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Within the model-independent framework of $SU(3)\times SU(2)\times U(1)$ gauge-invariant dimension-six operators, we study flavor-changing $Wtq$ couplings ($q=d,s$) and related four-quark contact interactions involving the top. We obtain…

High Energy Physics - Phenomenology · Physics 2015-12-09 R. Romero Aguilar , Antonio O. Bouzas , F. Larios

We present the first results on the two-loop massless QCD corrections to the four-point amplitude $b+\overline{b} \rightarrow H+H$ in the five flavor scheme, treating bottom quarks as massless. This amplitude is sensitive to the trilinear…

High Energy Physics - Phenomenology · Physics 2019-06-03 Ajjath A H , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , Pooja Mukherjee , Narayan Rana , V. Ravindran

We compute the next-to-leading order virtual QCD corrections to Higgs pair production via gluon fusion. We present analytic results for the two-loop contributions to the spin-0 and spin-2 form factors in the amplitude. The reducible…

High Energy Physics - Phenomenology · Physics 2016-08-24 Giuseppe Degrassi , Pier Paolo Giardino , Ramona Gröber

This letter presents results for the two-loop matching coefficients for the dimension eight operators that contribute to Higgs production via gluon fusion. The coefficients can be used to calculate the first correction to the infinite top…

High Energy Physics - Phenomenology · Physics 2013-11-18 Duff Neill

We derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kahler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing…

High Energy Physics - Phenomenology · Physics 2017-07-13 Junji Hisano , Takumi Kuwahara , Yuji Omura , Takeki Sato

The subprocess $gg \to t\bar{c}+\bar{t}c$ in the two-Higgs-doublet model with flavor-changing scalar couplings is examined at the one loop level. With perturbative QCD factorization theorem, the corresponding cross sections for…

High Energy Physics - Phenomenology · Physics 2009-10-31 Chao-Hsi Chang , Liang Han , Yi Jiang , Wen-Gan Ma , Hong Zhou , Mian-Lai Zhou

The discovery of the Higgs boson has opened a new window to test the SM through the measurements of its couplings. Of particular interest is the measured Higgs coupling to photons which arises in the SM at the one-loop level, and can then…

High Energy Physics - Phenomenology · Physics 2015-06-15 J. Elias-Miro , J. R. Espinosa , E. Masso , A. Pomarol

We complete the calculation of the element $\Gamma_{12}^q$ of the decay matrix in $B_q-\bar{B}_q$ mixing, $q=d,s$, to order $\alpha_s$ in the leading power of the Heavy Quark Expansion. To this end we compute one- and two-loop contributions…

High Energy Physics - Phenomenology · Physics 2022-02-28 Marvin Gerlach , Ulrich Nierste , Vladyslav Shtabovenko , Matthias Steinhauser

We apply a fully automated extension of the $R^*$-operation capable of calculating higher-loop anomalous dimensions of n-point Green's functions of arbitrary, possibly non-renormalisable, local Quantum Field Theories. We focus on the case…

High Energy Physics - Phenomenology · Physics 2020-07-22 Jordy de Vries , Giulio Falcioni , Franz Herzog , Ben Ruijl

The two--loop ${\cal O}(\alpha_s G_F m_t^2)$ corrections to the $b\bar b$ decay rate of the Standard Model Higgs boson as well as its production via $e^+e^- \to ZH$ will be presented. These QCD corrections are obtained by using a low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Spira

Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme. In…

High Energy Physics - Phenomenology · Physics 2011-09-16 S. Kraenkl , A. N. Manashov

Starting at 3-loop order, the massive Wilson coefficients for deep-inelastic scattering and the massive operator matrix elements describing the variable flavor number scheme receive contributions of Feynman diagrams carrying quark lines…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , C. Schneider , F. Wißbrock

We briefly discuss the status of the NNLL QCD calculations in the inclusive rare B decay $B \to X_s \ell^+ \ell^-$. Two important ingredients, the two-loop matrix elements of the four quark operator ${\cal O}_2$ and the bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Ghinculov , T. Hurth , G. Isidori , Y. -P. Yao

Heavy--light QCD currents are matched with HQET currents at two loops and leading order in $1/m$. A single formula applies to all current matchings. As a by--product, a master formula for the two--loop anomalous dimension of the QCD current…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. J. Broadhurst , A. G. Grozin

We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion. The relevant four-point functions with internal massive propagators are expressed as multiple polylogarithms…

High Energy Physics - Phenomenology · Physics 2020-12-09 Marco Bonetti , Erik Panzer , Vladimir A. Smirnov , Lorenzo Tancredi

We consider the flavour-changing operators associated with the strong axial and trace anomalies. Their short-distance generation through penguin-like diagrams is obtained within the QCD external field formalism. Standard-model operator…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. -M. Gerard , S. Trine

We extend the resummation of dimensionally-regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

We present Standard Model predictions for the complete set of phenomenologically relevant electroweak precision pseudo-observables related to the Z-boson: the leptonic and bottom-quark effective weak mixing angles $\sin^2\theta_{\rm…

High Energy Physics - Phenomenology · Physics 2020-01-13 Ievgen Dubovyk , Ayres Freitas , Janusz Gluza , Tord Riemann , Johann Usovitsch

A summary of recent results obtained for higher-order corrections to precision observables in the Standard Model and the Minimal Supersymmetric Standard Model is given. In the Standard Model electroweak two-loop results valid for arbitrary…

High Energy Physics - Phenomenology · Physics 2011-03-02 G. Weiglein

We add the Wess-Zumino-Witten term to the N=3 massive nonlinear sigma model and study the leading logarithms in the anomalous sector. We obtain the leading logarithms to six loops for \pi^0 --> \gamma^*\gamma^* and to five loops for…

High Energy Physics - Phenomenology · Physics 2012-03-21 Johan Bijnens , Karol Kampf , Stefan Lanz