Abstract
We calculate the complete set of two-loop leading-colour QCD helicity amplitudes for γγj-production at hadron colliders. Our results are presented in a compact, fully-analytical form.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. von Manteuffel and R. M. Schabinger, A novel approach to integration by parts reduction, Phys. Lett. B 744 (2015) 101 [arXiv:1406.4513] [INSPIRE].
T. Peraro, Scattering amplitudes over finite fields and multivariate functional reconstruction, JHEP 12 (2016) 030 [arXiv:1608.01902] [INSPIRE].
J. Böhm, A. Georgoudis, K. J. Larsen, H. Schönemann and Y. Zhang, Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections, JHEP 09 (2018) 024 [arXiv:1805.01873] [INSPIRE].
A. V. Kotikov and S. Teber, Multi-loop techniques for massless Feynman diagram calculations, Phys. Part. Nucl. 50 (2019) 1 [arXiv:1805.05109] [INSPIRE].
H. A. Chawdhry, M. A. Lim and A. Mitov, Two-loop five-point massless QCD amplitudes within the integration-by-parts approach, Phys. Rev. D 99 (2019) 076011 [arXiv:1805.09182] [INSPIRE].
J. Bosma, K. J. Larsen and Y. Zhang, Differential equations for loop integrals without squared propagators, PoS LL2018 (2018) 064 [arXiv:1807.01560] [INSPIRE].
T. Gehrmann, J. M. Henn and N. A. Lo Presti, Pentagon functions for massless planar scattering amplitudes, JHEP 10 (2018) 103 [arXiv:1807.09812] [INSPIRE].
S. Abreu, B. Page and M. Zeng, Differential equations from unitarity cuts: nonplanar hexa-box integrals, JHEP 01 (2019) 006 [arXiv:1807.11522] [INSPIRE].
D. Chicherin, T. Gehrmann, J. M. Henn, N. A. Lo Presti, V. Mitev and P. Wasser, Analytic result for the nonplanar hexa-box integrals, JHEP 03 (2019) 042 [arXiv:1809.06240] [INSPIRE].
P. Mastrolia and S. Mizera, Feynman integrals and intersection theory, JHEP 02 (2019) 139 [arXiv:1810.03818] [INSPIRE].
D. Chicherin, J. M. Henn and E. Sokatchev, Amplitudes from anomalous superconformal symmetry, JHEP 01 (2019) 179 [arXiv:1811.02560] [INSPIRE].
G. Kälin, G. Mogull and A. Ochirov, Two-loop N = 2 SQCD amplitudes with external matter from iterated cuts, JHEP 07 (2019) 120 [arXiv:1811.09604] [INSPIRE].
P. Maierhöfer and J. Usovitsch, Kira 1.2 release notes, arXiv:1812.01491 [INSPIRE].
A. Kardos, A new reduction strategy for special negative sectors of planar two-loop integrals without Laporta algorithm, arXiv:1812.05622 [INSPIRE].
A. V. Smirnov and F. S. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic, Comput. Phys. Commun. 247 (2020) 106877 [arXiv:1901.07808] [INSPIRE].
H. Frellesvig et al., Decomposition of Feynman integrals on the maximal cut by intersection numbers, JHEP 05 (2019) 153 [arXiv:1901.11510] [INSPIRE].
S. Caron-Huot, L. J. Dixon, F. Dulat, M. von Hippel, A. J. McLeod and G. Papathanasiou, Six-gluon amplitudes in planar N = 4 super-Yang-Mills theory at six and seven loops, JHEP 08 (2019) 016 [arXiv:1903.10890] [INSPIRE].
D. Bendle et al., Integration-by-parts reductions of Feynman integrals using singular and GPI-space, JHEP 02 (2020) 079 [arXiv:1908.04301] [INSPIRE].
C. G. Papadopoulos and C. Wever, Internal reduction method for computing Feynman integrals, JHEP 02 (2020) 112 [arXiv:1910.06275] [INSPIRE].
D. C. Dunbar, J. H. Godwin, W. B. Perkins and J. M. W. Strong, Color dressed unitarity and recursion for Yang-Mills two-loop all-plus amplitudes, Phys. Rev. D 101 (2020) 016009 [arXiv:1911.06547] [INSPIRE].
T. Peraro, Analytic multi-loop results using finite fields and dataflow graphs with FiniteFlow, in 14th international symposium on radiative corrections: application of quantum field theory to phenomenology, PoS RADCOR2019 (2019) 077 [arXiv:1912.03142] [INSPIRE].
X. Guan, X. Liu and Y.-Q. Ma, Complete reduction of integrals in two-loop five-light-parton scattering amplitudes, Chin. Phys. C 44 (2020) 093106 [arXiv:1912.09294] [INSPIRE].
D. C. Dunbar, W. B. Perkins and J. M. W. Strong, n-point QCD two-loop amplitude, Phys. Rev. D 101 (2020) 076001 [arXiv:2001.11347] [INSPIRE].
A. V. Smirnov and V. A. Smirnov, How to choose master integrals, Nucl. Phys. B 960 (2020) 115213 [arXiv:2002.08042] [INSPIRE].
J. Usovitsch, Factorization of denominators in integration-by-parts reductions, arXiv:2002.08173 [INSPIRE].
C. Anastasiou, R. Haindl, G. Sterman, Z. Yang and M. Zeng, Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation, JHEP 04 (2021) 222 [arXiv:2008.12293] [INSPIRE].
S. Abreu et al., Caravel: a C++ framework for the computation of multi-loop amplitudes with numerical unitarity, arXiv:2009.11957 [INSPIRE].
D. D. Canko, C. G. Papadopoulos and N. Syrrakos, Analytic representation of all planar two-loop five-point master integrals with one off-shell leg, JHEP 01 (2021) 199 [arXiv:2009.13917] [INSPIRE].
D. Bendle et al., Module intersection for the integration-by-parts reduction of multi-loop Feynman integrals, in MathemAmplitudes 2019: intersection theory and Feynman integrals, (2020) [arXiv:2010.06895] [INSPIRE].
L. J. Dixon, A. J. McLeod and M. Wilhelm, A three-point form factor through five loops, JHEP 04 (2021) 147 [arXiv:2012.12286] [INSPIRE].
S. Abreu, F. Febres Cordero, H. Ita, B. Page and M. Zeng, Five-point two-loop amplitudes from numerical unitarity, PoS LL2018 (2018) 016 [arXiv:1807.09447] [INSPIRE].
S. Badger et al., Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD, PoS LL2018 (2018) 006 [arXiv:1807.09709] [INSPIRE].
S. Abreu, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov, Planar two-loop five-parton amplitudes from numerical unitarity, JHEP 11 (2018) 116 [arXiv:1809.09067] [INSPIRE].
S. Badger, C. Brønnum-Hansen, H. B. Hartanto and T. Peraro, Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case, JHEP 01 (2019) 186 [arXiv:1811.11699] [INSPIRE].
S. Abreu, J. Dormans, F. Febres Cordero, H. Ita and B. Page, Analytic form of planar two-loop five-gluon scattering amplitudes in QCD, Phys. Rev. Lett. 122 (2019) 082002 [arXiv:1812.04586] [INSPIRE].
D. Chicherin, T. Gehrmann, J. M. Henn, P. Wasser, Y. Zhang and S. Zoia, The two-loop five-particle amplitude in N = 8 supergravity, JHEP 03 (2019) 115 [arXiv:1901.05932] [INSPIRE].
S. Abreu, J. Dormans, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov, Analytic form of the planar two-loop five-parton scattering amplitudes in QCD, JHEP 05 (2019) 084 [arXiv:1904.00945] [INSPIRE].
S. Badger et al., Analytic form of the full two-loop five-gluon all-plus helicity amplitude, Phys. Rev. Lett. 123 (2019) 071601 [arXiv:1905.03733] [INSPIRE].
H. B. Hartanto, S. Badger, C. Brønnum-Hansen and T. Peraro, A numerical evaluation of planar two-loop helicity amplitudes for a W -boson plus four partons, JHEP 09 (2019) 119 [arXiv:1906.11862] [INSPIRE].
H. A. Chawdhry, M. L. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to three-photon production at the LHC, JHEP 02 (2020) 057 [arXiv:1911.00479] [INSPIRE].
G. De Laurentis and D. Maître, Two-loop five-parton leading-colour finite remainders in the spinor-helicity formalism, JHEP 02 (2021) 016 [arXiv:2010.14525] [INSPIRE].
S. Abreu, B. Page, E. Pascual and V. Sotnikov, Leading-color two-loop QCD corrections for three-photon production at hadron colliders, JHEP 01 (2021) 078 [arXiv:2010.15834] [INSPIRE].
H. A. Chawdhry, M. Czakon, A. Mitov and R. Poncelet, Two-loop leading-color helicity amplitudes for three-photon production at the LHC, JHEP 06 (2021) 150 [arXiv:2012.13553] [INSPIRE].
B. Agarwal, F. Buccioni, A. von Manteuffel and L. Tancredi, Two-loop leading colour QCD corrections to \( q\overline{q} \) → γγg and qg → γγq, JHEP 04 (2021) 201 [arXiv:2102.01820] [INSPIRE].
S. Badger, H. B. Hartanto and S. Zoia, Two-loop QCD corrections to \( Wb\overline{b} \) production at hadron colliders, Phys. Rev. Lett. 127 (2021) 012001 [arXiv:2102.02516] [INSPIRE].
S. Abreu, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov, Leading-color two-loop QCD corrections for three-jet production at hadron colliders, arXiv:2102.13609 [INSPIRE].
S. Kallweit, V. Sotnikov and M. Wiesemann, Triphoton production at hadron colliders in NNLO QCD, Phys. Lett. B 812 (2021) 136013 [arXiv:2010.04681] [INSPIRE].
F. Caola, A. Von Manteuffel and L. Tancredi, Diphoton amplitudes in three-loop quantum chromodynamics, Phys. Rev. Lett. 126 (2021) 112004 [arXiv:2011.13946] [INSPIRE].
D. Chicherin and V. Sotnikov, Pentagon functions for scattering of five massless particles, JHEP 12 (2020) 167 [arXiv:2009.07803] [INSPIRE].
L. Chen, A prescription for projectors to compute helicity amplitudes in D dimensions, Eur. Phys. J. C 81 (2021) 417 [arXiv:1904.00705] [INSPIRE].
J. Klappert, S. Y. Klein and F. Lange, Interpolation of dense and sparse rational functions and other improvements in FireFly, Comput. Phys. Commun. 264 (2021) 107968 [arXiv:2004.01463] [INSPIRE].
M. Heller and A. von Manteuffel, MultivariateApart: generalized partial fractions, arXiv:2101.08283 [INSPIRE].
S. Actis, A. Denner, L. Hofer, J.-N. Lang, A. Scharf and S. Uccirati, RECOLA: REcursive Computation of One-Loop Amplitudes, Comput. Phys. Commun. 214 (2017) 140 [arXiv:1605.01090] [INSPIRE].
S. Borowka et al., pySecDec: a toolbox for the numerical evaluation of multi-scale integrals, Comput. Phys. Commun. 222 (2018) 313 [arXiv:1703.09692] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2103.04319
Supplementary Information
ESM 1
(ZIP 974 kb)
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Chawdhry, H.A., Czakon, M., Mitov, A. et al. Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC. J. High Energ. Phys. 2021, 164 (2021). https://doi.org/10.1007/JHEP07(2021)164
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2021)164