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It is shown that a 4D N=1 softly broken supersymmetric theory with higher derivative operators in the Kahler or the superpotential part of the Lagrangian and with an otherwise arbitrary superpotential, can be re-formulated as a theory…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. M. Ghilencea

We study the high-energy behavior of the elastic scattering amplitude using two distinct unitarization schemes: the eikonal and the $U$-matrix. Our analysis begins with a formalism involving solely Pomerons, incorporating pion-loop…

High Energy Physics - Phenomenology · Physics 2024-10-10 M. Maneyro , E. G. S. Luna , M. Peláez

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous…

High Energy Physics - Theory · Physics 2023-06-28 Andrea Guerrieri , Harish Murali , Joao Penedones , Pedro Vieira

The amplitude A(s,t) for ultra-high energy scattering can be found in the leading eikonal approximation by considering propagation in an Aichelburg-Sexl gravitational shockwave background. Loop corrections in the QFT describing the…

High Energy Physics - Theory · Physics 2016-05-25 Timothy J. Hollowood , Graham M. Shore

Without any mechanism to protect its mass, the self-energy of the Higgs boson diverges quadratically, leading to the hierarchy or fine-tuning problem. One bottom-up solution is to postulate some yet-to-be-discovered symmetry which forces…

High Energy Physics - Phenomenology · Physics 2020-10-28 Ambalika Biswas , Anirban Kundu , Poulami Mondal

Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the…

Quantum Physics · Physics 2024-03-25 Daniel R. DeSena , Brian C. Tiburzi

Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular…

High Energy Physics - Theory · Physics 2025-05-23 Hao Xu , Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou

We give a new sufficient condition for existence and completeness of wave operators in abstract scattering theory. This condition generalises both trace class and smooth approaches to scattering theory. Our construction is based on…

Spectral Theory · Mathematics 2012-11-29 Alexander Pushnitski , Alexander Volberg

A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D $\mathrm{U}(1)$ gauge theory these…

High Energy Physics - Lattice · Physics 2022-11-28 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. J. Wiese

A number of recent references have pointed out that an N-particle system having short-range interactions at S-wave and/or P-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close…

High Energy Physics - Phenomenology · Physics 2025-09-10 Michael D. Higgins , J. Golak , R. Skibinski , K. Topolnicki , H. Witala , H. Kamada , Chris H. Greene

An ordinary differential operator of the fourth order with coefficients converging at infinity sufficiently rapidly to constant limits is considered. Scattering theory for this operator is developed in terms of special solutions of the…

Spectral Theory · Mathematics 2008-02-05 D. R. Yafaev

In the presence of extended defects, familiar incoming particles can scatter into exotic outgoing states created by twist operators. We show that one possible mechanism driving these "categorical scattering" processes is the presence of…

High Energy Physics - Theory · Physics 2026-05-15 Andrea Antinucci , Christian Copetti , Giovanni Galati , Giovanni Rizi

We study the energy critical wave equation in 3 dimensions around a single soliton. We obtain energy boundedness (modulo unstable modes) for the linearised problem. We use this to construct scattering solutions in a neighbourhood of…

Analysis of PDEs · Mathematics 2024-03-22 Istvan Kadar

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density…

High Energy Physics - Phenomenology · Physics 2009-09-02 Alan Kostelecky , Matthew Mewes

Precision studies of scattering processes at colliders provide powerful indirect constraints on new physics. We study the helicity structure of scattering amplitudes in the SM and in the context of an effective Lagrangian description of BSM…

High Energy Physics - Phenomenology · Physics 2017-03-29 Aleksandr Azatov , Roberto Contino , Camila S. Machado , Francesco Riva

We study scattering for the linear Helmholtz operator in two dimensions and develop a technique, which can be used to ascertain scattering of a given incident wave from very regular inhomogeneities. This technique is then applied to a…

Analysis of PDEs · Mathematics 2025-07-21 Narek Hovsepyan , Michael S. Vogelius

In this work manifestations of physics beyond the Standard Model are parameterized with higher-dimension operators and Wilson coefficients using effective field theory. In order to set more stringent experimental limits on the Wilson…

High Energy Physics - Phenomenology · Physics 2024-05-07 Artur E. Semushin , Evgeny Yu. Soldatov

In this study, potential scatterings are formulated in experimental setups with Gaussian wave packets in accordance with a probability principle and associativity of products. A breaking of an associativity is observed in scalar products…

Quantum Physics · Physics 2024-08-06 Kenzo Ishikawa

We show that the Flatte formula is not adequate to interpret precision data on a resonance production near an inelastic threshold. A unitary parameterization, satisfying generalized Watson's theorem for the production amplitudes, is…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Lesniak

In the Unitarity Limit, the NN S-wave binding energies are zero, the scattering lengths infinite, Physics is universal, i.e. insensitive to details of the interactions, and observables display richer symmetries, namely invariance under both…

Nuclear Theory · Physics 2025-05-19 Harald W. Griesshammer