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Related papers: Theoretical aspects of $D^0-\bar{D}^0$ mixing

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We study local quark-hadron duality and its violation for the $D^0-\bar{D}^0$, $B^0_d-\bar{B}^0_d$ and $B^0_s-\bar{B}^0_s$ mixings in the 't Hooft model, offering a laboratory to test QCD in two-dimensional spacetime together with the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Hiroyuki Umeeda

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a laboratory for exploring various aspects of the heavy quark expansions in the nonleptonic and semileptonic decays of heavy flavors. We perform a…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bigi , M. Shifman , N. Uraltsev , A. Vainshtein

It is usually argued that the Standard Model predicts slow D^0-\bar D^0 oscillations with \Delta M_D, \Delta \Gamma_D < 10^{-3}*\Gamma_D$ and that New Physics can reveal itself through \Delta M_D exceeding 10^{-3}*\Gamma_D. It is believed…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ikaros Bigi , Nikolai Uraltsev

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

The operator product expansion (OPE) for heavy-light-quark pseudoscalar mesons (D-mesons and B-mesons) in medium is determined, both for a moving meson with respect to the surrounding medium as well as for a meson at rest. First of all, the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

We address nonperturbative power corrections to inclusive decay widths of heavy flavor hadrons in the context of the 't Hooft model (two-dimensional QCD at N_c->oo), with the emphasis on the spectator-dependent effects sensitive to the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ikaros Bigi , Nikolai Uraltsev

Theoretical predictions for the $D^0\overline{D^0}$ mixing parameters fall significantly short of experimental measurements, with discrepancies spanning several orders of magnitude. This gap is mainly due to the Glashow-Iliopoulos-Maiani…

High Energy Physics - Phenomenology · Physics 2025-08-25 Lovro Dulibić , Blaženka Melić , Alexey A. Petrov

The D^0-D^0(bar) mixing is analyzed in a weak gauged U(4)_L x U(4)_R chiral lagrangian model where the electroweak interaction is introduced as a gauge theory over the meson degrees of freedom. This model allows a particular realization of…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Amoros , F. J. Botella , S. Noguera , J. Portoles

Local quark-hadron duality violations in conventional applications of the operator product expansion are proposed to have their origin in the fact that the QCD vacuum or a hadronic state is not only characterized by nonvanishing expectation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

I give an introduction to the theory of preasymptotic effects based on the systematic OPE/HQET expansion in $1/m_Q$ where $m_Q$ is the heavy quark mass. The general idea is explained in two most instructive examples, with an emphasis on…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. A. Shifman

We analyse $\Delta C=2$ transitions in the framework of a minimal extension of the Standard Model where either a $Q=2/3$ or a $Q=-1/3$ isosinglet quark is added to the standard quark spectrum. In the case of a $Q=2/3$ isosinglet quark, it…

High Energy Physics - Phenomenology · Physics 2010-11-01 G. C. Branco , P. A. Parada , M. N. Rebelo

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a testground for calculations of nonleptonic and semileptonic inclusive widths of heavy flavors based on the operator product expansion (OPE). The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arkady Vainshtein

In this paper, we evaluate the expectation values of four-quark operators for the inclusive beauty decays from the differences in the inclusive total decay rates, assuming that the heavy quark expansion converges at $O(1/m^3)$. The obtained…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Arunagiri

We develop a systematic framework for exclusive rare B decays of the type B -> K(*)l+l- at large dilepton invariant mass q^2. It is based on an operator product expansion (OPE) for the required matrix elements of the nonleptonic weak…

High Energy Physics - Phenomenology · Physics 2015-05-27 M. Beylich , G. Buchalla , Th. Feldmann

We study lifetimes of heavy mesons in the 't Hooft model, a large-$N_c$ theory of strong interaction in two-dimensional spacetime. Since this model is solvable, one can evaluate the total decay widths through hadronic amplitudes that are…

High Energy Physics - Phenomenology · Physics 2021-12-29 Hiroyuki Umeeda

We provide a comprehensive, up-to-date analysis of possible New Physics contributions to the mass difference $\Delta M_D$ in $D^0$-${\bar D}^0$ mixing. We consider the most general low energy effective Hamiltonian and include leading order…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eugene Golowich , JoAnne Hewett , Sandip Pakvasa , Alexey A. Petrov

We re-visit the problem of non-perturbative contribution to the mass difference in D0-D0bar mixing within the Standard Model (SM). There are two known approaches to take this contribution into account. In the long long-distance approach one…

High Energy Physics - Phenomenology · Physics 2012-09-11 Gagik Yeghiyan

The operator product expansion (OPE), truncated in dimension, is employed in many contexts. An example is the extraction of the strong coupling, $\alpha_s$, from hadronic $\tau$-decay data, using a variety of analysis methods based on…

High Energy Physics - Phenomenology · Physics 2019-10-16 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

Pauli Interference in decays of heavy flavor mesons, a genuinely nonleptonic nonperturbative effect, is considered in the 't Hooft model. Analytic summation of the exclusive decay widths yields the same expression as obtained in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ikaros Bigi , Nikolai Uraltsev

A significant discrepancy, spanning multiple orders of magnitude, exists between the leading order contribution to the $D^0\overline{D^0}$ mixing parameters and experimental values. This is largely due to the Glashow-Iliopoulos-Maiani (GIM)…

High Energy Physics - Phenomenology · Physics 2024-10-29 Lovro Dulibić , Blaženka Melić , Alexey A. Petrov
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