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We compute the distance-dependent three-point function of general planar maps and of bipartite planar maps, i.e., the generating function of these maps with three marked vertices at prescribed pairwise distances. Explicit expressions are…

Combinatorics · Mathematics 2015-07-21 Éric Fusy , Emmanuel Guitter

Fragmentation functions represent a key ingredient to address the proton spin structure in semi-inclusive deep-inelastic scattering and proton-proton collisions. They can not be determined from perturbative Quantum Chromodynamics and have…

High Energy Physics - Experiment · Physics 2022-03-02 Nour Makke

Decays of unstable heavy particles usually involve the coherent sum of several amplitudes, like in a multiple slit experiment. Dedicated amplitude analysis techniques have been widely used to resolve these amplitudes for better…

High Energy Physics - Phenomenology · Physics 2023-11-01 Yuanning Gao , Tianze Rong , Zhenwei Yang , Chenjia Zhang , Yanxi Zhang

Evaluation of the angular distribution function of particles scattered in an amorphous medium is improved by deforming the integration path in the Fourier integral representation into the complex plane. That allows us to present the…

High Energy Physics - Phenomenology · Physics 2016-03-23 M. V. Bondarenco

We develop a theoretical description of Coulomb interactions between trions (charged excitons) that define a nonlinear optical response in doped two-dimensional semiconductors. First, we formulate a microscopic theory of trion-trion…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Kok Wee Song , Salvatore Chiavazzo , Ivan A. Shelykh , Oleksandr Kyriienko

The process in which a photon splits into three after the collision with a free electron (triple Compton effect) is the most basic process for the generation of a high-energy multi-particle entangled state composed out of elementary quanta.…

Quantum Physics · Physics 2012-06-11 E. Lötstedt , U. D. Jentschura

A general formalism for double and triple spin-correlations of the reaction NN -> DeltaN is developed for the case of collinear kinematics. A complete polarization experiment allowing to reconstruct all of the four amplitudes describing…

Nuclear Theory · Physics 2008-11-26 Yu. N. Uzikov , J. Haidenbauer

A summary is given of how spin enters in collinearly factorizing processes. Next, theoretical aspects of polarization in processes beyond collinear factorization are discussed in more detail, with special focus on recent developments…

High Energy Physics - Phenomenology · Physics 2017-08-23 Daniel Boer

Theoretical approaches to QED scattering in strong fields typically treat the field as a fixed background with simple spacetime dependence, such as a plane wave. Two major challenges are therefore the inclusion of backreaction (e.g.…

High Energy Physics - Phenomenology · Physics 2025-06-17 Tim Adamo , Anton Ilderton

We argue that the collinear factorization of the fragmentation functions in high energy hadron and nuclei collisions breaks down at transverse momenta kT < Qs/g due to high parton densities in the colliding hadrons and/or nuclei. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yang Li , Kirill Tuchin

In the spectral theory of non-self-adjoint operators there is a well-known operation of product of operator colligations. Many similar operations appear in the theory of infinite-dimensional groups as multiplications of double cosets. We…

Functional Analysis · Mathematics 2012-11-27 Yury A. Neretin

We summarize recent results on the evolution of unpolarized parton densities and deep-inelastic structure functions in massless perturbative QCD. Due to last year's extension of the integer-moment calculations of the three-loop splitting…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. L. van Neerven , A. Vogt

We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the…

High Energy Physics - Lattice · Physics 2021-04-26 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

Three different characterizations of one-component bounded analytic functions are provided. The first one is related to the the inner-outer factorization, the second one is in terms of the size of the reproducing kernels in the…

Complex Variables · Mathematics 2022-06-07 Carlo Bellavita , Artur Nicolau

To identify some way to measure the quark transversity, this thesis analyzes one-particle and two-particle inclusive deep inelastic scattering, where one and two of the outgoing hadrons are detected in coincidence with the electron. It is…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. Bacchetta

Heavy quark fragmenting jet functions describe the fragmentation of a parton into a jet containing a heavy quark, carrying a fraction of the jet momentum. They are two-scale objects, sensitive to the heavy quark mass, $m_Q$, and to a jet…

High Energy Physics - Phenomenology · Physics 2015-06-18 Christian W. Bauer , Emanuele Mereghetti

There are three types of fragmentation functions (FFs) which are used to describe the twist-3 cross sections of the hard semi-inclusive processes under QCD collinear factorization, and they are called intrinsic, kinematical, and dynamical…

High Energy Physics - Phenomenology · Physics 2023-12-01 Qin-Tao Song

We present a new procedure using on-shell recursion to determine coefficients of integral functions appearing in one-loop scattering amplitudes of gauge theories, including QCD. With this procedure, coefficients of integrals, including…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We extend some definitions and give new results about the theory of slice analysis in several quaternionic variables. The sets of slice functions which are respectively slice, slice regular and circular w.r.t. given variables are…

Complex Variables · Mathematics 2024-11-12 Giulio Binosi

A model-independent analysis of decays of the form C -> l+ l- A (l=e,mu) is presented, including the possibility that this three-body decay is preceded by an additional decay step D -> j C. Here A, C and D are heavy new-physics particles…

High Energy Physics - Phenomenology · Physics 2012-07-25 Chien-Yi Chen , A. Freitas