Artículo

De Florian, D.; Mahakhud, M.; Mathews, P.; Mazzitelli, J.; Ravindran, V. "Quark and gluon spin-2 form factors to two-loops in QCD" (2014) Journal of High Energy Physics. 2014(2)
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Abstract:

We present complete two-loop radiative corrections to the graviton-quark-antiquark form factor G* → qq̄ and graviton-gluon-gluon form factor G* → g g in SU(N) gauge theory with nf light flavours using d-dimensional regularisation to all orders in ε = d - 4. Thisisanimportantingredienttonext-to-next-to- leadingorderQCDcorrections to hadronic scattering processes in models with large extra-dimensions where Kaluza-Klein graviton modes couple to Standard Model fields. We show that these form factors obey Sudakov integro-differential equation and the resulting cusp, collinear and soft anomalous dimensions coincide with those of electroweak vector boson and gluon form factors. We also find the universal behaviour of the infrared singularities in accordance with the proposal by Catani.

Registro:

Documento: Artículo
Título:Quark and gluon spin-2 form factors to two-loops in QCD
Autor:De Florian, D.; Mahakhud, M.; Mathews, P.; Mazzitelli, J.; Ravindran, V.
Filiación:Departamento de Física, FCEyN, Ciudad Universitaria, Capital Federal, Argentina
Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India
Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700 064, India
Institute of Mathematical Sciences, C.I.T Campus, 4th Cross St, Tharamani Chennai, Tamil Nadu 600 113, India
Palabras clave:NLO Computations; Phenomenology of Large extra dimensions
Año:2014
Volumen:2014
Número:2
DOI: http://dx.doi.org/10.1007/JHEP02(2014)035
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n2_p_DeFlorian

Referencias:

  • Arkani-Hamed, N., Dimopoulos, S., Dvali, G., The hierarchy problem and new dimensions at a millimeter (1998) Phys. Lett., 429, p. 263. , 1998PhLB.429.263A 10.1016/S0370-2693(98)00466-3 [hep-ph/9803315] [INSPIRE]
  • Antoniadis, I., Arkani-Hamed, N., Dimopoulos, S., Dvali, G., New dimensions at a millimeter to a Fermi and superstrings at a TeV (1998) Phys. Lett., 436, p. 257. , 1998PhLB.436.257A 10.1016/S0370-2693(98)00860-0 [hep-ph/9804398] [INSPIRE]
  • Arkani-Hamed, N., Dimopoulos, S., Dvali, G., Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity (1999) Phys. Rev. D, 59, p. 086004. , 1999PhRvD.59h6004A [hep-ph/9807344] [INSPIRE]
  • Randall, L., Sundrum, R., A large mass hierarchy from a small extra dimension (1999) Phys. Rev. Lett., 83, p. 3370. , 1999PhRvL.83.3370R 10.1103/PhysRevLett.83.3370 0946.81063 1744714 [hep-ph/9905221] [INSPIRE]
  • Search for contact interactions and large extra dimensions in dilepton events from pp collisions at √s = 7 TeV with the ATLAS detector (2013) Phys. Rev. D, 87, p. 015010. , ATLAS collaboration 2013PhRvD.87a5010A [arXiv:1211.1150] [INSPIRE]
  • Search for Extra Dimensions in diphoton events using proton-proton collisions recorded at √s = 7 TeV with the ATLAS detector at the LHC (2013) New J. Phys., 15, p. 043007. , ATLAS collaboration 10.1088/1367-2630/15/4/043007 [arXiv:1210.8389] [INSPIRE]
  • Search for Extra Dimensions using diphoton events in 7 TeV proton-proton collisions with the ATLAS detector (2012) Phys. Lett., 710, p. 538. , ATLAS collaboration 2012PhLB.710.538A [arXiv:1112.2194] [INSPIRE]
  • Search for signatures of extra dimensions in the diphoton mass spectrum at the Large Hadron Collider (2012) Phys. Rev. Lett., 108, p. 111801. , CMS collaboration 2012PhRvL.108k1801C 10.1103/PhysRevLett.108.111801 [arXiv:1112.0688] [INSPIRE]
  • Search for large extra dimensions in dimuon and dielectron events in pp collisions at √s = 7 TeV (2012) Phys. Lett., 711, p. 15. , CMS collaboration 2012PhLB.711.15C [arXiv:1202.3827] [INSPIRE]
  • Mathews, P., Ravindran, V., Sridhar, K., Van Neerven, W.L., Next-to-leading order QCD corrections to the Drell-Yan cross section in models of TeV-scale gravity (2005) Nuclear Physics B, 713 (1-3), pp. 333-377. , DOI 10.1016/j.nuclphysb.2005.01.051, PII S0550321305001045
  • Mathews, P., Ravindran, V., Angular distribution of Drell-Yan process at hadron colliders to NLO-QCD in models of TeV scale gravity (2006) Nuclear Physics B, 753 (1-2), pp. 1-15. , DOI 10.1016/j.nuclphysb.2006.06.039, PII S055032130600561X
  • Kumar, M., Mathews, P., Ravindran, V., PDF and scale uncertainties of various DY distributions in ADD and RS models at hadron colliders (2007) Eur. Phys. J. C, 49, p. 599. , 2007EPJC.49.599K 10.1140/epjc/s10052-006-0054-0 [hep-ph/0604135] [INSPIRE]
  • Kumar, M., Mathews, P., Ravindran, V., Tripathi, A., Diphoton signals in theories with large extra dimensions to NLO QCD at hadron colliders (2009) Phys. Lett., 672, p. 45. , 2009PhLB.672.45K 10.1016/j.physletb.2009.01.002 [arXiv:0811.1670] [INSPIRE]
  • Kumar, M., Mathews, P., Ravindran, V., Tripathi, A., Direct photon pair production at the LHC to order αs in TeV scale gravity models (2009) Nucl. Phys., 818, p. 28. , 2009NuPhB.818.28K 10.1016/j.nuclphysb.2009.03.022 [arXiv:0902.4894] [INSPIRE]
  • Agarwal, N., Ravindran, V., Tiwari, V., Tripathi, A., Z boson pair production at the LHC to O(αs) in TeV scale gravity models (2010) Nucl. Phys., 830, p. 248. , 2010NuPhB.830.248A 10.1016/j.nuclphysb.2009.12.032 [arXiv:0909.2651] [INSPIRE]
  • Agarwal, N., Ravindran, V., Tiwari, V.K., Tripathi, A., W+W- production in Large extra dimension model at next-to-leading order in QCD at the LHC (2010) Phys. Rev. D, 82, p. 036001. , 2010PhRvD.82c6001A [arXiv:1003.5450] [INSPIRE]
  • Agarwal, N., Ravindran, V., Tiwari, V.K., Tripathi, A., Next-to-leading order QCD corrections to W+W- production at the LHC in Randall Sundrum model (2010) Phys. Lett., 690, p. 390. , 2010PhLB.690.390A 10.1016/j.physletb.2010.05.063 [arXiv:1003.5445] [INSPIRE]
  • Frederix, R., Diphoton production in the ADD model to NLO + parton shower accuracy at the LHC (2012) JHEP, 12, p. 102. , 2012JHEP.12.102F 10.1007/JHEP12(2012)102 [arXiv:1209.6527] [INSPIRE]
  • Frederix, R., Mandal, M., Mathews, P., Ravindran, V., Seth, S., Drell-Yan, ZZ, W + W-production in SM & ADD Model to NLO + PS Accuracy at the LHC, , arXiv:1307.7013 [INSPIRE]
  • Nogueira, P., Automatic Feynman graph generation (1993) J. Comput. Phys., 105, p. 279. , 1993JCoPh.105.279N 10.1006/jcph.1993.1074 0782.68091 1210408 [INSPIRE]
  • Kuipers, J., Ueda, T., Vermaseren, J., Vollinga, J., FORM version 4.0 (2013) Comput. Phys. Commun., 184, p. 1453. , 2013CoPhC.184.1453K 10.1016/j.cpc.2012.12.028 [arXiv:1203.6543] [INSPIRE]
  • Gonsalves, R.J., Dimensionally regularized two loop on-shell quark form-factor (1983) Phys. Rev. D, 28, p. 1542. , 1983PhRvD.28.1542G [INSPIRE]
  • Kramer, G., Lampe, B., Two Jet Cross-Section in e+e- Annihilation (1987) Z. Phys. C, 34, p. 497. , 1987ZPhyC.34.497K [Erratum ibid. C 42 (1989) 504] [INSPIRE]
  • Matsuura, T., Van Neerven, W., Second Order Logarithmic Corrections to the Drell-Yan Cross-section (1988) Z. Phys. C, 38, p. 623. , 1988ZPhyC.38.623M [INSPIRE]
  • Matsuura, T., Van Der Marck, S., Van Neerven, W., The Calculation of the Second Order Soft and Virtual Contributions to the Drell-Yan Cross-Section (1989) Nucl. Phys., 319, p. 570. , 1989NuPhB.319.570M 10.1016/0550-3213(89)90620-2 [INSPIRE]
  • Harlander, R.V., Virtual corrections to gg → H to two loops in the heavy top limit (2000) Phys. Lett., 492, p. 74. , 2000PhLB.492.74H 10.1016/S0370-2693(00)01042-X [hep-ph/0007289] [INSPIRE]
  • Anastasiou, C., Melnikov, K., Higgs boson production at hadron colliders in NNLO QCD (2002) Nucl. Phys., 646, p. 220. , 2002NuPhB.646.220A 10.1016/S0550-3213(02)00837-4 [hep-ph/0207004] [INSPIRE]
  • Ravindran, V., Smith, J., Van Neerven, W.L., NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions (2003) Nuclear Physics B, 665, pp. 325-366. , DOI 10.1016/S0550-3213(03)00457-7, PII S0550321303004577
  • Ravindran, V., Smith, J., Van Neerven, W.L., Two-loop corrections to Higgs boson production (2005) Nuclear Physics B, 704 (1-2), pp. 332-348. , DOI 10.1016/j.nuclphysb.2004.10.039, PII S055032130400820X
  • Tkachov, F., A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions (1981) Phys. Lett., 100, p. 65. , 1981PhLB.100.65T 10.1016/0370-2693(81)90288-4 607640 [INSPIRE]
  • Chetyrkin, K., Tkachov, F., Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops (1981) Nucl. Phys., 192, p. 159. , 1981NuPhB.192.159C 10.1016/0550-3213(81)90199-1 [INSPIRE]
  • Van Neerven, W., Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions (1986) Nucl. Phys., 268, p. 453. , 1986NuPhB.268.453V 10.1016/0550-3213(86)90165-3 [INSPIRE]
  • Cutkosky, R., Singularities and discontinuities of Feynman amplitudes (1960) J. Math. Phys., 1, p. 429. , 1960JMP.1.429C 10.1063/1.1703676 0122.22605 118351 [INSPIRE]
  • Baikov, P., Smirnov, V.A., Equivalence of recurrence relations for Feynman integrals with the same total number of external and loop momenta (2000) Phys. Lett., 477, p. 367. , 2000PhLB.477.367B 10.1016/S0370-2693(00)00222-7 1750177 [hep-ph/0001192] [INSPIRE]
  • Gehrmann, T., Huber, T., Maitre, D., Two-loop quark and gluon form factors in dimensional regularisation (2005) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 622 (3-4), pp. 295-302. , DOI 10.1016/j.physletb.2005.07.019, PII S0370269305009731
  • Gehrmann, T., Remiddi, E., Differential equations for two loop four point functions (2000) Nucl. Phys., 580, p. 485. , 2000NuPhB.580.485G 10.1016/S0550-3213(00)00223-6 1771380 [hep-ph/9912329] [INSPIRE]
  • Smirnov, V.A., (2004) Evaluating Feynman Integrals, Springer Tracts of Modern Physics, , Heidelberg
  • Laporta, S., High precision calculation of multiloop Feynman integrals by difference equations (2000) Int. J. Mod. Phys., 15, p. 5087. , 2000IJMPA.15.5087L 1811366 [hep-ph/0102033] [INSPIRE]
  • Anastasiou, C., Lazopoulos, A., Automatic integral reduction for higher order perturbative calculations (2004) JHEP, 7, p. 046. , 2004JHEP.07.046A 10.1088/1126-6708/2004/07/046 [hep-ph/0404258] [INSPIRE]
  • Studerus, C., Reduze-Feynman Integral Reduction in C++ (2010) Comput. Phys. Commun., 181, p. 1293. , 2010CoPhC.181.1293S 10.1016/j.cpc.2010.03.012 1219.81133 2644971 [arXiv:0912.2546] [INSPIRE]
  • Von Manteuffel, A., Studerus, C., Reduze 2 - Distributed Feynman Integral Reduction, , arXiv:1201.4330 [INSPIRE]
  • Lee, R., Presenting LiteRed: A Tool for the Loop InTEgrals REDuction, , arXiv:1212.2685 [INSPIRE]
  • Sudakov, V., Vertex parts at very high-energies in quantum electrodynamics (1956) Sov. Phys. JETP, 3, p. 65. , 0071.42803 93350 [INSPIRE]
  • Mueller, A.H., On the Asymptotic Behavior of the Sudakov Form-factor (1979) Phys. Rev. D, 20, p. 2037. , 1979PhRvD.20.2037M 532124 [INSPIRE]
  • Collins, J.C., Algorithm to Compute Corrections to the Sudakov Form-factor (1980) Phys. Rev. D, 22, p. 1478. , 1980PhRvD.22.1478C [INSPIRE]
  • Sen, A., Asymptotic Behavior of the Sudakov Form-Factor in QCD (1981) Phys. Rev. D, 24, p. 3281. , 1981PhRvD.24.3281S [INSPIRE]
  • Collins, J.C., Sudakov form factors (1989) Perturbative QCD, Advanced Series on Directions in High Energy Physics, 5. , A.H. Mueller ed., World Scientific, Singapore, ANL-HEP-PR-84-36
  • Moch, S., Vogt, A., Higher-order soft corrections to lepton pair and Higgs boson production (2005) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 631 (1-2), pp. 48-57. , DOI 10.1016/j.physletb.2005.09.061, PII S0370269305013985
  • Laenen, E., Magnea, L., Threshold resummation for electroweak annihilation from DIS data (2006) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 632 (2-3), pp. 270-276. , DOI 10.1016/j.physletb.2005.10.038, PII S0370269305015297
  • Idilbi, A., Ji, X.-D., Ma, J.-P., Yuan, F., Threshold resummation for Higgs production in effective field theory (2006) Phys. Rev. D, 73, p. 077501. , 2006PhRvD.73g7501I [hep-ph/0509294] [INSPIRE]
  • Ravindran, V., On Sudakov and soft resummations in QCD (2006) Nuclear Physics B, 746 (1-2), pp. 58-76. , DOI 10.1016/j.nuclphysb.2006.04.008, PII S0550321306003233
  • Kodaira, J., Trentadue, L., Summing Soft Emission in QCD (1982) Phys. Lett., 112, p. 66. , 1982PhLB.112.66K 10.1016/0370-2693(82)90907-8 [INSPIRE]
  • Moch, S., Vermaseren, J.A.M., Vogt, A., The three-loop splitting functions in QCD: The non-singlet case (2004) Nuclear Physics B, 688 (1-2), pp. 101-134. , DOI 10.1016/j.nuclphysb.2004.03.030, PII S0550321304002445
  • Catani, S., The singular behavior of QCD amplitudes at two loop order (1998) Phys. Lett., 427, p. 161. , 1998PhLB.427.161C 10.1016/S0370-2693(98)00332-3 [hep-ph/9802439] [INSPIRE]
  • Sterman, G.F., Tejeda-Yeomans, M.E., Multiloop amplitudes and resummation (2003) Phys. Lett., 552, p. 48. , 2003PhLB.552.48S 10.1016/S0370-2693(02)03100-3 [hep-ph/0210130] [INSPIRE]
  • Becher, T., Neubert, M., Infrared singularities of scattering amplitudes in perturbative QCD (2009) Phys. Rev. Lett., 102, p. 162001. , 2009PhRvL.102p2001B 10.1103/PhysRevLett.102.162001 [arXiv:0901.0722] [INSPIRE]
  • Gardi, E., Magnea, L., Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes (2009) JHEP, 3, p. 079. , 2009JHEP.03.079G 10.1088/1126-6708/2009/03/079 [arXiv:0901.1091] [INSPIRE]
  • Anastasiou, C., Glover, E.W.N., Oleari, C., Tejeda-Yeomans, M.E., Two-loop QCD corrections to massless quark-gluon scattering (2001) Nuclear Physics B, 605 (1-3), pp. 486-516. , DOI 10.1016/S0550-3213(01)00195-X, PII S055032130100195X
  • Anastasiou, C., Glover, E.W.N., Oleari, C., Tejeda-Yeomans, M.E., Two-loop QCD corrections to massless identical quark scattering (2001) Nuclear Physics B, 601 (1-2), pp. 341-360. , DOI 10.1016/S0550-3213(01)00080-3, PII S0550321301000803
  • Anastasiou, C., Glover, E.W.N., Oleari, C., Tejeda-Yeomans, M.E., Two-loop QCD corrections to the scattering of massless distinct quarks (2001) Nuclear Physics B, 601 (1-2), pp. 318-340. , DOI 10.1016/S0550-3213(01)00079-7, PII S0550321301000797
  • Glover, E.W.N., Oleari, C., Tejeda-Yeomans, M.E., Two-loop QCD corrections to gluon-gluon scatteringstar sign (2001) Nuclear Physics B, 605 (1-3), pp. 467-485. , DOI 10.1016/S0550-3213(01)00210-3, PII S0550321301002103
  • Artoisenet, P., A framework for Higgs characterisation (2013) JHEP, 11, p. 043. , 2013JHEP.11.043A 10.1007/JHEP11(2013)043 [arXiv:1306.6464] [INSPIRE]
  • Kumar, M., Mathews, P., Pankov, A., Paver, N., Ravindran, V., Tsytrinov, A.V., Spin-analysis of s-channel diphoton resonances at the LHC (2011) Phys. Rev. D, 84, p. 115008. , 2011PhRvD.84k5008K [arXiv:1108.3764] [INSPIRE]
  • De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J., Ravindran, V., Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale Gravity, , arXiv:1312.7173 [INSPIRE]

Citas:

---------- APA ----------
De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J. & Ravindran, V. (2014) . Quark and gluon spin-2 form factors to two-loops in QCD. Journal of High Energy Physics, 2014(2).
http://dx.doi.org/10.1007/JHEP02(2014)035
---------- CHICAGO ----------
De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J., Ravindran, V. "Quark and gluon spin-2 form factors to two-loops in QCD" . Journal of High Energy Physics 2014, no. 2 (2014).
http://dx.doi.org/10.1007/JHEP02(2014)035
---------- MLA ----------
De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J., Ravindran, V. "Quark and gluon spin-2 form factors to two-loops in QCD" . Journal of High Energy Physics, vol. 2014, no. 2, 2014.
http://dx.doi.org/10.1007/JHEP02(2014)035
---------- VANCOUVER ----------
De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J., Ravindran, V. Quark and gluon spin-2 form factors to two-loops in QCD. J. High Energy Phys. 2014;2014(2).
http://dx.doi.org/10.1007/JHEP02(2014)035