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I summarize the status of the $\Delta I=1/2$ rule in $K\to\pi\pi$ decays within an {\it analytic} approach based on the dual representation of QCD as a theory of weakly interacting mesons for large $N$, where $N$ is the number of colours.…

High Energy Physics - Phenomenology · Physics 2014-10-08 Andrzej J. Buras

We calculate for the first time all four-quark hadronic matrix elements of local operators possibly contributing to $K\to\pi\pi$ decays and in particular to the ratio $\epsilon'/\epsilon$ beyond the Standard Model (BSM). To this end we use…

High Energy Physics - Phenomenology · Physics 2019-02-20 Jason Aebischer , Andrzej J. Buras , Jean-Marc Gerard

We calculate BSM hadronic matrix elements for $K^0-\bar K^0$ mixing in the Dual QCD approach (DQCD). The ETM, SWME and RBC-UKQCD lattice collaborations find the matrix elements of the BSM density-density operators $\mathcal{O}_i$ with…

High Energy Physics - Phenomenology · Physics 2019-03-27 Andrzej J. Buras , Jean-Marc Gerard

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

We address numerical aspects of local quark-hadron duality using the example of the exactly solvable 't Hooft model, two-dimensional QCD with N_c --> infinity. The primary focus of these studies is total semileptonic decay widths relevant…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard F. Lebed , Nikolai G. Uraltsev

We consider the ratios of doubly heavy baryon masses using Double Ratios of Sum Rules (DRSR), which are more accurate than the usual simple ratios used for getting hadron masses. Our results are comparable with the ones from potential…

High Energy Physics - Phenomenology · Physics 2011-02-15 R. M. Albuquerque , S. Narison

Using special linear combinations of finite energy sum rules which minimize the contribution of the unknown continuum spectral function, we compute the decay constants of the pseudoscalar mesons B and B_s. In the computation, we employ the…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Bordes , J. Peñarrocha , K. Schilcher

We construct a leading-order effective field theory for both scalar and axial-vector heavy diquarks, and consider its power expansion in the heavy diquark limit. By assuming the transition from QCD to diquark effective theory, we derive the…

High Energy Physics - Phenomenology · Physics 2020-05-15 Yu-Ji Shi , Wei Wang , Zhen-Xing Zhao , Ulf-G. Meißner

The large mass limit of QCD uncovers symmetries that are not present in the QCD lagrangian. These symmetries have been applied to physical (finite mass) systems, such as B and D mesons. We explore the validity of this approximation in the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Benjamin Grinstein , Paul F. Mende

We present an effective field theory for doubly heavy baryons that goes beyond the compact heavy diquark approximation. The heavy-quark distance $r$ is only restricted to $m_Q\gg 1/r \gg E_{bin}$, where $m_Q$ is the mass of the heavy quark…

High Energy Physics - Phenomenology · Physics 2021-09-15 Joan Soto , Jaume Tarrús Castellà

We present arguments regarding diquarks possible role in low-energy hadron phenomenology that escaped theorists' attention so far. Good diquarks, i.e. the $0^{+}$ states of two quarks, are argued to have a two-component structure with one…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Shifman , A. Vainshtein

We present for the first time a model-independent anatomy of the ratio $\varepsilon'/\varepsilon$ in the context of the $\Delta S = 1$ effective theory with operators invariant under QCD and QED and in the context of the Standard Model…

High Energy Physics - Phenomenology · Physics 2019-08-08 Jason Aebischer , Christoph Bobeth , Andrzej J. Buras , David M. Straub

The charmless bottom meson decays are systematically investigated based on an approximate six quark operator effective Hamiltonian from perturbative QCD. It is shown that within this framework the naive QCD factorization method provides a…

High Energy Physics - Phenomenology · Physics 2010-02-26 Fang Su , Yue-Liang Wu , Yi-Bo Yang , Ci Zhuang

Double beta decays are rare nuclear processes that can occur in two modes: two-neutrino double beta decay, observed in the Standard Model, and neutrinoless double beta decay, a hypothetical process with profound implications for Particle…

High Energy Physics - Lattice · Physics 2023-12-04 Saurabh V. Kadam

Kaon flavour physics has played in the 1960s and 1970s a very important role in the construction of the Standard Model (SM) and in the 1980s and 1990s in SM tests with the help of CP violation in $K_L\to\pi\pi$ decays represented by…

High Energy Physics - Phenomenology · Physics 2018-08-01 Andrzej J. Buras

Recently CDF and D0 collaborations observed several bottom baryons. In this work we perform a systematic study of the masses of bottom baryons up to $1/m_Q$ in the framework of heavy quark effective field theory (HQET) using the QCD sum…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiang Liu , Hua-Xing Chen , Yan-Rui Liu , Atsushi Hosaka , Shi-Lin Zhu

We compute the nonleptonic weak decay width of a heavy-light meson in 1+1 spacetime dimensions with a large number of QCD colors (the 't Hooft model) as a function of the heavy quark mass. In this limit, QCD is exactly soluble, and decay…

High Energy Physics - Phenomenology · Physics 2009-10-30 Benjamin Grinstein , Richard F. Lebed

In this work we use the heavy-quark-light-diquark picture to study the semileptonic decay $\Lambda_b \to \Lambda_c+l+\bar{\nu}_l$ in the so-called hybrid scheme. Namely, we apply the heavy quark effective theory (HQET) for larger $q^2$…

High Energy Physics - Phenomenology · Physics 2008-11-26 Peng Guo , Hong-Wei Ke , Xue-Qian Li , Cai-Dian Lu , Yu-Ming Wang

We consider (for the first time) the ratios of doubly heavy baryon masses (spin 3/2 over spin 1/2 and SU(3) mass-splittings) using double ratios of sum rules (DRSR), which are more accurate than the usual simple ratios often used in the…

High Energy Physics - Phenomenology · Physics 2014-11-21 R. M. Albuquerque , S. Narison

We use the QCD sum rule approach to calculate the masses of the Lambda_Q and Sigma_Q baryons to the Lambda_{QCD}/m_Q order within the framework of heavy quark effective theory. We compare the direct approach and the covariant approach to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Dao-Wei Wang , Ming-Qiu Huang , Cheng-Zu Li
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