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In this paper, we give probabilistic interpretations of both, the forward and the inverse problem of electrical impedance tomography with possibly anisotropic, merely measurable conductivities: Using the theory of symmetric Dirichlet…

Analysis of PDEs · Mathematics 2014-03-17 Petteri Piiroinen , Martin Simon

We present preliminary results on the determination of spin-dependent, or polarised, Parton Distribution Functions (PDFs) from all relevant inclusive polarised DIS data. The analysis is performed within the NNPDF approach, which provides a…

High Energy Physics - Phenomenology · Physics 2012-06-26 Emanuele R. Nocera , Stefano Forte , Giovanni Ridolfi , Juan Rojo

This paper investigates the inverse problem of determining a general Signorini obstacle using boundary measurements. We demonstrate that both the shape of the obstacle and the obstacle function can be uniquely determined from solution…

Analysis of PDEs · Mathematics 2026-05-15 Ziyao Zhao

The collinear factorization at twist-3 for Drell-Yan processes is studied with the motivation to solve the discrepancy in literature about the single spin asymmetry in the lepton angular distribution, and to show how QCD gauge invariance is…

High Energy Physics - Phenomenology · Physics 2015-06-22 J. P. Ma , G. P. Zhang

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We discuss the sensitivity of theoretical predictions of observables used in searches for new physics to parton distributions (PDFs) at large momentum fraction $x$. Specifically, we consider the neutral-current Drell-Yan production of gauge…

High Energy Physics - Phenomenology · Physics 2023-01-18 Richard D. Ball , Alessandro Candido , Stefano Forte , Felix Hekhorn , Emanuele R. Nocera , Juan Rojo , Christopher Schwan

In addition to the gauge charges, a new charge degree of freedom is found in the deconfined phase in the lattice Ising gauge theory. While applying to the hydrogen-bonded ferroelectrics, the new charge is essentially the electric charge,…

Strongly Correlated Electrons · Physics 2018-07-04 Bo-Jie Huang , Chyh-Hong Chern

We consider pure traction problems and we show that incompressible linearized elasticity can be obtained as variational limit of incompressible finite elasticity under suitable conditions on external loads.

Analysis of PDEs · Mathematics 2020-06-01 Edoardo Mainini , Danilo Percivale

We carry out an explicit calculation of the vacuum polarization tensor for an effective low-energy model of monolayer graphene in the presence of a weak magnetic field of intensity $B$ perpendicularly aligned to the membrane. By expanding…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 David Valenzuela , Saúl Hernández-Ortiz , Marcelo Loewe , Alfredo Raya

We study the cross section \sigma and Forward-Backward asymmetry A_{FB} in the process pp \to \gamma^*,Z \to \ell^+\ell^- (with \ell=e,\mu) for determinations of Parton Distribution Functions (PDFs) of the proton. We show that, once mapped…

High Energy Physics - Phenomenology · Physics 2019-03-19 E. Accomando , J. Fiaschi , F. Hautmann , S. Moretti

The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the…

High Energy Physics - Phenomenology · Physics 2011-02-07 I. O. Cherednikov

An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interactions, or with next-nearest-neighbor z-z interactions, and other…

Statistical Mechanics · Physics 2025-03-11 Kazuhiko Minami

We analyze fringe formation within Michelson-like experiments as viewed by relativistic inertial observers. Our analysis differs from previous work because we include optical misalignment of the beamsplitter of the interferometer due to the…

Optics · Physics 2014-06-10 Robert A. Woodruff

We present a theory to obtain the pressure tensor for a class of non-ideal multicomponent lattice Boltzmann models, thus extending the theory presented by Shan (X. Shan, Phys. Rev. E 77, 066702 (2008)) for single component fluids. We obtain…

Statistical Mechanics · Physics 2014-02-20 M. Sbragaglia , D. Belardinelli

Recently a series of new measurements with both the neutral and charge current Drell--Yan processes have been performed at hadron colliders, showing deviations from the predictions of the current parton distribution functions (PDFs). In…

High Energy Physics - Phenomenology · Physics 2025-12-09 Zihan Zhao , Minghui Liu , Liang Han

We investigate the passivity constraints on the relations between transmission, reflection, and absorption eigenvalues in linear time-invariant systems. Using techniques from matrix analysis, we derive necessary and sufficient conditions…

Optics · Physics 2024-10-08 Cheng Guo , Shanhui Fan

We calculate the cross section for the inclusive production of single hadrons with finite transverse momenta in deep-inelastic scattering at next-to-leading order (NLO), i.e. through O(alpha_s^2), in the parton model of QCD endowed with…

High Energy Physics - Phenomenology · Physics 2010-11-05 B. A. Kniehl , G. Kramer , M. Maniatis

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD…

High Energy Physics - Phenomenology · Physics 2022-08-22 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We critically examine uncertainties in parton distribution functions (PDFs) at large x arising from nuclear effects in deuterium F2 structure function data. Within a global PDF analysis, we assess the impact on the PDFs from uncertainties…

High Energy Physics - Phenomenology · Physics 2011-08-17 A. Accardi , W. Melnitchouk , J. F. Owens , M. E. Christy , C. E. Keppel , L. Zhu , J. G. Morfin

It is shown that general dilepton angular distribution (with parity violating terms taking into account) in vector particle decays can be described through a set of five SO(3) rotational-invariant observables. These observables are derived…

High Energy Physics - Phenomenology · Physics 2019-05-01 Margarita Gavrilova , Oleg Teryaev