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Related papers: Long-distance dimension-eight operators in B_K

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Starting from the most general effective $|\Delta B| = 1$ Hamiltonian describing non-leptonic $b$-quark decays $b\to q_1 \bar q_2 q_3$, we compute analytic expressions for all matching coefficients of the two-quark operator contributions in…

High Energy Physics - Phenomenology · Physics 2026-05-27 Martin Lang , Alexander Lenz , Ali Mohamed , Maria Laura Piscopo , Aleksey V. Rusov

The $B_K$ parameter is discussed in the general context of calculating beyond the factorization approximation for hadronic matrix elements. A variant of the $1/N_c$ method of Bardeen et al. is used. We present calculations within a low…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Joaquim Prades

We perform for the first time a direct calculation of on-shell $K\to\pi\pi$ hadronic matrix elements of chromomagnetic operators (CMO) in the Standard Model and beyond. To his end, we use the successful Dual QCD (DQCD) approach in which we…

High Energy Physics - Phenomenology · Physics 2018-08-15 Andrzej Buras , Jean-Marc Gerard

The six independent formfactors describing the weak decay \semi\ are determined in terms of one universal function when both the $b$ and $c$ quarks are treated as heavy. The relations between these formfactors are modified by terms…

High Energy Physics - Phenomenology · Physics 2011-07-19 Martin J. Savage

We use the heavy quark expansion to investigate the width difference $\Delta\Gamma_{B_s}$ between the $B_s$ mass eigenstates. The corrections of ${\cal O}(\Lambda_{QCD}/m_b)$ and ${\cal O}(m_s/m_b)$ to the leading order expression in the…

High Energy Physics - Phenomenology · Physics 2011-07-04 M. Beneke , G. Buchalla , I. Dunietz

We present numerical results for the kaon B-parameter, B_K, determined in the quenched approximation of lattice QCD. Our simulations are performed using domain-wall fermions and the renormalization group improved, DBW2 gauge action which…

High Energy Physics - Lattice · Physics 2011-09-01 Y. Aoki , T. Blum , N. H. Christ , C. Dawson , T. Izubuchi , R. D. Mawhinney , J. Noaki , S. Ohta , K. Orginos , A. Soni , N. Yamada

Extensions of the Standard Model which involve a new scale, $\Lambda$, may, for energies sufficiently small compared to this new scale, be expressed in terms of operators with energy dimension greater than four. The coefficients of just…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , S. Matsumoto , R. Szalapski

Long distance contribution to the $K^0-\bar K^0$ mixing is taken into account consistently and the corrections to the naive duality result represented by the famous box diagram are found to be small. Estimates are given in the leading order…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Penin , A. A. Pivovarov

In the large-momentum effective field theory approach to parton physics, the matrix elements of non-local operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum…

High Energy Physics - Phenomenology · Physics 2018-03-21 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

The two-loop massive operator matrix elements for the fermionic local twist--2 operators with external massive fermion lines in Quantum Electrodynamics (QED) are calculated up to the constant terms in the dimensional parameter $\epsilon = D…

High Energy Physics - Phenomenology · Physics 2011-11-02 Johannes Blümlein , Abilio De Freitas , Wilhelmus van Neerven

In this short review, I present the recent lattice computations of kaon weak matrix elements relevant to $K \to \pi\pi$ decays and neutral kaon mixing. These matrix elements are key to the theoretical determination of the CP violation…

High Energy Physics - Lattice · Physics 2015-12-09 Nicolas Garron

Scale factor matrices relating mesonic fields in chiral Lagrangians and quark-level operators of QCD sum-rules are shown to be constrained by chiral symmetry, resulting in universal scale factors for each chiral nonet. Built upon this…

High Energy Physics - Phenomenology · Physics 2020-10-28 Amir H. Fariborz , J. Ho , T. G. Steele

We present preliminary results of the first lattice QCD calculation of the K -> pi matrix elements of the chromomagnetic operator O_{CM}=g sbar sigma_{munu} G_{munu} d, which appears in the effective Hamiltonian describing Delta S=1…

High Energy Physics - Lattice · Physics 2015-09-02 M. Constantinou , M. Costa , R. Frezzotti , V. Lubicz , G. Martinelli , D. Meloni , H. Panagopoulos , S. Simula

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

$K \to \pi$ and $K \to 0$ weak matrix elements of $\Delta S = 1$ operators have been measured in 2+1 flavor domain wall fermion (DWF) QCD on (3 fm)$^3$ lattices with $a^{-1} = 1.73(3)$ GeV. As is well known, using these matrix elements and…

High Energy Physics - Lattice · Physics 2009-04-14 Shu Li , Robert D. Mawhinney for RBC , UKQCD Collaborations

The effects of dimension-eight operators giving rise to anomalous neutral triple gauge boson interactions of $Z\gamma\gamma$ and $Z\gamma Z$ vertices in $pp\to l^-l^+\gamma$ and $pp\to \nu\bar \nu \gamma$ are investigated at 100 TeV centre…

High Energy Physics - Phenomenology · Physics 2018-09-12 A. Senol , H. Denizli , A. Yilmaz , I. Turk Cakir , K. Y. Oyulmaz , O. Karadeniz , O. Cakir

The B-meson distribution amplitude (DA) is defined as the matrix element of a quark-antiquark bilocal light-cone operator in the heavy-quark effective theory, corresponding to a long-distance component in the factorization formula for…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroyuki Kawamura , Kazuhiro Tanaka

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We extend the usual power counting to include the effects of using perturbative (rather than non-perturbative) matching factors. Taste…

High Energy Physics - Lattice · Physics 2007-05-23 Ruth S. Van de Water , Stephen R. Sharpe

A self-consistent analysis of K --> 2pi and K --> 3pi decays within a unique framework of chiral dynamics applied to the QCD-corrected weak nonleptonic quark lagrangian has been performed. The results on K --> 2pi amplitudes at O(p^6),…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Belkov , G. Bohm , A. V. Lanyov

In this work, we suggest that hard-pion chiral perturbation theory may be applicable to the real parts of nonleptonic B^{+} to D^{0}P^{+} and B^{+} to Dbar^{0}P^{+} (P=K,pi) decay amplitudes. These amplitudes play an important role in the…

High Energy Physics - Lattice · Physics 2012-03-21 Christopher Aubin , C. -J. David Lin , Amarjit Soni