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The QCD factorization approach provides the theoretical basis for a systematic analysis of nonleptonic decay amplitudes of B mesons in the heavy-quark limit. After recalling the basic ideas underlying this formalism, several tests of QCD…

高能物理 - 唯象学 · 物理学 2010-11-23 Matthias Neubert

We consider the pertubative consistency of inflationary models with features with effective field theory methods. By estimating the size of one-loop contributions to the three-point function, we find the energy scale where their…

宇宙学与河外天体物理 · 物理学 2014-07-02 Dario Cannone , Nicola Bartolo , Sabino Matarrese

We are concerned with the dimension reduction analysis for thin three-dimensional elastic films, prestrained via Riemannian metrics with weak curvatures. For the prestrain inducing the incompatible version of the F\"oppl-von K\'arm\'an…

偏微分方程分析 · 数学 2021-04-07 Silvia Jimenez Bolanos , Marta Lewicka

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

数学物理 · 物理学 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

Let $ T _{P} f (x) = \int e ^{i P (y)} K (y) f (x-y) \, dy $, where $ K (y)$ is a smooth Calder\'on-Zygmund kernel on $ \mathbb R ^{n}$, and $ P$ be a polynomial. The maximal truncations of $ T_P$ satisfy the weak $ L ^{1}$ inequality, our…

经典分析与常微分方程 · 数学 2016-08-09 Michael T. Lacey

We calculate the branching ratio and $CP$ violations for $B\to K\pi$ decays in a modified perturbative QCD approach based on $k_{T}$ factorization. The resummation effect of the transverse momentum regulates the endpoint singularity. Using…

高能物理 - 唯象学 · 物理学 2023-07-26 Ru-Xuan Wang , Mao-Zhi Yang

Using Fourier analysis, we study local limit theorems in weak-convergence problems. Among many applications, we discuss random matrix theory, some probabilistic models in number theory, the winding number of complex brownian motion and the…

概率论 · 数学 2011-08-01 Freddy Delbaen , Emmanuel Kowalski , Ashkan Nikeghbali

We study non-compact scaling limits of uniform random planar quadrangulations with a boundary when their size tends to infinity. Depending on the asymptotic behavior of the boundary size and the choice of the scaling factor, we observe…

概率论 · 数学 2016-08-04 Erich Baur , Grégory Miermont , Gourab Ray

I compare collinear and $k_T$ factorization theorems in perturbative QCD, and discuss their application to exclusive $B$ meson decays. Especially, I concentrate on the recently measured time-dependent CP asymmetry of the…

高能物理 - 唯象学 · 物理学 2007-05-23 Hsiang-nan Li

We present a model for the decay $D^+\to K^-\pi^+\pi^+$. The weak interaction part of this reaction is described using the effective weak Hamiltonian in the factorisation approach. Hadronic final state interactions are taken into account…

高能物理 - 唯象学 · 物理学 2014-11-20 D. R. Boito , R. Escribano

Well-known causality arguments show that events occurring during or at the end of inflation, associated with reheating or preheating, could contribute a blue component to the spectrum of primordial curvature perturbations, with the…

天体物理学 · 物理学 2010-03-23 Loison Hoi , James M. Cline

We obtain a remainder estimate for the truncated Taylor expansion for differential equations driven by weakly geometric $\Pi $-rough paths for $\Pi =\left( p_{1},\cdots ,p_{k}\right) $, $p_{i}\geq 1$. When there exists $ p\geq 1$ such that…

经典分析与常微分方程 · 数学 2023-01-20 Danyu Yang

We investigate a new 8-dimensional Riemannian geometry defined by a generic closed and coclosed 3-form with stabiliser PSU(3), and which arises as a critical point of Hitchin's variational principle. We give a Riemannian characterisation of…

微分几何 · 数学 2010-12-30 Frederik Witt

We study the reactions $K \rightarrow \pi \pi \nu \overline{\nu}$ within the minimal standard model. We use isospin symmetry to relate the matrix elements to the form factors measured in $K_{\ell 4}$. We argue that these modes are short…

高能物理 - 唯象学 · 物理学 2009-10-28 L. S. Littenberg , G. Valencia

We study the formation of singularities for the Euler-Alignment system with influence function $\psi=\frac{k_\alpha}{|x|^\alpha}$ in 1D. As in [20] the problem is reduced to the analysis of a nonlocal 1D equation. We show the existence of…

偏微分方程分析 · 数学 2019-11-21 Victor Arnaiz , Ángel Castro

We study the unknown coupling constants that appear at order $p^4$ in the Chiral Perturbation Theory analysis of $K \to \pi \gamma^* \to \pi l^+ l^-$, $K^{+-} \to \pi^{+-} \gamma \gamma$ and $K \to \pi \pi \gamma$ decays. To that end, we…

高能物理 - 唯象学 · 物理学 2008-11-26 C. Bruno , J. Prades

Usually, B->pi+pi- decays are expressed in terms of weak amplitudes explicitly dependent on the CKM weak phase alpha or gamma. In this letter, we show that the weak amplitudes can be rewritten such that a manifest dependence on beta emerges…

高能物理 - 唯象学 · 物理学 2009-11-05 Patricia Ball , Aoife Bharucha

Motivated by recent measurements, we investigate $B\to \pi \pi, K \pi$ decay modes in the framework of QCD improved factorization, which was recently proposed by Beneke $et al$. We find that all the measured branching ratios are well…

高能物理 - 唯象学 · 物理学 2009-10-31 Taizo Muta , Akio Sugamoto , Mao-Zhi Yang , Ya-Dong Yang

The anomalous processes, \gamma \to 3 \pi and \gamma \pi \to \pi\pi, are investigated within the Dyson-Schwinger framework using the rainbow-ladder approximation. Calculations reveal that a complete set of ladder diagrams beyond the impulse…

核理论 · 物理学 2016-09-08 Stephen R. Cotanch , Pieter Maris

The non-Fermi liquid physics at the edge of fractional quantum Hall systems is described by specific chiral Conformal Field Theories with central charge c=1. The charged quasi-particles in these theories have fractional charge and obey a…

介观与纳米尺度物理 · 物理学 2008-11-26 R. A. J. van Elburg , K. Schoutens