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We present the coefficient of the chromomagnetic interaction operator, the only unknown coefficient in the Heavy Quark Effective Theory (HQET) lagrangian up to the $1/m$ level, with the two-loop accuracy by matching scattering amplitudes of…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Czarnecki , A. G. Grozin

The search for quartic anomalous gauge couplings at LEP requires appropriate predictions for the radiative processes e+ e- \to \nu\bar\nu \gamma\gamma, e+ e- \to q\bar{q}\gamma\gamma and e+ e- \to 4 fermions+\gamma. Matrix elements are…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Montagna , M. Moretti , O. Nicrosini , M. Osmo , F. Piccinini

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

High Energy Physics - Phenomenology · Physics 2018-06-27 Luca Vecchi

The perturbative result for the quark-mass conversion factor between the $\overline{\mathrm{MS}}$ and regularization-independent symmetric-momentum subtraction scheme (RI/SMOM) away from the chiral limit, i.e. at non-zero quark masses…

High Energy Physics - Phenomenology · Physics 2025-11-10 Long Chen , Marco Niggetiedt

We compute the one-loop supersymmetric QCD quantum effects on the width $\Gamma (t\rightarrow W^{+}\, b)$ of the canonical main decay of the top quark within the framework of the MSSM. The corrections can be of either sign depending on…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andreas DABELSTEIN , Wolfgang HOLLIK , Christoph JUENGER , Ricardo A. JIMENEZ , Joan SOLA

We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the…

High Energy Physics - Theory · Physics 2014-10-02 Thomas A. Ryttov

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop…

High Energy Physics - Theory · Physics 2016-09-06 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We calculate the collinear anomalous dimensions in massless four-loop QCD and $\mathcal{N} = 4$ supersymmetric Yang-Mills theory from the infrared poles of vertex form factors. We give very precise numerical approximations and a conjecture…

High Energy Physics - Phenomenology · Physics 2021-07-14 Bakul Agarwal , Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger

We investigate the constraints on the anomalous quartic $ZZ\gamma\gamma$ couplings through the process $p p\to p\gamma p\to p \gamma q Z X$ at the LHC. Taking into consideration various forward detector acceptances and integrated LHC…

High Energy Physics - Phenomenology · Physics 2012-12-05 I. Sahin , B. Sahin

The renormalization group and operator product expansion are applied to the model of a passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and not small, correlation time. The inertial-range energy…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , J. Honkonen

We present the results of analytic calculation of the quark mass anomalous dimension to alpha_s**4.

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Chetyrkin

We derive the asymptotic lattice spacing dependence $a^n[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ relevant for spectral quantities of lattice QCD, when using Wilson, O$(a)$ improved Wilson or Ginsparg-Wilson quarks. We give some examples for…

High Energy Physics - Lattice · Physics 2023-03-01 Nikolai Husung

We consider the anomalous dimension $\gamma_{gg}^{(3)}(N)$ of the twist-two gluon operator of arbitrary Lorentz spin $N$ in the quark flavor singlet sector of a general gauge theory at four loops and construct its contribution proportional…

High Energy Physics - Phenomenology · Physics 2026-04-29 B. A. Kniehl , S. -O. Moch , V. N. Velizhanin , A. Vogt

The four-loop QCD corrections to the electroweak $\rho$-parameter arising from top and bottom quark loops are computed. Specifically we evaluate the missing ``non-singlet'' piece. Using algebraic methods the amplitude is reduced to a set of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Faisst , J. H. Kühn , P. Maierhoefer , C. Sturm

We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to three gluons ($g$) and also to quark ($q$), anti-quark ($\overline q$) and a gluon. With…

High Energy Physics - Phenomenology · Physics 2024-11-20 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We extend the recent formalism developed for computing rapidity anomalous dimension of form factors using unitarity to the problem of high-energy near forward scattering. By combining the factorization of $2\rightarrow 2$ scattering in the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Ira Z. Rothstein , Michael Saavedra

Triple gauge boson production provides a promising opportunity to probe the anomalous quartic gauge couplings in understanding the details of electroweak symmetry breaking at future hadron-hadron collider facilities with increasing center…

High Energy Physics - Phenomenology · Physics 2022-06-10 A. Senol , O. Karadeniz , K. Y. Oyulmaz , C. Helveci , H. Denizli

The low-energy $\pi\pi$ amplitude is computed explicitly to two-loop accuracy in the chiral expansion. It depends only on six independent (combinations of) low-energy constants which are not fixed by chiral symmetry. Four of these constants…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern , N. H. Fuchs

The recent determination of the $\beta$--function of the QCD running coupling $\alpha_{\overline{MS}}(Q^2)$ to 5-loops{\color{blue},} provides a verification of the convergence of a novel method for determining the fundamental QCD parameter…

High Energy Physics - Phenomenology · Physics 2017-09-11 A. Deur , S. J. Brodsky , G. F. de Teramond

We deduce the gluino contribution to the three-loop QCD quark mass anomalous dimension function within the minimal supersymmetric Standard Model (MSSM) from its standard QCD expression. This work is a continuation of the program of…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Clavelli , L. R. Surguladze
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