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The scattering matrix for the full-line matrix Schr\"odinger equation is analyzed when the corresponding matrix-valued potential is selfadjoint, integrable, and has a finite first moment. The matrix-valued potential is decomposed into a…

Mathematical Physics · Physics 2023-04-06 Tuncay Aktosun , Ricardo Weder

Scattering of matter waves through slits has been explored using the Feynman Path Integral formalism. We explicitly plot the near-zero probability densities to analyse the behaviour near the slit. Upon doing so, intriguing patterns emerge,…

Quantum Physics · Physics 2022-10-21 Hardeep Singh , A. Bhagwat

The applicability of the background field method in spontaneously broken gauge theories is examined with new features emphasized. An explicit one loop analysis in the electroweak theory shows that the method can be consistently implemented…

High Energy Physics - Phenomenology · Physics 2009-09-25 Xiaoyuan Li , Yi Liao

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

This paper studies the electroweak production of all possible four-fermion states in $e^+e^-$ collisions with non-standard triple gauge boson couplings. All $CP$ conserving couplings are considered. It is an extension of the methods and…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. A. Berends , A. I. van Sighem

The electroweak production processes of vector bosons, $e^+ e^- \rightarrow Z \gamma$, $\gamma e \rightarrow Ze$, and $\gamma e \rightarrow W \nu$ are considered simultaneousely and in the Standard model the covariant polarization density…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. S. Shim , S. W. Baek , H. S. Song

Inspired by self-adjoint extensions of the electric field operator in the Hamiltonian formalism, we extend the Wilsonian framework of Abelian lattice gauge theory by introducing a modified action parameterized by an angle $\alpha$, where…

High Energy Physics - Lattice · Physics 2025-04-24 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. -J. Wiese

This paper is concerned with the inverse elastic scattering problem to determine the shape and location of an elastic cavity. By establishing a one-to-one correspondence between the Herglotz wave function and its kernel, we introduce the…

Numerical Analysis · Mathematics 2024-09-17 Shuxin Li , Junliang Lv , Yi Wang

We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in…

High Energy Physics - Phenomenology · Physics 2023-07-28 Bin Wu

The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

Vector boson scattering is a well known probe of electroweak symmetry breaking. Here we study a related process of two electroweak vector bosons scattering into a vector boson and a Higgs boson ($VV \rightarrow Vh, V=W,Z$). This process…

High Energy Physics - Phenomenology · Physics 2020-09-09 Daniel Stolarski , Yongcheng Wu

We present a factorization framework that takes into account the production of heavy quarks through gluon splitting in the thrust distribution for e+ e- --> hadrons. The explicit factorization theorems and some numerical results are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Andre H. Hoang , Vicent Mateu , Piotr Pietrulewicz

We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the…

High Energy Physics - Theory · Physics 2011-05-05 A. Fring , R. Köberle

Soft-Collinear Effective Theory (SCET) has been formulated since a decade now in covariant gauges. In this work we derive a modified SCET Lagrangian applicable in both classes of gauges: regular and singular ones. This extends the range of…

High Energy Physics - Phenomenology · Physics 2011-08-08 Miguel Garcia-Echevarria , Ahmad Idilbi , Ignazio Scimemi

We generalize the factorization method for inverse medium scattering using a particular factorization of the difference of two far field operators. Whilst the factorization method been used so far mainly to identify the shape of a…

Analysis of PDEs · Mathematics 2016-08-05 Evgeny Lakshtanov , Armin Lechleiter

Mixing effects in the MSSM Higgs sector can give rise to a sizeable interference between the neutral Higgs bosons. On the other hand, factorising a more complicated process into production and decay parts by means of the narrow-width…

High Energy Physics - Phenomenology · Physics 2014-11-20 Elina Fuchs

With the elements of the Doplicher, Fredenhagen and Roberts (DFR) noncommutative formalism, we have constructed the standard electroweak model. To accomplish this task we have begun with the WM-product basis group of symmetry. We have…

High Energy Physics - Theory · Physics 2016-05-18 M. J. Neves , Everton M. C. Abreu

We review soft-collinear effective theory (SCET), and apply it to discuss quark electromagnetic form factor, then present the resumed transverse momentum distribution of Higgs-boson production via gluon fusion under this framework, where we…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yang Gao , Chong Sheng Li , Jian Jun Liu

The Higgs discovery has given us the Higgs-gauge sector as a new handle to search for physics beyond the Standard Model. This includes physics scenarios originally linked to massive gauge boson scattering at high energies. We investigate…

High Energy Physics - Phenomenology · Physics 2014-10-01 Johann Brehmer , Joerg Jaeckel , Tilman Plehn

An electroweak model in which the masses of the W and Z bosons and the fermions are generated by quantum loop graphs through a symmetry breaking is investigated. The model is based on a regularized quantum field theory in which the quantum…

High Energy Physics - Phenomenology · Physics 2010-02-12 J. W. Moffat , V. T. Toth
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