Abstract
We report our findings on the perturbative structure of \( \mathcal{N} \) = 4 supersymmetric Yang-Mills (SYM) theory in the infrared sector by computing inclusive scattering cross sections of on-shell particles. We use half-BPS, energy-momentum tensor and Konishi operators to produce singlet states in the scattering processes to probe the soft and the collinear properties of the cross sections. By appropriately defining the infrared safe observables, we obtain collinear splitting functions up to second order in the perturbation theory. The splitting functions and the infrared finite cross sections demonstrate several interesting connections with those in the perturbative QCD. We also determine the process independent soft distribution function up to third order in the perturbation theory and show that it is universal i.e. independent of the operators as well as the external states. Interestingly, the soft distribution function in \( \mathcal{N} \) = 4 SYM theory matches exactly with the leading transcendental part of the corresponding one in the QCD. This enables us to predict the third order soft plus virtual cross section for the production of the on-shell singlet states.
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S.D. Drell and T.-M. Yan, Massive Lepton Pair Production in Hadron-Hadron Collisions at High-Energies, Phys. Rev. Lett. 25 (1970) 316 [Erratum ibid. 25 (1970) 902] [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
D.J. Gross and F. Wilczek, Asymptotically Free Gauge Theories — I, Phys. Rev. D 8 (1973) 3633 [INSPIRE].
H. Georgi and H.D. Politzer, Electroproduction scaling in an asymptotically free theory of strong interactions, Phys. Rev. D 9 (1974) 416 [INSPIRE].
E.G. Floratos, D.A. Ross and C.T. Sachrajda, Higher Order Effects in Asymptotically Free Gauge Theories: The Anomalous Dimensions of Wilson Operators, Nucl. Phys. B 129 (1977) 66 [Erratum ibid. B 139 (1978) 545] [INSPIRE].
E.G. Floratos, D.A. Ross and C.T. Sachrajda, Higher Order Effects in Asymptotically Free Gauge Theories. 2. Flavor Singlet Wilson Operators and Coefficient Functions, Nucl. Phys. B 152 (1979) 493 [INSPIRE].
A. Gonzalez-Arroyo, C. Lopez and F.J. Yndurain, Second Order Contributions to the Structure Functions in Deep Inelastic Scattering. 1. Theoretical Calculations, Nucl. Phys. B 153 (1979) 161 [INSPIRE].
A. Gonzalez-Arroyo and C. Lopez, Second Order Contributions to the Structure Functions in Deep Inelastic Scattering. 3. The Singlet Case, Nucl. Phys. B 166 (1980) 429 [INSPIRE].
G. Curci, W. Furmanski and R. Petronzio, Evolution of Parton Densities Beyond Leading Order: The Nonsinglet Case, Nucl. Phys. B 175 (1980) 27 [INSPIRE].
W. Furmanski and R. Petronzio, Singlet Parton Densities Beyond Leading Order, Phys. Lett. 97B (1980) 437 [INSPIRE].
E.G. Floratos, C. Kounnas and R. Lacaze, Higher Order QCD Effects in Inclusive Annihilation and Deep Inelastic Scattering, Nucl. Phys. B 192 (1981) 417 [INSPIRE].
R. Hamberg and W.L. van Neerven, The Correct renormalization of the gluon operator in a covariant gauge, Nucl. Phys. B 379 (1992) 143 [INSPIRE].
A. Vogt, S. Moch and J.A.M. Vermaseren, The Three-loop splitting functions in QCD: The Singlet case, Nucl. Phys. B 691 (2004) 129 [hep-ph/0404111] [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [INSPIRE].
S. Moch, B. Ruijl, T. Ueda, J.A.M. Vermaseren and A. Vogt, Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond, JHEP 10 (2017) 041 [arXiv:1707.08315] [INSPIRE].
J. Davies, A. Vogt, B. Ruijl, T. Ueda and J.A.M. Vermaseren, Large-N f contributions to the four-loop splitting functions in QCD, Nucl. Phys. B 915 (2017) 335 [arXiv:1610.07477] [INSPIRE].
M.T. Grisaru, H.N. Pendleton and P. van Nieuwenhuizen, Supergravity and the S Matrix, Phys. Rev. D 15 (1977) 996 [INSPIRE].
H. Elvang and Y.-t. Huang, Scattering Amplitudes, arXiv:1308.1697 [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 (2003) 251602 [hep-th/0309040] [INSPIRE].
B. Eden, P.S. Howe, C. Schubert, E. Sokatchev and P.C. West, Simplifications of four point functions in N = 4 supersymmetric Yang-Mills theory at two loops, Phys. Lett. B 466 (1999) 20 [hep-th/9906051] [INSPIRE].
B. Eden, C. Schubert and E. Sokatchev, Three loop four point correlator in N = 4 SYM, Phys. Lett. B 482 (2000) 309 [hep-th/0003096] [INSPIRE].
B. Eden, C. Schubert and E. Sokatchev, Four point functions of chiral primary operators in N = 4 SYM, in Quantization, gauge theory and strings. Proceedings of International Conference dedicated to the memory of Professor Efim Fradkin, Moscow Russia (2000), pg. 178 [hep-th/0010005] [INSPIRE].
Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205] [INSPIRE].
J. Bartels, L.N. Lipatov and A. Sabio Vera, BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes, Phys. Rev. D 80 (2009) 045002 [arXiv:0802.2065] [INSPIRE].
Z. Bern et al., The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 78 (2008) 045007 [arXiv:0803.1465] [INSPIRE].
V.K. Dobrev and V.B. Petkova, On the group theoretical approach to extended conformal supersymmetry: classification of multiplets, Lett. Math. Phys. 9 (1985) 287 [INSPIRE].
S. Ferrara and E. Sokatchev, Short representations of SU(2, 2/N) and harmonic superspace analyticity, Lett. Math. Phys. 52 (2000) 247 [hep-th/9912168] [INSPIRE].
S. Ferrara, Superspace representations of SU(2, 2/N) superalgebras and multiplet shortening, PoS(tmr99)(1999)016.
S. Minwalla, Restrictions imposed by superconformal invariance on quantum field theories, Adv. Theor. Math. Phys. 2 (1998) 783 [hep-th/9712074] [INSPIRE].
J. Rasmussen, Comments on N = 4 superconformal algebras, Nucl. Phys. B 593 (2001) 634 [hep-th/0003035] [INSPIRE].
W.L. van Neerven, Infrared Behavior of On-shell Form-factors in a N = 4 Supersymmetric Yang-Mills Field Theory, Z. Phys. C 30 (1986) 595 [INSPIRE].
T. Gehrmann, J.M. Henn and T. Huber, The three-loop form factor in N = 4 super Yang-Mills, JHEP 03 (2012) 101 [arXiv:1112.4524] [INSPIRE].
A. Brandhuber, B. Spence, G. Travaglini and G. Yang, Form Factors in N = 4 Super Yang-Mills and Periodic Wilson Loops, JHEP 01 (2011) 134 [arXiv:1011.1899] [INSPIRE].
R. Boels, B.A. Kniehl and G. Yang, Master integrals for the four-loop Sudakov form factor, Nucl. Phys. B 902 (2016) 387 [arXiv:1508.03717] [INSPIRE].
A. Brandhuber, G. Travaglini and G. Yang, Analytic two-loop form factors in N = 4 SYM, JHEP 05 (2012) 082 [arXiv:1201.4170] [INSPIRE].
A. Brandhuber, O. Gurdogan, R. Mooney, G. Travaglini and G. Yang, Harmony of Super Form Factors, JHEP 10 (2011) 046 [arXiv:1107.5067] [INSPIRE].
L.V. Bork, D.I. Kazakov and G.S. Vartanov, On MHV Form Factors in Superspace for \( \mathcal{N} \) = 4 SYM Theory, JHEP 10 (2011) 133 [arXiv:1107.5551] [INSPIRE].
K. Konishi, Anomalous Supersymmetry Transformation of Some Composite Operators in SQCD, Phys. Lett. B 135 (1984) 439 [INSPIRE].
D. Nandan, C. Sieg, M. Wilhelm and G. Yang, Cutting through form factors and cross sections of non-protected operators in \( \mathcal{N} \) = 4 SYM, JHEP 06 (2015) 156 [arXiv:1410.8485] [INSPIRE].
T. Ahmed, P. Banerjee, P.K. Dhani, N. Rana, V. Ravindran and S. Seth, Konishi form factor at three loops in \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory, Phys. Rev. D 95 (2017) 085019 [arXiv:1610.05317] [INSPIRE].
P. Banerjee, P.K. Dhani, M. Mahakhud, V. Ravindran and S. Seth, Finite remainders of the Konishi at two loops in \( \mathcal{N} \) = 4 SYM, JHEP 05 (2017) 085 [arXiv:1612.00885] [INSPIRE].
M. Wilhelm, Amplitudes, Form Factors and the Dilatation Operator in \( \mathcal{N} \) = 4 SYM Theory, JHEP 02 (2015) 149 [arXiv:1410.6309] [INSPIRE].
F. Loebbert, D. Nandan, C. Sieg, M. Wilhelm and G. Yang, On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders, JHEP 10 (2015) 012 [arXiv:1504.06323] [INSPIRE].
A. Brandhuber, M. Kostacinska, B. Penante, G. Travaglini and D. Young, The SU(2|3) dynamic two-loop form factors, JHEP 08 (2016) 134 [arXiv:1606.08682] [INSPIRE].
F. Loebbert, C. Sieg, M. Wilhelm and G. Yang, Two-Loop SL(2) Form Factors and Maximal Transcendentality, JHEP 12 (2016) 090 [arXiv:1610.06567] [INSPIRE].
V.V. Sudakov, Vertex parts at very high-energies in quantum electrodynamics, Sov. Phys. JETP 3 (1956) 65 [Zh. Eksp. Teor. Fiz. 30 (1956) 87] [INSPIRE].
A.H. Mueller, On the Asymptotic Behavior of the Sudakov Form-factor, Phys. Rev. D 20 (1979) 2037 [INSPIRE].
J.C. Collins, Algorithm to Compute Corrections to the Sudakov Form-factor, Phys. Rev. D 22 (1980) 1478 [INSPIRE].
A. Sen, Asymptotic Behavior of the Sudakov Form-Factor in QCD, Phys. Rev. D 24 (1981) 3281 [INSPIRE].
S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
G.F. Sterman and M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130] [INSPIRE].
T. Becher and M. Neubert, Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 (2009) 162001 [Erratum ibid. 111 (2013) 199905] [arXiv:0901.0722] [INSPIRE].
E. Gardi and L. Magnea, Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes, JHEP 03 (2009) 079 [arXiv:0901.1091] [INSPIRE].
T. Kinoshita, Mass singularities of Feynman amplitudes, J. Math. Phys. 3 (1962) 650 [INSPIRE].
T.D. Lee and M. Nauenberg, Degenerate Systems and Mass Singularities, Phys. Rev. 133 (1964) B1549 [INSPIRE].
L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories, Nucl. Phys. B 121 (1977) 77 [INSPIRE].
F. Gliozzi, J. Scherk and D.I. Olive, Supersymmetry, Supergravity Theories and the Dual Spinor Model, Nucl. Phys. B 122 (1977) 253 [INSPIRE].
D.R.T. Jones, Charge Renormalization in a Supersymmetric Yang-Mills Theory, Phys. Lett. 72B (1977) 199 [INSPIRE].
E.C. Poggio and H.N. Pendleton, Vanishing of Charge Renormalization and Anomalies in aSupersymmetric Gauge Theory, Phys. Lett. B 72 (1977) 200 [INSPIRE].
W. Siegel, Supersymmetric Dimensional Regularization via Dimensional Reduction, Phys. Lett. B 84 (1979) 193 [INSPIRE].
D.M. Capper, D.R.T. Jones and P. van Nieuwenhuizen, Regularization by Dimensional Reduction of Supersymmetric and Nonsupersymmetric Gauge Theories, Nucl. Phys. B 167 (1980) 479 [INSPIRE].
E. Bergshoeff, M. de Roo and B. de Wit, Extended Conformal Supergravity, Nucl. Phys. B 182 (1981) 173 [INSPIRE].
G. ’t Hooft and M.J.G. Veltman, Regularization and Renormalization of Gauge Fields, Nucl. Phys. B 44 (1972) 189 [INSPIRE].
R.K. Ellis and J.C. Sexton, QCD Radiative Corrections to Parton Parton Scattering, Nucl. Phys. B 269 (1986) 445 [INSPIRE].
Z. Bern and D.A. Kosower, The Computation of loop amplitudes in gauge theories, Nucl. Phys. B 379 (1992) 451 [INSPIRE].
Z. Bern, A. De Freitas, L.J. Dixon and H.L. Wong, Supersymmetric regularization, two loop QCD amplitudes and coupling shifts, Phys. Rev. D 66 (2002) 085002 [hep-ph/0202271] [INSPIRE].
D. Anselmi, M.T. Grisaru and A. Johansen, A Critical behavior of anomalous currents, electric-magnetic universality and CFT in four-dimensions, Nucl. Phys. B 491 (1997) 221 [hep-th/9601023] [INSPIRE].
M. Bianchi, S. Kovacs, G. Rossi and Y.S. Stanev, Anomalous dimensions in N = 4 SYM theory at order g 4, Nucl. Phys. B 584 (2000) 216 [hep-th/0003203] [INSPIRE].
A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko and V.N. Velizhanin, Three loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model, Phys. Lett. B 595 (2004) 521 [Erratum ibid. B 632 (2006) 754] [hep-th/0404092] [INSPIRE].
B. Eden, C. Jarczak and E. Sokatchev, A Three-loop test of the dilatation operator in N = 4 SYM, Nucl. Phys. B 712 (2005) 157 [hep-th/0409009] [INSPIRE].
J.C. Collins, D.E. Soper and G.F. Sterman, Factorization for Short Distance Hadron-Hadron Scattering, Nucl. Phys. B 261 (1985) 104 [INSPIRE].
V.N. Gribov and L.N. Lipatov, Deep inelastic e p scattering in perturbation theory, Sov. J. Nucl. Phys. 15 (1972) 438 [Yad. Fiz. 15 (1972) 781] [INSPIRE].
L.N. Lipatov, The parton model and perturbation theory, Sov. J. Nucl. Phys. 20 (1975) 94 [Yad. Fiz. 20 (1974) 181] [INSPIRE].
Y.L. Dokshitzer, Calculation of the Structure Functions for Deep Inelastic Scattering and e+e− Annihilation by Perturbation Theory in Quantum Chromodynamics., Sov. Phys. JETP 46 (1977) 641 [Zh. Eksp. Teor. Fiz. 73 (1977) 1216] [INSPIRE].
E.G. Floratos, R. Lacaze and C. Kounnas, Space and Timelike Cut Vertices in QCD Beyond the Leading Order. 2. The Singlet Sector, Phys. Lett. B 98 (1981) 285 [INSPIRE].
E.G. Floratos, R. Lacaze and C. Kounnas, Space and Timelike Cut Vertices in QCD Beyond the Leading Order. 1. Nonsinglet Sector, Phys. Lett. B 98 (1981) 89 [INSPIRE].
A. Vogt, S. Moch and J. Vermaseren, The three-loop splitting functions in QCD, Nucl. Phys. Proc. Suppl. 152 (2006) 110 [hep-ph/0407321] [INSPIRE].
H.D. Politzer, Asymptotic Freedom: An Approach to Strong Interactions, Phys. Rept. 14 (1974) 129 [INSPIRE].
A.J. Buras, Asymptotic Freedom in Deep Inelastic Processes in the Leading Order and Beyond, Rev. Mod. Phys. 52 (1980) 199 [INSPIRE].
G. Altarelli, Partons in Quantum Chromodynamics, Phys. Rept. 81 (1982) 1 [INSPIRE].
K. Hagiwara et al., Quantum chromodynamics at short distances, Prog. Theor. Phys. Suppl. 77 (1983) 1 [INSPIRE].
D.J. Gross and F. Wilczek, Asymptotically free gauge theories. 2., Phys. Rev. D 9 (1974) 980 [INSPIRE].
P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [INSPIRE].
M. Tentyukov and J.A.M. Vermaseren, The Multithreaded version of FORM, Comput. Phys. Commun. 181 (2010) 1419 [hep-ph/0702279] [INSPIRE].
R.N. Lee, Presenting LiteRed: a tool for the Loop InTEgrals REDuction, arXiv:1212.2685 [INSPIRE].
R.N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523 (2014) 012059 [arXiv:1310.1145] [INSPIRE].
R. Hamberg, W.L. van Neerven and T. Matsuura, A complete calculation of the order α 2 s correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [Erratum ibid. B 644 (2002) 403] [INSPIRE].
R.V. Harlander and W.B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders, Phys. Rev. Lett. 88 (2002) 201801 [hep-ph/0201206] [INSPIRE].
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 (2002) 220 [hep-ph/0207004] [INSPIRE].
A. Pak, M. Rogal and M. Steinhauser, Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders, JHEP 09 (2011) 088 [arXiv:1107.3391] [INSPIRE].
T. Ahmed et al., NNLO QCD corrections to the Drell-Yan cross section in models of TeV-scale gravity, Eur. Phys. J. C 77 (2017) 22 [arXiv:1606.08454] [INSPIRE].
P. Banerjee, P.K. Dhani, M.C. Kumar, P. Mathews and V. Ravindran, NNLO QCD corrections to production of a spin-2 particle with nonuniversal couplings in the Drell-Yan process, Phys. Rev. D 97 (2018) 094028 [arXiv:1710.04184] [INSPIRE].
G.P. Korchemsky and A.V. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order, Nucl. Phys. B 283 (1987) 342 [INSPIRE].
N. Beisert, B. Eden and M. Staudacher, Transcendentality and Crossing, J. Stat. Mech. 0701 (2007) P01021 [hep-th/0610251] [INSPIRE].
D. Correa, J. Henn, J. Maldacena and A. Sever, The cusp anomalous dimension at three loops and beyond, JHEP 05 (2012) 098 [arXiv:1203.1019] [INSPIRE].
L.N. Lipatov, Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories, Sov. J. Nucl. Phys. 23 (1976) 338 [Yad. Fiz. 23 (1976) 642] [INSPIRE].
V.S. Fadin, E.A. Kuraev and L.N. Lipatov, On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B 60 (1975) 50 [INSPIRE].
I.I. Balitsky and L.N. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [Yad. Fiz. 28 (1978) 1597] [INSPIRE].
A.V. Kotikov and L.N. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories, Nucl. Phys. B 582 (2000) 19 [hep-ph/0004008] [INSPIRE].
A.V. Kotikov and L.N. Lipatov, DGLAP and BFKL equations in the N = 4 supersymmetric gauge theory, Nucl. Phys. B 661 (2003) 19 [Erratum ibid. B 685 (2004) 405] [hep-ph/0208220] [INSPIRE].
A.V. Kotikov, L.N. Lipatov and V.N. Velizhanin, Anomalous dimensions of Wilson operators in N = 4 SYM theory, Phys. Lett. B 557 (2003) 114 [hep-ph/0301021] [INSPIRE].
A.V. Kotikov and L.N. Lipatov, On the highest transcendentality in N = 4 SUSY, Nucl. Phys. B 769 (2007) 217 [hep-th/0611204] [INSPIRE].
C. Marboe and V. Velizhanin, Twist-2 at seven loops in planar \( \mathcal{N} \) = 4 SYM theory: full result and analytic properties, JHEP 11 (2016) 013 [arXiv:1607.06047] [INSPIRE].
Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248] [INSPIRE].
S.G. Naculich, H. Nastase and H.J. Schnitzer, Subleading-color contributions to gluon-gluon scattering in N = 4 SYM theory and relations to N = 8 supergravity, JHEP 11 (2008) 018 [arXiv:0809.0376] [INSPIRE].
L.V. Bork, D.I. Kazakov and G.S. Vartanov, On form factors in N = 4 SYM, JHEP 02 (2011) 063 [arXiv:1011.2440] [INSPIRE].
B. Eden, Three-loop universal structure constants in N = 4 SUSY Yang-Mills theory, arXiv:1207.3112 [INSPIRE].
J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 [arXiv:0709.2368] [INSPIRE].
J. Drummond, C. Duhr, B. Eden, P. Heslop, J. Pennington and V.A. Smirnov, Leading singularities and off-shell conformal integrals, JHEP 08 (2013) 133 [arXiv:1303.6909] [INSPIRE].
B. Basso, V. Goncalves, S. Komatsu and P. Vieira, Gluing Hexagons at Three Loops, Nucl. Phys. B 907 (2016) 695 [arXiv:1510.01683] [INSPIRE].
V. Gonçalves, Extracting OPE coefficient of Konishi at four loops, JHEP 03 (2017) 079 [arXiv:1607.02195] [INSPIRE].
B. Basso, V. Goncalves and S. Komatsu, Structure constants at wrapping order, JHEP 05 (2017) 124 [arXiv:1702.02154] [INSPIRE].
A. Georgoudis, V. Goncalves and R. Pereira, Konishi OPE coefficient at the five loop order, JHEP 11 (2018) 184 [arXiv:1710.06419] [INSPIRE].
T. Gehrmann, M. Jaquier, E.W.N. Glover and A. Koukoutsakis, Two-Loop QCD Corrections to the Helicity Amplitudes for H → 3 partons, JHEP 02 (2012) 056 [arXiv:1112.3554] [INSPIRE].
A. Koukoutsakis, Higgs bosons and QCD jets at two loops, Ph.D. Thesis, Durham University, Durham U.K. (2003).
P. Banerjee, P.K. Dhani and V. Ravindran, Two loop QCD corrections for the process Pseudo-scalar Higgs → 3 partons, JHEP 10 (2017) 067 [arXiv:1708.02387] [INSPIRE].
T. Gehrmann, E.W.N. Glover, T. Huber, N. Ikizlerli and C. Studerus, Calculation of the quark and gluon form factors to three loops in QCD, JHEP 06 (2010) 094 [arXiv:1004.3653] [INSPIRE].
T. Ahmed, T. Gehrmann, P. Mathews, N. Rana and V. Ravindran, Pseudo-scalar Form Factors at Three Loops in QCD, JHEP 11 (2015) 169 [arXiv:1510.01715] [INSPIRE].
T. Ahmed, G. Das, P. Mathews, N. Rana and V. Ravindran, Spin-2 Form Factors at Three Loop in QCD, JHEP 12 (2015) 084 [arXiv:1508.05043] [INSPIRE].
T. Ahmed, P. Banerjee, P.K. Dhani, P. Mathews, N. Rana and V. Ravindran, Three loop form factors of a massive spin-2 particle with nonuniversal coupling, Phys. Rev. D 95 (2017) 034035 [arXiv:1612.00024] [INSPIRE].
V. Ravindran, On Sudakov and soft resummations in QCD, Nucl. Phys. B 746 (2006) 58 [hep-ph/0512249] [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, Three-loop results for quark and gluon form-factors, Phys. Lett. B 625 (2005) 245 [hep-ph/0508055] [INSPIRE].
T. Ahmed, M. Mahakhud, N. Rana and V. Ravindran, Drell-Yan Production at Threshold to Third Order in QCD, Phys. Rev. Lett. 113 (2014) 112002 [arXiv:1404.0366] [INSPIRE].
C. Anastasiou et al., Higgs boson gluon-fusion production at threshold in N 3 LO QCD, Phys. Lett. B 737 (2014) 325 [arXiv:1403.4616] [INSPIRE].
Y. Li, A. von Manteuffel, R.M. Schabinger and H.X. Zhu, Soft-virtual corrections to Higgs production at N 3 LO, Phys. Rev. D 91 (2015) 036008 [arXiv:1412.2771] [INSPIRE].
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Banerjee, P., Chakraborty, A., Dhani, P.K. et al. Second order splitting functions and infrared safe cross sections in \( \mathcal{N} \) = 4 SYM theory. J. High Energ. Phys. 2019, 58 (2019). https://doi.org/10.1007/JHEP04(2019)058
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DOI: https://doi.org/10.1007/JHEP04(2019)058