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We propose an effectively nonperturbative approach to calculating scattering amplitudes in the perturbative regime. We do this in a discretized momentum space by using the QSE method to calculate all the contributions (to all orders in…

高能物理 - 唯象学 · 物理学 2018-07-20 Neil Christensen , Joshua Henderson , Santiago Pinto , Cory Russ

We calculate the relativistic six-meson scattering amplitude at low energy within the framework of QCD-like theories with $n$ degenerate quark flavors at next-to-leading order in the chiral counting. We discuss the cases of complex, real…

高能物理 - 唯象学 · 物理学 2022-09-27 Johan Bijnens , Tomáš Husek , Mattias Sjö

We study the axion and axion-like particle production from the $\eta\to\pi\pi a$ decay within the $SU(3)$ chiral perturbation theory up to the one-loop level. The conventional $SU(3)$ chiral low energy constants are found to be able to…

高能物理 - 唯象学 · 物理学 2024-03-26 Jin-Bao Wang , Zhi-Hui Guo , Zhun Lu , Hai-Qing Zhou

The inverse-amplitude method is applied to the one-loop chiral expansion of the pion, kaon, and $K_{l3}$ form factors. Since these form factors are determined by the same chiral low-energy constants, it is possible to obtain finite…

高能物理 - 唯象学 · 物理学 2014-11-17 Torben Hannah

Permutational Quantum Computing (PQC) [\emph{Quantum~Info.~Comput.}, \textbf{10}, 470--497, (2010)] is a natural quantum computational model conjectured to capture non-classical aspects of quantum computation. An argument backing this…

量子物理 · 物理学 2018-08-15 Vojtech Havlicek , Sergii Strelchuk

We use one-loop $\SU(2)_L\times \SU(2)_R$ chiral perturbation theory ($\SU(2)$ ChPT) to study the behaviour of the form-factors for semileptonic $K\to\pi$ decays with the pion mass at $q^2=0$ and at $q^2_{\textrm{max}}=(m_K-m_\pi)^2$, where…

高能物理 - 唯象学 · 物理学 2009-02-12 J. M. Flynn , C. T. Sachrajda

We report on our one-loop calculation of all the two meson scattering amplitudes within SU(3) Chiral Perturbation Theory, i.e. with pions, kaons and etas. Once the amplitudes are unitarized with the coupled channel Inverse Amplitude Method,…

高能物理 - 唯象学 · 物理学 2009-11-07 J. R. Pelaez , A. Gomez Nicola

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to…

高能物理 - 唯象学 · 物理学 2009-10-31 Arnold Roessl

Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) Chiral Perturbation Theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Dobado , J. R. Pelaez

Machine learning technology has the potential to dramatically optimise event generation and simulations. We continue to investigate the use of neural networks to approximate matrix elements for high-multiplicity scattering processes. We…

高能物理 - 唯象学 · 物理学 2021-09-01 Joseph Aylett-Bullock , Simon Badger , Ryan Moodie

A way to efficiently compute helicity amplitudes for arbitrary tree-level scattering processes in QCD is presented. The scattering amplitude is evaluated recursively through a set of Dyson-Schwinger equations. The computational cost of this…

高能物理 - 唯象学 · 物理学 2009-11-11 Costas G. Papadopoulos , Malgorzata Worek

We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on a combination of unitarized chiral perturbation theory and…

高能物理 - 唯象学 · 物理学 2021-04-28 Yu-Ji Shi , Chien-Yeah Seng , Feng-Kun Guo , Bastian Kubis , Ulf-G. Meißner , Wei Wang

We present a quantum mechanical model with an infinite number of (discrete) degrees of freedom, which can serve as a laboratory for multiparticle production in a collision. There is a cubic coupling between modes without, however, any…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Goldberg , M. T. Vaughn

The inverse amplitude method is used to unitarize the two loop $\pi\pi$ scattering amplitudes of SU(2) Chiral Perturbation Theory in the $I=0,J=0$, $I=1,J=1$ and $I=2,J=0$ channels. An error analysis in terms of the low energy one-loop…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Nieves , M. Pavon Valderrama , E. Ruiz Arriola

We study Compton scattering in systems with A=1 and 2 using chiral perturbation theory up to fourth order. For the proton we fit the two undetermined parameters in the O(Q^4) $\gamma$p amplitude of McGovern to experimental data in the…

核理论 · 物理学 2009-04-17 S. R. Beane , M. Malheiro , J. A. McGovern , D. R. Phillips , U. van Kolck

We compare the linear meson model and chiral perturbation theory in next to leading order in the quark mass expansion. In particular, we compute the couplings L_4--L_8 of chiral perturbation theory as functions of the parameters of the…

高能物理 - 唯象学 · 物理学 2011-09-13 Dirk-U. Jungnickel , C. Wetterich

We develop and test methods that include second and third-order perturbation theory (MP3) using orbitals obtained from regularized orbital-optimized second-order perturbation theory, $\kappa$-OOMP2, denoted as MP3:$\kappa$-OOMP2. Testing…

化学物理 · 物理学 2019-10-15 Luke W. Bertels , Joonho Lee , Martin Head-Gordon

New approach to computing the amplitudes of multi-particle processes in renormalizable quantum field theories is presented. Its major feature is a separation of the renormalization from the computation. Within the suggested approach new…

高能物理 - 理论 · 物理学 2014-12-17 Victor Kim , Grigorii Pivovarov

A new method of calculation of amplitudes of different processes in quantum electrodynamics is proposed. The method does not use the Feynman technique of trace of product of matrices calculation. The method strongly simplifies calculation…

高能物理 - 唯象学 · 物理学 2015-06-05 Kostyantyn Karplyuk , Oleksandr Zhmudsky

The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the…

高能物理 - 唯象学 · 物理学 2011-02-15 J. J. Sanz-Cillero