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We compute the radiative corrections to the four-point amplitude $g+g \rightarrow A+A$ in massless Quantum Chromodynamics (QCD) up to order $a_s^4$ in perturbation theory. We used the effective field theory that describes the coupling of…

High Energy Physics - Phenomenology · Physics 2021-11-30 Arunima Bhattacharya , Maguni Mahakhud , Prakash Mathews , V. Ravindran

We consider the three-loop scattering amplitudes for the production of a pair of photons in quark-antiquark annihilation in Quantum Chromodynamics (QCD). We use suitably defined projectors to efficiently calculate all helicity amplitudes.…

High Energy Physics - Phenomenology · Physics 2021-03-24 Fabrizio Caola , Andreas von Manteuffel , Lorenzo Tancredi

Explicit quark-hadron duality in the limit of heavy quark mass is studied using the 't Hooft model, where both partonic and hadronic amplitudes may be computed exactly. Results for weak decays of heavy mesons are presented for both standard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard F. Lebed

We present results for the two-loop helicity amplitudes entering the NLO QCD corrections to the production of a Higgs boson in association with a $Z$-boson in gluon fusion. The two-loop integrals, involving massive top quarks, are…

High Energy Physics - Phenomenology · Physics 2021-03-18 Long Chen , Gudrun Heinrich , Stephen P. Jones , Matthias Kerner , Jonas Klappert , Johannes Schlenk

I present results for the resummation of soft and collinear gluon contributions to QCD hard-scattering cross sections at two loops. This requires the calculation of UV and IR divergences through two loops and the construction of soft…

High Energy Physics - Phenomenology · Physics 2010-11-19 Nikolaos Kidonakis

We present the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the process $h \rightarrow g+g+g$ due to interference of born and two-loop amplitudes, where $h$ is a massive spin-2 particle and $g$ is the gluon. We assume that the SM…

High Energy Physics - Phenomenology · Physics 2015-06-19 Taushif Ahmed , Maguni Mahakhud , Prakash Mathews , Narayan Rana , V. Ravindran

We thoroughly investigate both transverse momentum and threshold resummation effects on scalar-pseudoscalar pair production via quark-antiquark annihilation at the $13~ \text{TeV}$ Large Hadron Collider at QCD NLO+NLL accuracy. A…

High Energy Physics - Phenomenology · Physics 2021-12-28 He-Yi Li , Ren-You Zhang , Yu Zhang , Wen-Gan Ma , Ming-Ming Long , Shu-Xiang Li

We study the singularity structure of two-loop QED amplitudes for the production of multiple off-shell photons in massless electron-positron annihilation and develop counterterms that remove their infrared and ultraviolet divergences point…

High Energy Physics - Phenomenology · Physics 2021-04-26 Charalampos Anastasiou , Rayan Haindl , George Sterman , Zhou Yang , Mao Zeng

We present the full O(alpha_s) longitudinal spin-spin correlations for heavy-quark pair production at e+ e- high-energy colliders in closed analytical form. In such reactions, quark and antiquark have strongly correlated spins, and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. M. Tung , J. Bernabeu , J. Penarrocha

The vacuum is now understood to possess a rich and complex structure, characterized by fluctuating energy fields and a condensate of virtual quark-antiquark pairs. The spontaneous breaking of the approximate chiral symmetry, signaled by the…

High Energy Physics - Experiment · Physics 2026-02-10 The STAR Collaboration

We present complete results for the $O(\alpha_s)$ corrections to the production of a heavy quark pair plus a hard photon, in $e^+ e^-$ annihilation, including both photon and $Z$ intermediate states. Virtual corrections are calculated…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Magnea , E. Maina

We calculate the three-loop matching coefficient $C_{HH}$, required for a consistent description of Higgs boson pair production in gluon fusion through next-to-next-to-leading order QCD in the heavy top quark approximation. We also compute…

High Energy Physics - Phenomenology · Physics 2015-06-22 Jonathan Grigo , Kirill Melnikov , Matthias Steinhauser

We present a precise and efficient computation of the two-loop amplitudes entering the Higgs boson pair production process via gluon fusion. Our approach is based on the small-Higgs-mass expansion while keeping the full dependence on the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Guoxing Wang , Yuxuan Wang , Xiaofeng Xu , Yongqi Xu , Li Lin Yang

The next-to-leading order analysis for the cross section for hadroproduction of top quark pairs close to threshold is presented. Within the framework of non-relativistic QCD a significant enhancement compared to fixed order perturbation…

High Energy Physics - Phenomenology · Physics 2009-03-30 Y. Kiyo , J. H. Kühn , S. Moch , M. Steinhauser , P. Uwer

We calculate the two-loop QCD corrections to $gg \to ZZ$ involving a closed top-quark loop. We present a new method to systematically construct linear combinations of Feynman integrals with a convergent parametric representation, where we…

High Energy Physics - Phenomenology · Physics 2021-06-16 Bakul Agarwal , Stephen P. Jones , Andreas von Manteuffel

We describe the analytic calculation of the fermionic two-loop QCD corrections to the heavy-quark pair production process in the quark-antiquark channel.

High Energy Physics - Phenomenology · Physics 2009-11-13 R. Bonciani , A. Ferroglia , T. Gehrmann , D. Maitre , C. Studerus

We discuss the recent derivation of the two loop virtual QCD corrections to the W boson pair production in the quark-anti-quark-annihilation channel in the limit where all kinematical invariants are large compared to the mass of the W…

High Energy Physics - Phenomenology · Physics 2008-07-04 G. Chachamis

We compute the top quark contribution to the two-loop amplitude for on-shell $Z$ boson pair production in gluon fusion, $gg \to ZZ$. Exact dependence on the top quark mass is retained. For each phase space point the integral reduction is…

High Energy Physics - Phenomenology · Physics 2023-01-11 Christian Brønnum-Hansen , Chen-Yu Wang

The massive one-loop {\it QCD} corrections to the production cross sections of We present the massive one-loop {\it QCD} corrections to the production cross sections of polarized quarks in the annihilation process $e^+e^-\to q\bar{q}(g)$…

High Energy Physics - Phenomenology · Physics 2010-01-15 Michael M. Tung

We present a calculation of the NLO QCD corrections to the loop-induced production of a photon pair through gluon fusion, including massive top quarks at two loops, where the two-loop integrals are calculated numerically. Matching the…

High Energy Physics - Phenomenology · Physics 2020-10-14 Long Chen , Gudrun Heinrich , Stephan Jahn , Stephen P. Jones , Matthias Kerner , Johannes Schlenk , Hiroshi Yokoya