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Related papers: Two-loop off-shell QCD amplitudes in FDR

200 papers

We renormalize the Curci-Ferrari model at two loops in the MSbar scheme in an arbitrary covariant gauge.

High Energy Physics - Theory · Physics 2009-11-07 J. A. Gracey

We present the O(as^4) virtual QCD corrections to unlike-quark and like-quark scattering due to the interference of one-loop amplitudes with one-loop amplitudes. The structure of the infrared divergences agrees with that predicted by…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , E. W. N. Glover , C. Oleari , M. E. Tejeda-Yeomans

We compute the leading colour contributions to five-gluon scattering at two loops in massless QCD. The integrands of all independent helicity amplitudes are evaluated using d-dimensional generalised unitarity cuts and finite field…

High Energy Physics - Phenomenology · Physics 2018-03-07 Simon Badger , Christian Brønnum-Hansen , Heribertus Bayu Hartanto , Tiziano Peraro

We present the Master Integrals needed for the calculation of the two-loop QCD corrections to the forward-backward asymmetry of a quark-antiquark pair produced in electron-positron annihilation events. The abelian diagrams entering in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Bonciani , P. Mastrolia , E. Remiddi

We study the off-shell mixing and renormalization of flavor-diagonal dimension-5 T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromo-electric dipole operators. We present the…

High Energy Physics - Phenomenology · Physics 2016-08-02 T. Bhattacharya , V. Cirigliano , R. Gupta , E. Mereghetti , B. Yoon

Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the…

High Energy Physics - Phenomenology · Physics 2011-03-18 Charalampos Anastasiou , Franz Herzog , Achilleas Lazopoulos

We investigate QCD amplitudes with massive quarks computed in the four-dimensional helicity scheme (FDH) and dimensional reduction at NNLO and describe how they are related to the corresponding amplitudes computed in conventional…

High Energy Physics - Phenomenology · Physics 2016-11-23 Christoph Gnendiger , Adrian Signer , Andrea Visconti

Multi-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the…

High Energy Physics - Phenomenology · Physics 2021-09-17 German F. R. Sborlini

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

We derive the structure of three-loop anomalous dimensions governing infrared singularities of QCD amplitudes with one massive and an arbitrary number of massless external partons. The contributions of tripole and quadrupole correlations…

High Energy Physics - Phenomenology · Physics 2022-12-09 Ze Long Liu , Nicolas Schalch

Following a Four Dimensional Renormalization approach to ultraviolet divergences (FDR), we extend the concept of predictivity to non-renormalizable quantum field theories at arbitrarily large perturbative orders. The idea of topological…

High Energy Physics - Phenomenology · Physics 2015-01-20 Roberto Pittau

We present numerical results for the two-loop virtual amplitude entering the NNLO corrections to Higgs boson production in association with a top quark pair at the LHC, focusing, as a proof of concept of our method, on the part of the…

High Energy Physics - Phenomenology · Physics 2024-05-31 Bakul Agarwal , Gudrun Heinrich , Stephen P. Jones , Matthias Kerner , Sven Yannick Klein , Jannis Lang , Vitaly Magerya , Anton Olsson

The ultraviolet completion of a large N QCD model requires introducing new degrees of freedom at certain scale so that the UV behavior may become asymptotically conformal with no Landau poles and no UV divergences of Wilson loops. These UV…

High Energy Physics - Theory · Physics 2017-05-03 Keshav Dasgupta , Maxim Emelin , Charles Gale , Michael Richard

Dimensional regularization of Euclidean momentum space integrals is a highly successful technique in renormalization of quantum field theories. While it yields a straightforward algorithmic method, with which to evaluate diagrams beyond…

Mathematical Physics · Physics 2020-09-03 Juuso Österman

Within the framework of nonrelativistic QCD (NRQCD) factorization, we compute the three-loop QCD corrections to the decay constant of $B_c$. We reconstruct the analytical expressions for the three-loop renormalization constant and the…

High Energy Physics - Phenomenology · Physics 2022-08-09 Feng Feng , Yu Jia , Zhewen Mo , Jichen Pan , Wen-Long Sang , Jia-Yue Zhang

The renormalization of a parity-even massless $U(1)\times U(1)$ quantum electrodynamics in three space-time dimensions (QED$_3$) is studied by adopting the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method. The…

High Energy Physics - Theory · Physics 2025-08-07 D. O. R. Azevedo , O. M. Del Cima , L. S. Lima , E. S. Miranda

Two program packages are presented for evaluating one-loop amplitudes. They can work either in dimensional regularization or in constrained differential renormalization. The latter method is found at the one-loop level to be equivalent to…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Hahn , M. Perez-Victoria

We compute the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM, including the effect of non-vanishing external momenta in the self-energies. We obtain corrections of O(alpha_t*alpha_s) and O(alpha*alpha_s), i.e., all…

High Energy Physics - Phenomenology · Physics 2015-06-23 G. Degrassi , S. Di Vita , P. Slavich

We present a method for the analysis of singularities of Feynman amplitudes based on the Speer sector decomposition of the Schwinger parametric integrals combined with the Mellin-Barnes transform. The sector decomposition method is…

High Energy Physics - Theory · Physics 2015-05-28 Carlo M. Becchi , Alessandra Repetto

We consider the application of the two-loop functional renormalization-group (fRG) approach to study the low-dimensional Hubbard model. This approach accounts for both, the universal and non-universal contributions to the RG flow. While the…

Strongly Correlated Electrons · Physics 2009-09-01 A. A. Katanin
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