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This paper addresses perturbative aspects of the renormalization of a fermion with mass dimension one non-minimally coupled to the electromagnetic field. Specifically, we calculate the one-loop corrections to the propagators and vertex…

High Energy Physics - Phenomenology · Physics 2025-06-19 Willian Carvalho , M. Dias , A. C. Lehum , J. M. Hoff da Silva

Complete two-loop QCD corrections to $b\to c$ transitions are presented in the limit of zero recoil. Vector and axial-vector coefficients $\eta_{A,V}$ are calculated analytically in the limit of equal beauty and charm masses, and a series…

High Energy Physics - Phenomenology · Physics 2016-08-24 Andrzej Czarnecki

We numerically evaluate the two-loop QCD squared matrix element for in $q\bar{q}\to Z$ and $q\bar{q}\to Z\gamma$ with heavy top and bottom quarks circulating in a triangular fermion loop, by simultaneously subtracting infrared, ultraviolet,…

High Energy Physics - Phenomenology · Physics 2026-03-04 Dario Kermanschah , Matilde Vicini

We present numerical results for the two loop QCD corrections to the ghost gluon vertex, the quark gluon vertex, and the triple gluon vertex in the massless limit at the symmetric point. We restrict ourselves to the tensor structures…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. G. Chetyrkin , T. Seidensticker

We derive the planar dilatation operator in the closed subsector of scalar composite operators of an N=2 superconformal quiver gauge theory to three loops. By tuning the ratio of its two gauge couplings we interpolate between a Z_2 orbifold…

High Energy Physics - Theory · Physics 2011-05-19 Elli Pomoni , Christoph Sieg

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 consider QCD corrections to two loops for the polarized amplitudes of $q{\bar q}\to Z +$ Higgs boson. First we show how the polarized amplitudes of $b \bar{b} \rightarrow Z h$ associated with a non-vanishing $b$-quark Yukawa coupling and…

High Energy Physics - Phenomenology · Physics 2020-08-26 Taushif Ahmed , Werner Bernreuther , Long Chen , Michal Czakon

We present three-loop (NNNLO) corrections to the heavy-to-heavy quark transitions in the limit of equal initial and final quark masses. In analogy with the previously found NNLO corrections, the bulk of the result is due to the beta_0^2…

High Energy Physics - Phenomenology · Physics 2011-01-25 John Paul Archambault , Andrzej Czarnecki

We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum…

High Energy Physics - Phenomenology · Physics 2017-03-08 F. Herzog , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

The correlator of vector heavy-quark currents at small q^2 is considered in the large-beta_0 limit. The leading IR renormalon ambiguity of the sum of the perturbative series is canceled by the UV renormalon ambiguity of the gluon…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. G. Grozin , C. Sturm

Asymptotic Pade-approximant methods are utilized to estimate the leading-order unknown (i.e., not-yet-calculated) contributions to the perturbative expansions of two-current QCD correlation functions obtained from scalar-channel fermion and…

High Energy Physics - Phenomenology · Physics 2016-09-06 F. Chishtie , V. Elias , T. G. Steele

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$…

High Energy Physics - Theory · Physics 2015-10-07 Benjamin Basso , Vasco Goncalves , Shota Komatsu , Pedro Vieira

Estimates of higher-order contributions for perturbative series in QCD, in view of their asymptotic nature, are delicate, though indispensable for a reliable error assessment in phenomenological applications. In this work, the Adler…

High Energy Physics - Phenomenology · Physics 2021-09-15 Matthias Jamin

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

We calculate the next-to-leading order QCD corrections to the perturbative term in the operator product expansion of the spectral functions of light tetraquark currents. By using also configuration space methods we keep the momentum space…

High Energy Physics - Phenomenology · Physics 2014-10-01 S. Groote , J. G. Körner , D. Niinepuu

We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Rosell , J. J. Sanz-Cillero , A. Pich

We study the vector and axial-vector current correlators in perturbative and non-perturbative regimes of QCD. The correlators in Euclidean coordinate space are calculated on the lattice using the M\"obius domain-wall fermion formulation at…

High Energy Physics - Lattice · Physics 2017-10-02 JLQCD collaboration , M. Tomii , G. Cossu , B. Fahy , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki

We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional parameter $\epsilon = (4-D)/2$. These terms are required in…

High Energy Physics - Phenomenology · Physics 2018-05-30 J. Ablinger , A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , P. Marquard , N. Rana , C. Schneider

We study the quantum corrections to the generalized Proca theory via matter loops. We consider two types of interactions, linear and nonlinear in the vector field. Calculating the one-loop correction to the vector field propagator, three-…

High Energy Physics - Theory · Physics 2017-08-22 André Amado , Zahra Haghani , Azadeh Mohammadi , Shahab Shahidi

The duality between QCD perturbative series and power corrections recently conjectured by Narison and Zakharov is analyzed. We propose to study correlations between both contributions as diagnostics tool. A very strong correlation between…

High Energy Physics - Phenomenology · Physics 2014-11-20 E. Megias , E. Ruiz Arriola , L. L. Salcedo