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The principal purpose of this note is to provide a reconstruction procedure for distributional matrix-valued potential coefficients of Schr\"odinger-type operators on a half-line from the underlying Weyl-Titchmarsh function.

Spectral Theory · Mathematics 2015-03-23 Jonathan Eckhardt , Fritz Gesztesy , Roger Nichols , Alexander Sakhnovich , Gerald Teschl

Integral equations for meson-baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as…

High Energy Physics - Phenomenology · Physics 2020-05-18 X. -L. Ren , E. Epelbaum , J. Gegelia , Ulf-G. Meißner

The scattering matrix was measured for microwave cavities with two antennas. It was analyzed in the regime of overlapping resonances. The theoretical description in terms of a statistical scattering matrix and the rescaled Breit-Wigner…

Chaotic Dynamics · Physics 2009-11-07 R. Schaefer , T. Gorin , T. H. Seligman , H. -J. Stoeckmann

We perform the non-perturbative (quenched) renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and its three-loop matching to QCD. At order 1/m of the expansion, the operator is responsible for the mass splitting…

High Energy Physics - Lattice · Physics 2010-12-13 A. G. Grozin , D. Guazzini , P. Marquard , H. B. Meyer , J. H. Piclum , R. Sommer , M. Steinhauser

We calculate the O(alpha alpha_s) corrections to the relationships between the MS-bar Yukawa couplings and the pole masses of the first five quark flavours in the standard model. We also present the corresponding relationships between the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bernd A. Kniehl , Jan H. Piclum , Matthias Steinhauser

We illustrate the application of the recently developed SCET$_{\rm BSM}$ framework in the context of a specific model, in which the Standard Model (SM) is supplemented by a heavy scalar $S$ and three generations of heavy, vector-like quarks…

High Energy Physics - Phenomenology · Physics 2019-05-22 Stefan Alte , Matthias Koenig , Matthias Neubert

SU(3) symmetry relations between the octet baryons are introduced in order to connect both the unpolarized and polarized quark distributions of the octet baryons with those of the nucleon. Two different parametrizations of the nucleon quark…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bo-Qiang Ma , Ivan Schmidt , Jacques Soffer , Jian-Jun Yang

We carry out the non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector B…

High Energy Physics - Lattice · Physics 2009-04-21 Damiano Guazzini , Harvey B. Meyer , Rainer Sommer

Some key features of the overlap operator with a UV-filtered Wilson kernel are discussed. The first part concerns spectral properties of the underlying shifted hermitean Wilson operator and the relation to the observed speedup of the…

High Energy Physics - Lattice · Physics 2009-11-11 Stephan Durr , Christian Hoelbling , Urs Wenger

The high-energy QCD factorization for Deep Inelastic Scattering and for proton-nucleus collisions using Wilson line formalism and factorization in rapidity is discussed. We show that in DIS the factorization in rapidity reduces to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Giovanni Antonio Chirilli

We present a consistent renormalization of the top and bottom quark/squark sector of the MSSM with complex parameters (cMSSM). Various renormalization schemes are defined, analyzed analytically and tested numerically in the decays Stop_2 ->…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Heinemeyer , H. Rzehak , C. Schappacher

We provide a simple semi-classical formalism to describe the coupling between one or several quantum emitters and a structured environment. Describing the emitter by an electric polarizability, and the surrounding medium by a Green…

Optics · Physics 2019-01-30 Dorian Bouchet , Rémi Carminati

In this paper we calculate the fully differential cross sections for inclusive heavy quark production in deep-inelastic scattering. We construct proper projection operators to give all possible azimuthal angle distributions of the heavy…

High Energy Physics - Phenomenology · Physics 2024-07-25 Qing-Song Chang , Guang-Peng Zhang

Here the multipole approach [13], in combination with the density matrix formalism is used for establishing of the model for MMs with gain. This approach allows us to investigate analytically or semi-analytically the interplay between gain…

Optics · Physics 2013-08-22 A. Chipouline , M. Dobynde , T. Pertsch

To design a uniaxial anisotropic metamaterial a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the layers were in radial direction, here the layers are in azimuthal direction.…

Optics · Physics 2017-10-11 M. R. Forouzeshfard , Masoud Mohebbi , Aliyeh Mollaei

It is shown that the colour dipole approach to hard scattering at high energy is fully compatible with k_T factorization at the leading logarithm approximation (in -log x_Bj). The relations between the dipole amplitudes and unintegrated…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , H. Navelet , R. Peschanski

The relation between the on-shell and $\bar{\rm MS}$ mass can be expressed through scalar and vector part of the quark propagator. In principle these two-point functions have to be evaluated on-shell which is a non-trivial task at…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Steinhauser

We present a first calculation of the heavy flavor contribution to the longitudinally polarized deep-inelastic scattering structure function $g_1^{Q}$, differential in the transverse momentum or the rapidity of the observed heavy quark $Q$…

High Energy Physics - Phenomenology · Physics 2021-08-04 Felix Hekhorn , Marco Stratmann

We present a complete study of the leading-twist quark Wigner distributions in the nucleon, discussing both the $\mathsf T$-even and $\mathsf T$-odd sector, along with all the possible configurations of the quark and nucleon polarizations.…

High Energy Physics - Phenomenology · Physics 2016-03-02 C. Lorcé , B. Pasquini

We study the structure of renormalons in the Heavy Quark Effective Theory, by expanding the heavy quark propagator in powers of $1/m_Q$. We demonstrate that the way in which renormalons appear depends on the regularisation scheme used to…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. Martinelli , M. Neubert , C. T. Sachrajda