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The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected, operators with different chirality do not mix…

High Energy Physics - Lattice · Physics 2009-10-31 S. Capitani , L. Giusti

We compute the effective hamiltonian for non-leptonic |Delta F| = 1 decays in the standard model including next-to-next-to-leading order QCD corrections. In particular, we present the complete three-loop anomalous dimension matrix…

High Energy Physics - Phenomenology · Physics 2009-09-10 Martin Gorbahn , Ulrich Haisch

We present the first next-to-leading-logarithmic QCD analysis of the electromagnetic corrections to the semileptonic weak Hamiltonian, including the mixed $\mathcal{O}(\alpha\,\alpha_s^2)$ corrections to the vector coupling $g_V$. The…

High Energy Physics - Phenomenology · Physics 2026-03-05 Francesco Moretti , Martin Gorbahn , Sebastian Jaeger

Hadronic parity violation concerns the study of the interplay of the weak- and strong-interaction dynamics that yields low energy, parity-violating observables in systems of hadrons and nuclei. We explain its essential features, as well as…

We extend from operators with one derivative to operators with three derivatives the analysis of two-body hadronic parity violation in a combined pionless effective field theory (EFT$_{\pi\!/}$) and large-$N_c$ expansion, where $N_c$ is the…

High Energy Physics - Phenomenology · Physics 2021-06-02 Son T. Nguyen , Matthias R. Schindler , Roxanne P. Springer , Jared Vanasse

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

We use the Yang-Mills gradient flow to study the mixing of CP-violating pure gauge operators in continuum QCD with special attention to Weinberg's d=6 purely gluonic operator. The gradient flow allows for a relatively clear derivation of…

High Energy Physics - Lattice · Physics 2018-11-07 Matthew Rizik , Christopher Monahan , Andrea Shindler

We present our preliminary results for three-point correlation functions involving the operators entering the $\Delta{S}=1$ effective Hamiltonian with an active charm quark, obtained using overlap fermions in the quenched approximation.…

High Energy Physics - Lattice · Physics 2016-09-01 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

We evaluate QCD effects in the neutrinoless double beta ($0\nu\beta\beta$) decay, originating from new physics short-range mechanism in the form of five dimension-9 operators. For this, we employ the one-loop and two-loop renormalization…

High Energy Physics - Phenomenology · Physics 2020-05-13 Cesar Ayala , Gorazd Cvetic , Lorena Gonzalez

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

The history and phenomenology of hadronic parity nonconservation (PNC) is reviewed. We discuss the current status of the experimental tests and theory. We describe a re-analysis of the asymmetry for polarized proton-proton scattering that,…

Nuclear Theory · Physics 2015-06-15 W. C. Haxton , B. R. Holstein

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for $O(a)$-improved quark action and gauge action including six-link loops. This calculation…

High Energy Physics - Lattice · Physics 2016-12-28 S. Aoki , Y. Kuramashi , T. Onogi , N. Tsutsui

This thesis presents the setup and results of numerical calculation of hadronic matrix elements of Delta S=1 weak operators, with the aim of studying the Delta I=1/2 rule and direct CP violation. Such study provides a useful comparison of…

High Energy Physics - Lattice · Physics 2007-05-23 D. Pekurovsky

The most general QCD next-to-leading anomalous-dimension matrix of all possible four-fermion, dimension-six $\Delta F=2$ operators is computed. The results of this calculation can be used in many phenomenological applications, among which…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Ciuchini , E. Franco , V. Lubicz , G. Martinelli , I. Scimemi , L. Silvestrini

The process $p \pbar \rightarrow W^{\pm}\gamma + X \rightarrow \ell^\pm \nu \gamma + X$ is calculated to ${\cal O}(\alpha_s)$ for general $CP$ conserving $WW\gamma$ couplings. At the Tevatron center of mass energy, the QCD corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-22 U. Baur , T. Han , J. Ohnemus

Parity-violating elastic electron-nucleon scattering at low momentum transfer allows one to access the nucleon's weak charge, the vector coupling of the $Z$-boson to the nucleon. In the Standard Model and at tree level, the weak charge of…

Nuclear Theory · Physics 2016-11-23 Mikhail Gorchtein , Hubert Spiesberger

After almost five decades of study of parity violation in hadronic systems, the determination of the seven weak meson-nucleon couplings is still incomplete. Whereas parity violation in nuclear systems is complicated by the intricacies of…

Nuclear Experiment · Physics 2009-11-13 Willem T. H. van Oers

We present a new calculation of the CP violation parameter $\epsilon^{\prime}/ \epsilon$. The results reported in this paper have been obtained by using the $\Delta S=1$ effective Hamiltonian computed at the next-to-leading order, including…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

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

The spectrum of the negative-parity spin-1/2 $\Lambda$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering…

High Energy Physics - Lattice · Physics 2021-07-20 Rafael Pavao , Philipp Gubler , Pedro Fernandez-Soler , Juan Nieves , Makoto Oka , Toru T. Takahashi