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We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

高能物理 - 唯象学 · 物理学 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

We present approximations to tree level multiparton scattering amplitudes which are appropriate when two partons are unresolved. These approximations are required for the analytic isolation of infrared singularities of n+2 parton scattering…

高能物理 - 唯象学 · 物理学 2008-11-26 J. M. Campbell , E. W. N. Glover

The calculation of exclusive cross sections at next-to-next-to-leading order (NNLO) in QCD requires an analytic understanding of the infrared singular structure with up to two unresolved partons. This has so far only been achieved for…

高能物理 - 唯象学 · 物理学 2024-08-22 Thomas Gehrmann , Markus Löchner

We finish the definition of a subtraction scheme for computing NNLO corrections to QCD jet cross sections. In particular, we perform the integration of the soft-type contributions to the doubly unresolved counterterms via the method of…

高能物理 - 唯象学 · 物理学 2013-04-12 Gabor Somogyi

In previous articles we outlined a subtraction scheme for regularizing doubly-real emission and real-virtual emission in next-to-next-to-leading order (NNLO) calculations of jet cross sections in electron-positron annihilation. In order to…

高能物理 - 唯象学 · 物理学 2008-12-30 Gábor Somogyi , Zoltán Trócsányi

We present a subtraction scheme for computing jet cross sections in electron-positron annihilation at next-to-next-to-leading order accuracy in perturbative QCD. In this first part we deal with the regularization of the doubly-real…

高能物理 - 唯象学 · 物理学 2010-10-27 Gabor Somogyi , Zoltan Trocsanyi , Vittorio Del Duca

We present a general subtraction method for computing radiative corrections to QCD jet cross sections at next-to-next-to-leading order accuracy. The steps needed to set up this subtraction scheme are the same as those used in…

高能物理 - 唯象学 · 物理学 2009-11-13 Zoltan Trocsanyi , Gabor Somogyi

We discuss the problems that arise when one wishes to extend the existing general methods of computing radiative corrections to QCD jet cross sections to beyond next-to-leading order. Then we present a subtraction scheme that can be defined…

高能物理 - 唯象学 · 物理学 2009-04-14 Zoltan Trocsanyi , Gabor Somogyi

A new method to construct event-generators based on next-to-leading order QCD matrix-elements and leading-logarithmic parton showers is proposed. Matrix elements of loop diagrams as well as those of a tree level can be generated using an…

高能物理 - 唯象学 · 物理学 2007-05-23 Y. Kurihara

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

高能物理 - 唯象学 · 物理学 2008-11-26 E. W. N. Glover , D. J. Miller

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a…

高能物理 - 唯象学 · 物理学 2011-05-10 Paolo Bolzoni , Gabor Somogyi , Zoltan Trocsanyi

We compute the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the $\gamma^*\to q\bar q g$ matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop…

高能物理 - 唯象学 · 物理学 2010-04-06 L. W. Garland , T. Gehrmann , E. W. N. Glover , A. Koukoutsakis , E. Remiddi

We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the…

高能物理 - 唯象学 · 物理学 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue

The inclusive four-particle phase space integral of any $1\to 4$ matrix element in massless QCD contains divergences due to the soft and collinear emission of up to two particles in the final state. We show that any term appearing in this…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , G. Heinrich

A general method for calculating \NLO cross sections in perturbative QCD is presented. The algorithm is worked out for calculating $N$-jet cross sections in hadron-hadron collisions. The generalization of the scheme to performing…

高能物理 - 唯象学 · 物理学 2009-10-30 Zoltán Nagy , Zoltán Trócsányi

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $\mathcal{O}(\alpha_s^3)$ in the strong coupling constant $\alpha_s$. Namely, we analytically compute the total cross…

高能物理 - 唯象学 · 物理学 2023-04-24 Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

We present a new subtraction scheme for computing jet cross sections in electron-positron annihilation at next-to-leading order accuracy in perturbative QCD. The new scheme is motivated by problems emerging in extending the subtraction…

高能物理 - 唯象学 · 物理学 2007-05-23 Gabor Somogyi , Zoltan Trocsanyi

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD…

高能物理 - 唯象学 · 物理学 2020-03-18 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel

We study electron-positron annihilations into six jets at the parton level in perturbative Quantum Chromo-Dynamics (QCD), via the elementary processes $e^+e^-\ar q\bar q gggg$, $e^+e^-\ar q\bar q q'\bar q' gg$ and $e^+e^-\ar q\bar q q'\bar…

高能物理 - 唯象学 · 物理学 2009-10-31 Stefano Moretti

A new method to construct event-generators based on next-to-leading order QCD matrix-elements and leading-logarithmic parton showers is proposed. Matrix elements of loop diagram as well as those of a tree level can be generated using an…

高能物理 - 唯象学 · 物理学 2010-04-05 Y. Kurihara , J. Fujimoto , T. Ishikawa , K. Kato , S. Kawabata , T. Munehisa , H. Tanaka
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