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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

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization…

High Energy Physics - Lattice · Physics 2010-10-27 Michele Della Morte , Patrick Fritzsch , Jochen Heitger

We present a next-to-leading-order (NLO) analysis of the rare radiative decay $\eta_b \to J/\psi\gamma$, a flavor-changing transition between bottomonium and charmonium, within the framework of non-relativistic QCD (NRQCD). We…

High Energy Physics - Phenomenology · Physics 2026-03-17 Hao Yang , Lin Zuo , Bingwei Long

The loop level flavor changing neutral currents transitions of the $\Sigma_{b}\to n l^+l^-$ and $\Sigma_{c}\to p l^+l^-$ are investigated in full QCD and heavy quark effective theory in the light cone QCD sum rules approach. Using the most…

High Energy Physics - Phenomenology · Physics 2014-11-20 K. Azizi , M. Bayar , M. T. Zeyrek

We propose a new strategy for the determination of the QCD coupling. It relies on a coupling computed in QCD with $N_{\rm f} \geq 3$ degenerate heavy quarks at a low energy scale $\mu_{\rm dec}$, together with a non-perturbative…

High Energy Physics - Lattice · Physics 2020-06-24 Mattia Dalla Brida , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Alberto Ramos , Rainer Sommer

Lattice NRQCD with leading finite lattice spacing errors removed is used to calculate decay constants of mesons made up of heavy quarks. Quenched simulations are done with a tadpole improved gauge action containing plaquette and six-link…

High Energy Physics - Lattice · Physics 2009-10-31 B. D. Jones , R. M. Woloshyn

We calculate the complete three-loop O(alpha_s^3) anomalous dimension matrix for the dimension-five dipole operators that arise in the Standard Model after integrating out the top quark and the heavy electroweak bosons. Our computation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gorbahn , Ulrich Haisch , Mikolaj Misiak

We calculate the leading mass-suppressed two-loop contribution, proportional to alpha_s^3/(m_q r^2), to the potential of a heavy quark-antiquark system. This contribution originates in the nonabelian nature of quantum chromodynamics (QCD)…

High Energy Physics - Phenomenology · Physics 2011-07-19 Bernd A. Kniehl , Alexander A. Penin , Vladimir A. Smirnov , Matthias Steinhauser

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , D. J. Miller

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , V. Miccio , L. Scorzato , C. Torrero

The renormalization constant $Z_J$ of the flavor-singlet axial-vector current with a non-anticommuting $\gamma_5$ in dimensional regularization is determined to order $\alpha_s^3$ in QCD with massless quarks. The result is obtained by…

High Energy Physics - Phenomenology · Physics 2021-06-02 Taushif Ahmed , Long Chen , Michał Czakon

I find the three-loop corrections at leading order in QCD to the physical masses of the Higgs, W, and Z bosons in the Standard Model. The results are obtained as functions of the $\overline{\rm{MS}}$ Lagrangian parameters only, using the…

High Energy Physics - Phenomenology · Physics 2022-08-17 Stephen P. Martin

In this paper, we evaluate, up to QCD next-to-next-to-next-to-leading order, the $B_c^*$ decay constant, which, within the nonrelativistic QCD (NRQCD) framework, is factorized as the product of the short-distance coefficient (SDC) and the…

High Energy Physics - Phenomenology · Physics 2023-03-16 Wen-Long Sang , Hong-Fei Zhang , Ming-Zhen Zhou

We renormalize QCD at three loops in the modified regularization invariant, RI', scheme in arbitrary covariant gauge and deduce that the four loop beta-function is equivalent to the MSbar result. The anomalous dimensions of the scalar,…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. A. Gracey

In the QCD energy-momentum tensor $T^{\mu\nu}$, the terms that contribute to physical matrix elements are expressed as the sum of the gauge-invariant quark part and gluon part. Each part undergoes the renormalization due to the interactions…

High Energy Physics - Phenomenology · Physics 2019-02-20 Kazuhiro Tanaka

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for an RG-improved gauge action and a tadpole-improved clover quark action using the Schr\"odinger functional…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , K. Ide , S. Aoki , M. Fukugita , N. Ishizuka , Y. Iwasaki , K. Kanaya , T. Kaneko , Y. Kuramashi , V. Lesk , M. Okawa , Y. Taniguchi , A. Ukawa , T. Yoshié

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 present quenched results for B meson decay constants using NRQCD b quarks and O(a) tadpole improved clover light quarks. For the first time, one-loop matching factors between lattice and continuum currents are incorporated through…

High Energy Physics - Lattice · Physics 2010-01-18 A. Ali Khan , T. Bhattacharya , S. Collins , C. T. H. Davies , R. Gupta , C. Morningstar , J. Shigemitsu , J. Sloan

The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach is computationally expensive in 2+1 and 3+1 dimensions. Here we use tensor renormalization group…

High Energy Physics - Lattice · Physics 2021-10-19 Jacques Bloch , Robert Lohmayer , Sophia Schweiss , Judah Unmuth-Yockey

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

High Energy Physics - Lattice · Physics 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier