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We explore the performance of a recently-introduced $N^5$-scaling excited-state-specific second order perturbation theory (ESMP2) on the singlet excitations of the Thiel benchmarking set. We find that, without regularization, ESMP2 is quite…

Electron correlation in finite and extended systems is often described in an effective single-particle framework within the $GW$ approximation. Here, we use the statically screened second-order exchange contribution to the self-energy…

化学物理 · 物理学 2022-03-18 Arno Förster , Lucas Visscher

Perturbative QCD with nf flavours of massless quarks becomes simple in the hypothetical limit nf -> 16.5, where the leading beta-function coefficient vanishes. The Banks-Zaks (BZ) expansion in a0=(8/321)(16.5-nf) is straightforward to…

高能物理 - 唯象学 · 物理学 2016-08-24 P. M. Stevenson

We develop an improved stochastic formalism for the Bethe-Salpeter equation, based on an exact separation of the effective-interaction $W$ to two parts, $W=(W-v_W)+v_W$ where the latter is formally any translationally-invariant interaction…

化学物理 · 物理学 2023-05-03 Nadine C. Bradbury , Tucker Allen , Minh Nguyen , Khaled Ibrahim , Daniel Neuhauser

We revisit the extraction of $\alpha_s(M_\tau^2)$ from the QCDperturbative corrections to the hadronic $\tau$ branching ratio, using an improved fixed-order perturbation theory based on the explicit summation of all renormalization-group…

高能物理 - 唯象学 · 物理学 2012-05-22 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

化学物理 · 物理学 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

In this work, we introduce a unifying Bregman-based majorization-minimization (MM) framework for solving nonconvex nonsmooth optimization problems. The proposed approach leverages Bregman divergences, possibly varying across iterations, to…

最优化与控制 · 数学 2026-04-15 Maxence Adly , Alix Chazottes , Emilie Chouzenoux , Jean-Christophe Pesquet , Florent Sureau

We investigate the $B$ anomalies in the framework of the nonminimal universal extra dimension models. Newly measured polarization parameters in $B\to D^{(*)}\tau\nu$, $P_\tau(D^{(*)})$ and $F_L(D^*)$ as well as the ratios $R(D^{(*)})$ are…

高能物理 - 唯象学 · 物理学 2019-10-09 Jong-Phil Lee

We analyze space-time finite element methods for the numerical solution of distributed parabolic optimal control problems with energy regularization in the Bochner space $L^2(0,T;H^{-1}(\Omega))$. By duality, the related norm can be…

数值分析 · 数学 2020-04-22 Ulrich Langer , Olaf Steinbach , Fredi Tröltzsch , Huidong Yang

New physics contributions to B_s-\bar{B}_s mixing can be parametrized by the size (r_s^2) and the phase (2\theta_s) of the total mixing amplitude relative to the Standard Model amplitude. The phase has so far been unconstrained. We first…

高能物理 - 唯象学 · 物理学 2011-03-23 Yuval Grossman , Yosef Nir , Guy Raz

We present the prediction of the electroweak $\rho$ parameter and the $W$ boson mass in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) at the two-loop order. The $\rho$ parameter is calculated at the…

高能物理 - 唯象学 · 物理学 2023-08-09 Thi Nhung Dao , Martin Gabelmann , M. Margarete Mühlleitner

A regularization algorithm (AR1pGN) for unconstrained nonlinear minimization is considered, which uses a model consisting of a Taylor expansion of arbitrary degree and regularization term involving a possibly non-smooth norm. It is shown…

最优化与控制 · 数学 2021-05-31 Serge Gratton , Philippe L. Toint

The random-phase approximation with second-order screened exchange (RPA+SOSEX) is a model of electron correlation energy with two caveats: its accuracy depends on an arbitrary choice of mean field, and it scales as $\mathcal{O}(n^5)$…

材料科学 · 物理学 2014-01-16 Jonathan E. Moussa

The numerical cost of variational methods suggests using perturbative approaches to determine the electronic structure of molecular systems. In this work, a sequential construction of effective Hamiltonians drives the definition of…

化学物理 · 物理学 2024-08-30 Oussama Bindech , Bastien Valentin , Saad Yalouz , Vincent Robert

The measured $B_d \to \pi^0\pi^0$ branching fraction deviates significantly from conventional QCD predictions, a puzzle which has persisted for more than 10 years. This may be a hint of new physics beyond the Standard Model; however, as we…

高能物理 - 唯象学 · 物理学 2015-07-28 Cong-Feng Qiao , Rui-Lin Zhu , Xing-Gang Wu , Stanley J. Brodsky

Brillouin-Mandelstam scattering is one of the most accessible nonlinear optical phenomena and has been widely studied since its theoretical discovery one hundred years ago. The scattering mechanism is a three-wave-mixing process between two…

With a transcorrelated Hamiltonian, we perform a many body perturbation (MBPT) calculation on the uniform electron gas in the high density regime. By using a correlation factor optimised for a single determinant Jastrow ansatz, the second…

计算物理 · 物理学 2024-06-19 Hongjun Luo , Ali Alavi

In a previous work it was shown that the inclusion of exact exchange is essential for a first principles description of both the electronic- and the vibrational properties of TiSe$_2$, M. Hellgren et al. [Phys. Rev. Lett. 119, 176401…

材料科学 · 物理学 2021-02-03 Maria Hellgren , Lucas Baguet , Matteo Calandra , Francesco Mauri , Ludger Wirtz

Mean field (MF) approximation offers a simple, fast way to infer direct interactions between elements in a network of correlated variables, a common, computationally challenging problem with practical applications in fields ranging from…

定量方法 · 定量生物学 2014-11-11 J. P. Barton , S. Cocco , E. De Leonardis , R. Monasson

We present domain-based local pair natural orbital M{\o}ller--Plesset second order perturbation theory (DLPNO-MP2) with Born--von K{\'a}rm{\'a}n boundary (BvK) conditions. The approach is based on well-localised Wannier functions in a LCAO…

化学物理 · 物理学 2025-07-15 Arman Nejad , Andrew Zhu , Kesha Sorathia , David P. Tew