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This paper investigates the initial-boundary value problem for weakly coupled systems of time-fractional subdiffusion equations with spatially and temporally varying coupling coefficients. By combining the energy method with the coercivity…

Analysis of PDEs · Mathematics 2025-10-16 Zhiyuan Li , Yikan Liu , Kazuma Wada

The calculation of the long-distance contribution to the $K^0-\bar{K}^0$ mass matrix is divided into three parts: First, the calculation of the matrix element between kaon states of the product of two space-time integrated, $\Delta S=1$,…

High Energy Physics - Lattice · Physics 2010-12-30 Norman H. Christ

We calculate the light pseudoscalar decay constants, f_pi and f_K, and their ratio using domain wall valence quarks and 2+1 flavors of dynamical staggered quarks. Use of the MILC gauge configurations allows us to simulate at several sea…

High Energy Physics - Lattice · Physics 2010-01-21 Christopher Aubin , Jack Laiho , Ruth S. Van de Water

In this article, we calculate the strong coupling constant $g_{\Delta N\pi}$ and study the strong decay $\Delta^{++} \to p\pi$ with the light-cone QCD sum rules. The numerical value of the strong coupling constant $g_{\Delta N\pi}$ is…

High Energy Physics - Phenomenology · Physics 2008-12-18 Zhi-Gang Wang

We compute the ratio of pseudoscalar decay constants f_K/f_pi using domain-wall valence quarks and rooted improved Kogut-Susskind sea quarks. By employing continuum chiral perturbation theory, we extract the Gasser-Leutwyler low-energy…

High Energy Physics - Lattice · Physics 2008-11-26 S. R. Beane , P. F. Bedaque , K. Orginos , M. J. Savage

The B --> pi ell nu weak decay form factors are calculated via light-cone sum rules within the framework of the heavy quark effective theory. We calculate the leading and the relevant sub-leading universal form factors. Our results are…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. G. Korner , Chun Liu , Chi-Tau Yan

We analyze data on $B\to K\mu^+\mu^-$ and $B\to K^*\mu^+\mu^-$ decays in the whole dilepton invariant mass spectrum with the aim of disentangling short- vs. long-distance contributions. The sizable long-distance amplitudes from $c \bar{c}$…

High Energy Physics - Phenomenology · Physics 2024-05-08 Marzia Bordone , Gino isidori , Sandro Mächler , Arianna Tinari

We use the chiral quark model to estimate the coefficients of the weak chiral lagrangian as obtained from the bosonization of the ten relevant operators of the $\Delta S = 1$ effective quark lagrangian. All contributions of order $N_c^2$ as…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Antonelli , S. Bertolini , J. O. Eeg , M. Fabbrichesi , E. I. Lashin

The coupling constants of the order $p^2$ low-energy weak effective lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix elements, choosing degenerate quark masses for the first of these. However, for typical values of…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman , Elisabetta Pallante

After a pedagogical introduction to the calculation of weak matrix elements on the lattice, I review some of the lattice's most recent predictions concerning the weak decays of $B$-mesons. Amongst the topics covered are the determinations…

High Energy Physics - Phenomenology · Physics 2009-03-20 Laurent Lellouch

We calculate long distance contributions to $K\to\pi\nu\bar{\nu}\,,\ \pi\pi\nu\bar{\nu}$, and $\pi\pi\pi\nu\bar{\nu}$ modes within the framework of chiral perturbation theory. We find that these contributions to decay rates of $K\to…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. Q. Geng , I. J. Hsu , Y. C. Lin

Weak transition form factors among heavy pseudoscalar mesons are investigated within a relativistic quark model formulated on the light-front. It is shown that the light-front result derived in the time-like region for the matrix elements…

High Energy Physics - Phenomenology · Physics 2008-02-03 N. B. Demchuk , I. L. Grach , I. M. Narodetski , S. Simula

Calculations of pseudoscalar decay constants of B, Bs, K and pi mesons with physical light quarks are presented. We use HISQ ensembles that include u,d,s and c sea quarks at three lattice spacings. HISQ is used for the valence light quarks…

High Energy Physics - Lattice · Physics 2013-09-19 R. J. Dowdall , C. T. H. Davies , R. R. Horgan , G. P. Lepage , C. McNeile , C. J. Monahan , J. Shigemitsu

The decays K_{L,S} -> \pi^o \pi^o \nu \bar{\nu} and K_{L,S} -> \pi^+ \pi^- \nu \bar{\nu} involve the weak transition from a strange to a non-strange quark. Although they have considerably smaller branching ratios than those for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cheng-Wei Chiang , Frederick J. Gilman

We present a calculation of the low energy constants describing the real and imaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$. Leading and next leading order chiral perturbation theory is used and its applicability…

High Energy Physics - Lattice · Physics 2010-01-21 Shu Li , Norman H. Christ

This review contains an overview of strong interaction effects in weak decays starting with a historical introduction. It contains a short overview of semileptonic decays and their relevance for measuring CKM matrix elements. The main part…

High Energy Physics - Phenomenology · Physics 2016-11-23 Johan Bijnens

We review the physics of purely leptonic decays of $\pi^\pm$, $K^\pm$, $D^{\pm}$, $D_s^\pm$, and $B^\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of…

High Energy Physics - Experiment · Physics 2012-01-26 Jonathan L. Rosner , Sheldon Stone

We review the physics of purely leptonic decays of $\pi^\pm$, $K^\pm$, $D^{\pm}$, $D_s^\pm$, and $B^\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of…

High Energy Physics - Phenomenology · Physics 2016-03-10 Jonathan L. Rosner , Sheldon Stone , Ruth S. Van de Water

The $K\to\pi\pi$ system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the $|\Delta S|=1$ case to the matrix-elements calculated in a low-energy approximation in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Bijnens , Joaquim Prades

The strong $D_{2}^{*}(2460)^{0}\rightarrow D^+ \pi^- $ and $D_{s2}^{*}(2573)^{+}\rightarrow D^{+} K^{0}$ transitions are analyzed via three point QCD sum rules. First, we calculate the corresponding strong coupling constants $g_{D_2^*D\pi}$…

High Energy Physics - Phenomenology · Physics 2014-09-29 K. Azizi , Y. Sarac , H. Sundu