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We study the anomalous dimensions and coefficient functions generated by the BFKL equation in 4+2 epsilon dimensions, by investigating both running coupling effects, and the inclusion of the full next-to-leading kernel. After generalising…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Ciafaloni , D. Colferai

Motivated by recent preliminary results from the SLD Collaboration on the measurement of angle-dependent B-Bbar energy correlations in Z^0 -> b bbar events, we propose a class of observables that can be computed as a power expansion in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Brandenburg , P. Nason , C. Oleari

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay…

High Energy Physics - Phenomenology · Physics 2017-12-27 Feng Feng , Yu Jia , Wen-Long Sang

Exclusive rare decays mediated by $b\to s\ell\ell$ transitions receive contributions from four-quark operators that cannot be naively expressed in terms of local form factors. Instead, one needs to calculate a matrix element of a bilocal…

High Energy Physics - Phenomenology · Physics 2020-04-07 Hrachia M. Asatrian , Christoph Greub , Javier Virto

We use QCD sum rules to compute matrix elements of the Delta B=2 operators appearing in the heavy-quark expansion of the width difference of the B_s mass eigenstates. Our analysis includes the leading-order operators Q and Q_S, as well as…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Mannel , B. D. Pecjak , A. A. Pivovarov

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such…

High Energy Physics - Theory · Physics 2014-11-18 Gordon Chalmers , Koenraad Schalm

We provide the $\bar{\mathrm{MS}}$ factor of the renormalization constant of the singlet axial-current operator in dimensional regularization at $\mathcal{O}(\alpha_s^5)$ in perturbative Quantum Chromodynamics (QCD). The result is obtained…

High Energy Physics - Phenomenology · Physics 2022-08-22 Long Chen , Michał Czakon

We present a calculation of the full next-to-leading order QCD corrections to the scattering process pp \to t tbar Z. This channel will be used to measure the t tbar Z electroweak couplings at the Large Hadron Collider. These couplings…

High Energy Physics - Phenomenology · Physics 2008-11-26 Achilleas Lazopoulos , Thomas McElmurry , Kirill Melnikov , Frank Petriello

We present the two-loop corrected operator matrix elements contributing to the scale evolution of the longitudinal spin structure function $g_1(x,Q^2)$ calculated up to finite terms which survive in the limit $\epsilon = N - 4 \to 0$. These…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

The calculation of QCD corrections to the width difference Delta Gamma in the B_s meson system is presented. The next-to-leading order corrections reduce the dependence on the renormalization scale significantly and allow for a meaningful…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulrich Nierste

The general relation between the standard expansion coefficients and the beta function for the QCD coupling is exactly derived in a mathematically strict way. It is accordingly found that an infinite number of logarithmic terms are lost in…

High Energy Physics - Theory · Physics 2007-05-23 G. X. Peng

Using on-shell methods, we present a new perturbative non-renormalization theorem for operator mixing in massless four-dimensional quantum field theories. By examining how unitarity cuts of form factors encode anomalous dimensions we show…

High Energy Physics - Phenomenology · Physics 2020-05-05 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We perform a Next-to-Leading order analysis of Delta S=2 processes beyond the Standard Model. Combining the recently computed NLO anomalous dimensions and the B parameters of the most general Delta S=2 effective Hamiltonian, we give an…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciuchini , L. Conti , A. Donini , E. Franco , V. Gimenez , L. Giusti , V. Lubicz , G. Martinelli , A. Masiero , I. Scimemi , L. Silvestrini , M. Talevi , A. Vladikas

We report on the construction of a factorization theorem for the contribution of the electromagnetic dipole operator ${\cal O}_7$ to the $\bar B_s \to \mu^+\mu^-$ decay amplitude. The leading-order contribution from a QED box diagram…

High Energy Physics - Phenomenology · Physics 2023-07-27 Nicolas Seitz

Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We…

High Energy Physics - Phenomenology · Physics 2016-09-21 Véronique Bernard , Sébastien Descotes-Genon , Luiz Vale Silva

In this paper we present a calculation of the $\Delta S=1$ effective weak Hamiltonian including next-to-leading order QCD and QED corrections. At a scale $\mu$ of the order of few GeV, the Wilson coefficients of the operators are given in…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

We examine the QCD perturbation series at large orders, for different values of the 'large $\beta_0$ renormalization scale'. It is found that if we let this scale grow exponentially with the order, the divergent series can be turned into an…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Van Acoleyen , H. Verschelde

We study the mixing of operators under renormalization group flow in quantum theories, and prove a non-renormalization theorem at non-linear order. It dictates zeros up to a certain number of loops in anomalous dimension tensors that…

High Energy Physics - Phenomenology · Physics 2023-03-15 Weiguang Cao , Franz Herzog , Tom Melia , Jasper Roosmale Nepveu

We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the $O(\Lambda_{\text{QCD}})$ renormalon appearing in the static…

High Energy Physics - Phenomenology · Physics 2023-01-11 Xiang-Peng Wang

Factorization theorems play a crucial role in our understanding of the strong interaction. For collider processes they are typically formulated at leading power and much less is known about power corrections in the $\lambda\ll 1$ expansion.…

High Energy Physics - Phenomenology · Physics 2018-05-09 Cyuan-Han Chang , Iain W. Stewart , Gherardo Vita
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