca Polano , Alessandro Bacchetta , Valerio Bertone , Matteo Cerutti , Marco Radici , Lorenzo Rossi

The standard (``fine-grained'') interpretation of quantum density functional theory, in which densities are specified with infinitely-fine spatial resolution, is mathematically unruly. Here, a coarse-grained version of DFT, featuring…

Mathematical Physics · Physics 2015-05-13 Paul E. Lammert

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better…

Nuclear Theory · Physics 2015-12-23 N. Schunck , J. D. McDonnell , D. Higdon , J. Sarich , S. M. Wild

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

We point out a problem with the formulation and derivations of sum rules for quark fragmentation functions that impacts their validity in QCD, but which potentially points toward an improved understanding of final states in inclusive hard…

High Energy Physics - Phenomenology · Physics 2024-01-17 John Collins , Ted Rogers

Spherical density functional theory (DFT) is a reformulation of the classic theorems of DFT, in which the role of the total density of a many-electron system is replaced by a set of sphericalized densities, constructed by…

Chemical Physics · Physics 2025-11-17 Sol Samuels , Chance M. Baxter , Susan R. Atlas

We perform a simultaneous global analysis of hadron fragmentation functions (FFs) to various charged hadrons at next-to-leading order in QCD. The world data set includes results from electron-positron single-inclusive annihilation,…

High Energy Physics - Phenomenology · Physics 2024-07-02 Jun Gao , ChongYang Liu , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao

The fragmentation of a colored parton directly into a pair of colorless hadrons is a non-perturbative mechanism that offers important insights into the nucleon structure. Di-hadron fragmentation functions can be extracted from…

High Energy Physics - Phenomenology · Physics 2016-07-20 Silvia Pisano , Marco Radici
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