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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

The finite-element approach to lattice field theory is both highly accurate (relative errors $\sim 1/N^2$, where $N$ is the number of lattice points) and exactly unitary (in the sense that canonical commutation relations are exactly…

High Energy Physics - Theory · Physics 2016-09-06 K. A. Milton , R. Das

Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the…

High Energy Physics - Lattice · Physics 2013-11-13 Oscar F. Hernandez , Brian R. Hill

The partition function of two dimensional massless staggered fermions interacting with U(N) gauge fields is rewritten in terms of loop variables in the strong coupling limit. We use this representation of the theory to devise a non-local…

High Energy Physics - Lattice · Physics 2009-11-07 Shailesh Chandrasekharan

The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson quark action has been useful to push the leading cut-off effects for on-shell quantities to $\mathcal{O}(\alpha^2 a)$ and, in conjunction with non-perturbative…

High Energy Physics - Lattice · Physics 2024-02-16 Maximilian Ammer , Stephan Durr

We present analytic results for three-loop fermionic corrections to the heavy-light form factors in perturbative quantum chromodynamics. Specifically, we present all light quark contributions and contributions from two heavy quark loops. We…

High Energy Physics - Phenomenology · Physics 2024-07-23 Sudeepan Datta , Narayan Rana

We are studying the $SU(3)$ gauge theory with 12 staggered fermions, searching for the endpoint of the line of first-order phase transitions in the mass--beta plane. This endpoint plays an important role in our understanding of the phase…

High Energy Physics - Lattice · Physics 2016-11-16 Zechariah Gelzer , Yuzhi Liu , Yannick Meurice

The study of the CKM matrix elements with increasing precision requires a reliable evaluation of hadronic matrix elements of axial and vector currents which can be done with Lattice QCD. The tiniest entry, |V_{ub}|, can be estimated…

High Energy Physics - Phenomenology · Physics 2013-07-22 Piotr Korcyl

A lattice calculation of the pi-N sigma term is described using dynamical staggered fermions. Preliminary results give a sea term comparable in magnitude to the valence term.

High Energy Physics - Lattice · Physics 2009-10-22 R. Altmeyer , M. Goeckeler , R. Horsley , E. Laermann , G. Schierholz

The extracted value of the relic density has reached the few per-cent level precision. One can therefore no longer content oneself with calculations of this observable where the annihilation processes are computed at tree-level, especially…

High Energy Physics - Phenomenology · Physics 2013-05-29 Fawzi Boudjema , Guillaume Drieu La Rochelle , Suchita Kulkarni

The status of lattice calculations for heavy quark systems is reviewed, focussing on weak matrix elements for leptonic and semi-leptonic decays of heavy mesons. After an assessment of the main systematic errors, results for the decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

A cluster algorithm is constructed and applied to study the chiral limit of the strongly coupled lattice Schwinger model involving staggered fermions. The algorithm is based on a novel loop representation of the model. Finite size scaling…

High Energy Physics - Lattice · Physics 2009-11-07 Shailesh Chandrasekharan

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover…

High Energy Physics - Lattice · Physics 2018-10-03 Martha Constantinou , Haralambos Panagopoulos

In the heavy-quark limit, the hadronic matrix elements entering nonleptonic $B$-meson decays into two light mesons can be calculated from first principles including ``nonfactorizable'' strong-interaction corrections. The $B\to\pi K,\pi\pi$…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Beneke , G. Buchalla , M. Neubert , C. T. Sachrajda

We present an update of results from the HPQCD collaboration on charm physics using the Highly Improved Staggered Quark action. This includes a precise determination of m_c using moments of current-current correlators combined with…

Recent developments in lattice QCD calculation of weak matrix elements involving light quarks are described. We focus on four topics: $B_K$ with the Kogut-Susskind and Wilson quark actions, $\Delta I=1/2$ rule, proton decay matrix elements…

High Energy Physics - Lattice · Physics 2015-06-25 Yoshinobu Kuramashi

We have studied $O(a^2)$ improved lattice QCD with the staggered fermion by using Symanzik's program. We find that there are 5 dimension-6 fermion bilinears and gauge operators. In addition, there are 10 four-fermion operators which are…

High Energy Physics - Lattice · Physics 2009-10-30 Yubing Luo

The recent precision electroweak data on $\Gamma^l, \bar s^2_W$ and $M_W/M_Z$ are compared with the tree-level and the dominant-fermion-loop as well as the full one-loop standard-model predictions. While the tree-level predictions are ruled…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Bilenky , K. Kolodziej , M. Kuroda , D. Schildknecht

We present an independent calculation of ${\cal{O}}(\alpha_s)$ matrix elements of the QCD penguin operators for the decays $\bar{B}\to X_{s(d)}\gamma$. The Mellin-Barnes representation technique is applied for the systematic numerical…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. M. Asatrian , H. H. Asatryan , A. Hovhannisyan

A number of stochastic methods developed for the calculation of fermion loops are investigated and compared, in particular with respect to their efficiency when implemented on Graphics Processing Units (GPUs). We assess the performance of…

High Energy Physics - Lattice · Physics 2015-06-17 C. Alexandrou , M. Constantinou , V. Drach , K. Hadjiyiannakou , K. Jansen , G. Koutsou , A. Strelchenko , A. Vaquero