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Related papers: $O(\alpha_{s}a)$ matching coefficients for axial v…

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We present the perturbative matching coefficient to $O(a\alpha_s)$ which relates the $\Delta B$=2 operator in the continuum to that of the lattice static theory, which is important in the accurate extraction of the continuum value of the…

High Energy Physics - Lattice · Physics 2009-10-31 K-I. Ishikawa , T. Onogi , N. Yamada

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. The currents are…

High Energy Physics - Lattice · Physics 2009-10-31 Colin J. Morningstar , J. Shigemitsu

The temporal component of the heavy-light axial vector current is constructed to one-loop order in perturbation theory and to order 1/M, where M is the heavy quark mass, in terms of operators suitable for use in lattice simulations of B and…

High Energy Physics - Lattice · Physics 2016-08-25 Colin J. Morningstar , J. Shigemitsu

One-loop matching of heavy-light currents is carried out for a highly improved lattice action, including the effects of mixings with dimension 4 O(1/M) and O(a) operators. We use the NRQCD action for heavy quarks, the Asqtad improved naive…

High Energy Physics - Lattice · Physics 2009-11-10 Emel Gulez , Junko Shigemitsu , Matthew Wingate

We match continuum and lattice heavy-light four-fermion operators at one loop in perturbation theory. For the heavy quarks we use nonrelativistic QCD and for the massless light quarks the highly improved staggered quark action. We include…

High Energy Physics - Lattice · Physics 2014-10-02 Christopher Monahan , Elvira Gamiz , Ron Horgan , Junko Shigemitsu

We present a perturbative calculation of the renormalization constants for the $\Delta B=2$ four-quark operators, which is needed to evaluate the bag parameters $B_B$ and $B_S$ in lattice QCD. The one-loop coefficients are calculated for…

High Energy Physics - Lattice · Physics 2009-10-31 S. Hashimoto , K-I. Ishikawa , T. Onogi , M. Sakamoto , N. Tsutsui , N. Yamada

We calculate perturbative renormalization constants for the \Delta B=2 four-quark operators in lattice NRQCD. Continuum operators \bar{b}\gamma_{\mu}(1-\gamma_5)q~ \bar{b}\gamma_{\mu}(1-\gamma_5)q and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Hashimoto , K-I. Ishikawa , T. Onogi , M. Sakamoto , N. Tsutsui , N. Yamada

We discuss perturbative O(g^2a) matching with static heavy quarks and domain-wall light quarks for lattice operators relevant to B-meson decays and $B^0$-$\bar{B}^0$ mixing. The chiral symmetry of the light domain-wall quarks does not…

High Energy Physics - Lattice · Physics 2015-03-17 Tomomi Ishikawa , Yasumichi Aoki , Jonathan M. Flynn , Taku Izubuchi , Oleg Loktik

We discuss the perturbative $O(\alpha_s a)$ matching in the static heavy and domain-wall light quark system. The gluon action is the Iwasaki action and the link smearing is performed in the static heavy action. The chiral symmetry of the…

High Energy Physics - Lattice · Physics 2009-04-03 Tomomi Ishikawa

One-loop matching of heavy-light currents is carried out for a highly improved lattice action, including the effects of dimension 4 O(1/M) and O(a) operators. We use the NRQCD action for heavy quarks, the Asqtad improved naive action for…

High Energy Physics - Lattice · Physics 2009-11-10 Emel Gulez , Junko Shigemitsu , Matthew Wingate

We compute several coefficients needed for O(a) improvement of currents in perturbation theory, using the Brodsky-Lepage-Mackenzie prescription for choosing an optimal scale q*. We then compare the results to non-perturbative calculations.…

High Energy Physics - Lattice · Physics 2009-11-07 Junpei Harada , Shoji Hashimoto , Andreas S. Kronfeld , Tetsuya Onogi

We construct approximate formulas for the O(\alpha_s^3) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on…

High Energy Physics - Phenomenology · Physics 2009-10-02 Y. Kiyo , A. Maier , P. Maierhoefer , P. Marquard

We carry out a perturbative determination of mass dependent renormalization factors and $O(a)$ improvement coefficients for the vector and axial vector currents with a relativistic heavy quark action, which we have designed to control…

High Energy Physics - Lattice · Physics 2010-04-05 Sinya Aoki , Yasuhisa Kayaba , Yoshinobu Kuramashi

We compute O(alpha_s) lattice-to-continuum perturbative matching coefficients for the Delta S=2 flavor changing four-quark operators for the Asqtad improved staggered action. In conjunction with lattice simulations with three flavors of…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Becher , Elvira Gamiz , Kirill Melnikov

Recent results for B meson decay constants with NRQCD b-quarks and clover light quarks are discussed. Perturbative matching factors through O($\alpha/M$) are now available and incorporated into the analyses. An O($\alpha a$) improvement…

High Energy Physics - Lattice · Physics 2016-09-01 Junko Shigemitsu

We match the continuum and lattice axial vector and vector currents at one loop in perturbation theory. For the heavy quarks we use the nonrelativistic QCD (NRQCD) action and for the light quarks the Highly Improved Staggered Quark (HISQ)…

High Energy Physics - Lattice · Physics 2013-04-18 Christopher Monahan , Junko Shigemitsu , Ron Horgan

We determine the mass dependent renormalization as well as improvement coefficients for the heavy-light vector and axial-vector currents consisting of the relativistic heavy and the domain-wall light quarks through the standard matching…

High Energy Physics - Lattice · Physics 2009-11-10 Norikazu Yamada , Sinya Aoki , Yoshinobu Kuramashi

We calculate a set of conformal correlators in the critical $O(N)$ vector model in $2<d<6$ dimensions. We focus on the correlators involving the Hubbard-Stratonovich field $s$, and its composite form $s^2$. In the process, we report a…

High Energy Physics - Theory · Physics 2021-03-19 Noam Chai , Mikhail Goykhman , Ritam Sinha

We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can…

High Energy Physics - Phenomenology · Physics 2009-01-06 Christian Sturm

We present a calculation of the renormalisation constants for the temporal vector current, $Z_{V_0}$ and spatial axial current, $Z_{A_k}$, to $O(\alpha_s/M)$ for $B\to D$ transitions using the $O(1/M)$ NRQCD action for both $b$ and $c$…

High Energy Physics - Lattice · Physics 2016-09-01 P. Boyle , C. Davies
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