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We compute the helicity amplitudes for the processes $gg\to Zg$ and $gg\to Z\gamma$ to two loops in massless QCD. The perturbative expansion of these processes starts only at the one-loop level, such that our results are a crucial…

High Energy Physics - Phenomenology · Physics 2023-08-21 Thomas Gehrmann , Lorenzo Tancredi , Erich Weihs

I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions.…

High Energy Physics - Phenomenology · Physics 2024-11-19 Colomba Brancaccio

We consider the one-loop factorization of the simplest twist-three process: inclusive deep-inelastic scattering of longitudinally-polarized leptons on a transversely-polarized nucleon target. By studying the Compton amplitudes for certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Wei Lu , Jonathan Osborne , Xiaotong Song

By analyzing experimental data on semi-inclusive deep inelastic scattering off longitudinally polarized targets, we extract the transverse momentum dependence of the quark helicity distribution, i.e., the difference between the…

High Energy Physics - Phenomenology · Physics 2024-09-27 Alessandro Bacchetta , Alessia Bongallino , Matteo Cerutti , Marco Radici , Lorenzo Rossi

Generalized parton distribution functions (GPDs) of spin-3/2 particles are defined for the first time in this paper. Eight unpolarized and eight polarized GPDs are found. In the forward limit of GPDs, the structure functions and parton…

High Energy Physics - Phenomenology · Physics 2023-01-04 Dongyan Fu , Bao-Dong Sun , Yubing Dong

We reevaluate the vacuum polarization functions for electroweak gauge bosons at three loops in QCD, employing state-of-the-art perturbative techniques. We apply these results to determine the ${\mathcal{O}}(\alpha \alpha_s^2)$ corrections…

High Energy Physics - Phenomenology · Physics 2026-04-21 Tanmoy Pati , Narayan Rana , Alessandro Vicini

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated…

High Energy Physics - Phenomenology · Physics 2022-11-23 Chengdong Han , Gang Xie , Rong Wang , Xurong Chen

We have studied the deep inelastic scattering (DIS) of polarized charged leptons from polarized nucleon targets and evaluated the polarized nucleon structure functions $g_{1N,2N}(x,Q^2)$ as well as the nucleon asymmetries $A_{1N,2N}(x,Q^2)$…

High Energy Physics - Phenomenology · Physics 2025-05-01 F. Zaidi , M. Sajjad Athar , S. K. Singh

The real and imaginary part of the vacuum polarisation function $\Pi(q^2)$ induced by a massive quark is calculated in perturbative QCD up to order $\alpha_s^2$. The method is described and the results are presented. This extends the…

High Energy Physics - Phenomenology · Physics 2010-04-06 K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

We compute the fermionic (n_f) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic deep-inelastic scattering at third order of massless perturbative QCD. Complete results are presented for the…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

Measurements of double-helicity asymmetries for inclusive hadron production in polarized p+p collisions are sensitive to helicity--dependent parton distribution functions, in particular to the gluon helicity distribution, Delta(g). This…

High Energy Physics - Experiment · Physics 2019-08-13 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , H. Al-Bataineh , J. Alexander , K. Aoki , L. Aphecetche , R. Armendariz , S. H. Aronson , J. Asai , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , A. Baldisseri , K. N. Barish , P. D. Barnes , B. Bassalleck , A. T. Basye , S. Bathe , S. Batsouli , V. Baublis , C. Baumann , A. Bazilevsky , S. Belikov , R. Bennett , A. Berdnikov , Y. Berdnikov , A. A. Bickley , J. G. Boissevain , H. Borel , K. Boyle , M. L. Brooks , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , B. S. Chang , W. C. Chang , J. -L. Charvet , S. Chernichenko , J. Chiba , C. Y. Chi , M. Chiu , I. J. Choi , R. K. Choudhury , T. Chujo , P. Chung , A. Churyn , V. Cianciolo , Z. Citron , C. R. Cleven , B. A. Cole , M. P. Comets , P. Constantin , M. Csanád , T. Csörg\Hø , T. Dahms , S. Dairaku , K. Das , G. David , M. B. Deaton , K. Dehmelt , H. Delagrange , A. Denisov , D. d'Enterria , A. Deshpande , E. J. Desmond , O. Dietzsch , A. Dion , M. Donadelli , O. Drapier , A. Drees , K. A. Drees , A. K. Dubey , A. Durum , D. Dutta , V. Dzhordzhadze , Y. V. Efremenko , J. Egdemir , F. Ellinghaus , W. S. Emam , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , K. O. Eyser , B. Fadem , D. E. Fields , M. Finger, , M. Finger , F. Fleuret , S. L. Fokin , Z. Fraenkel , J. E. Frantz , A. Franz , A. D. Frawley , K. Fujiwara , Y. Fukao , T. Fusayasu , S. Gadrat , I. Garishvili , A. Glenn , H. Gong , M. Gonin , J. Gosset , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , M. Grosse Perdekamp , T. Gunji , H. -Å. Gustafsson , T. Hachiya , A. Hadj Henni , C. Haegemann , J. S. Haggerty , H. Hamagaki , R. Han , H. Harada , E. P. Hartouni , K. Haruna , E. Haslum , R. Hayano , M. Heffner , T. K. Hemmick , T. Hester , X. He , H. Hiejima , J. C. Hill , R. Hobbs , M. Hohlmann , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , D. Hornback , S. Huang , T. Ichihara , R. Ichimiya , H. Iinuma , Y. Ikeda , K. Imai , J. Imrek , M. Inaba , Y. Inoue , D. Isenhower , L. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanischev , B. V. Jacak , J. Jia , J. Jin , O. Jinnouchi , B. M. Johnson , K. S. Joo , D. Jouan , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , M. Kaneta , J. H. Kang , H. Kanou , J. Kapustinsky , D. Kawall , A. V. Kazantsev , T. Kempel , A. Khanzadeev , K. M. Kijima , J. Kikuchi , B. I. Kim , D. H. Kim , D. J. Kim , E. Kim , S. H. Kim , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , A. Kiyomichi , J. Klay , C. Klein-Boesing , L. Kochenda , V. Kochetkov , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , A. Kozlov , A. Král , A. Kravitz , J. Kubart , G. J. Kunde , N. Kurihara , K. Kurita , M. Kurosawa , M. J. Kweon , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , D. Layton , A. Lebedev , D. M. Lee , K. B. Lee , M. K. Lee , T. Lee , M. J. Leitch , M. A. L. Leite , B. Lenzi , P. Liebing , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , X. Li , B. Love , D. Lynch , C. F. Maguire , Y. I. Makdisi , A. Malakhov , M. D. Malik , V. I. Manko , E. Mannel , Y. Mao , L. Mašek , H. Masui , F. Matathias , M. McCumber , P. L. McGaughey , N. Means , B. Meredith , Y. Miake , P. Mikeš , K. Miki , T. E. Miller , A. Milov , S. Mioduszewski , M. Mishra , J. T. Mitchell , M. Mitrovski , A. K. Mohanty , Y. Morino , A. Morreale , D. P. Morrison , T. V. Moukhanova , D. Mukhopadhyay , J. Murata , S. Nagamiya , Y. Nagata , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , Y. Nakamiya , T. Nakamura , K. Nakano , J. Newby , M. Nguyen , T. Niita , B. E. Norman , R. Nouicer , A. S. Nyanin , E. O'Brien , S. X. Oda , C. A. Ogilvie , H. Ohnishi , K. Okada , M. Oka , O. O. Omiwade , Y. Onuki , A. Oskarsson , M. Ouchida , K. Ozawa , R. Pak , D. Pal , A. P. T. Palounek , V. Pantuev , V. Papavassiliou , J. Park , W. J. Park , S. F. Pate , H. Pei , J. -C. Peng , H. Pereira , V. Peresedov , D. Yu. Peressounko , C. Pinkenburg , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , I. Ravinovich , K. F. Read , S. Rembeczki , M. Reuter , K. Reygers , V. Riabov , Y. Riabov , D. Roach , G. Roche , S. D. Rolnick , A. Romana , M. Rosati , S. S. E. Rosendahl , P. Rosnet , P. Rukoyatkin , P. Ružička , V. L. Rykov , B. Sahlmueller , N. Saito , T. Sakaguchi , S. Sakai , K. Sakashita , H. Sakata , V. Samsonov , S. Sato , T. Sato , S. Sawada , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , V. Semenov , R. Seto , D. Sharma , I. Shein , A. Shevel , T. -A. Shibata , K. Shigaki , M. Shimomura , K. Shoji , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , C. Silvestre , K. S. Sim , B. K. Singh , C. P. Singh , V. Singh , S. Skutnik , M. Slunečka , A. Soldatov , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , F. Staley , P. W. Stankus , E. Stenlund , M. Stepanov , A. Ster , S. P. Stoll , T. Sugitate , C. Suire , A. Sukhanov , J. Sziklai , T. Tabaru , S. Takagi , E. M. Takagui , A. Taketani , R. Tanabe , Y. Tanaka , S. Taneja , K. Tanida , M. J. Tannenbaum , A. Taranenko , P. Tarján , H. Themann , T. L. Thomas , M. Togawa , A. Toia , J. Tojo , L. Tomášek , Y. Tomita , H. Torii , R. S. Towell , V-N. Tram , I. Tserruya , Y. Tsuchimoto , C. Vale , H. Valle , H. W. van Hecke , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , V. Vrba , E. Vznuzdaev , M. Wagner , D. Walker , X. R. Wang , Y. Watanabe , F. Wei , J. Wessels , S. N. White , D. Winter , C. L. Woody , M. Wysocki , W. Xie , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , Z. Yasin , J. Ying , S. Yokkaichi , G. R. Young , I. Younus , I. E. Yushmanov , W. A. Zajc , O. Zaudtke , C. Zhang , S. Zhou , J. Zimányi , L. Zolin

Two-loop electroweak corrections to polarized Moller scattering are studied in two different schemes at low energies. We find the finite $Q^2$ corrections to be well under control. The hadronic and perturbative QCD corrections to the…

High Energy Physics - Phenomenology · Physics 2022-07-14 Jens Erler , Rodolfo Ferro-Hernández , Ayres Freitas

We present the first genuine QCD five-loop calculation of the vacuum polarization functions: analytical terms of order alpha_s^4 n_f^2 to the absorptive parts of vector and scalar correlators. These corrections form an important…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

The calculations for the production of heavy quarks in deeply inelastic scattering (DIS) can be seen as an illustrative example in the framework of perturbative Quantum Chromo Dynamics (pQCD). In this thesis, I give an overview of all steps…

High Energy Physics - Phenomenology · Physics 2020-05-18 Felix Hekhorn

We review recent developments in the calculation of QCD loop amplitudes with several external legs, and their application to next-to-leading order jet production cross-sections. When a number of calculational tools are combined together ---…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Bern , L. Dixon , D. A. Kosower , A. Signer

I review the factorisation properties of tree level amplitudes when three particles $i$, $j$, $k$ are collinear. The triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved…

High Energy Physics - Phenomenology · Physics 2022-07-29 Oscar Braun-White

The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum…

High Energy Physics - Lattice · Physics 2021-08-26 Robert V. Harlander , Fabian Lange , Tobias Neumann

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to…

High Energy Physics - Phenomenology · Physics 2016-04-18 T. Gehrmann , J. M. Henn , N. A. Lo Presti

Decay rates of unpolarized top quarks into longitudinally and transversally polarized W bosons are calculated to second order in the strong coupling constant alpha_s. Including the finite bottom quark mass and electroweak effects, the…

High Energy Physics - Phenomenology · Physics 2012-07-25 Andrzej Czarnecki , Jurgen G. Korner , Jan H. Piclum

In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal…

High Energy Physics - Phenomenology · Physics 2024-08-07 Xin Guan , Franz Herzog , Yao Ma , Bernhard Mistlberger , Adi Suresh