Collinear limits in QCD from MHV rules

We consider multi-parton collinear limits of QCD amplitudes at tree level. Using the MHV formalism we specify the underlying analytic structure of the resulting multi-collinear splitting functions. We derive general results for these splitting functions that are valid for specific numbers of negative helicity partons and an arbitrary number of positive helicity partons (or vice versa).

[1]  T. Gehrmann,et al.  Antenna subtraction at NNLO , 2005, hep-ph/0505111.

[2]  L. Dixon,et al.  The last of the finite loop amplitudes in QCD , 2005, hep-ph/0505055.

[3]  Peter Svrček,et al.  Recursion relations for gauge theory amplitudes with massive particles. , 2005, hep-th/0504159.

[4]  Peter Svrček,et al.  Lectures on Twistor Strings and Perturbative Yang-Mills Theory , 2005, hep-th/0504194.

[5]  F. Cachazo,et al.  One-loop amplitudes of gluons in supersymmetric QCD , 2005, hep-ph/0503132.

[6]  V. Khoze,et al.  Multi-gluon collinear limits from MHV diagrams , 2005, hep-ph/0503063.

[7]  N. Bjerrum-Bohr,et al.  One-loop gluon scattering amplitudes in theories with N<4 supersymmetries , 2005, hep-th/0502028.

[8]  C. Wen,et al.  Compact formulas for tree amplitudes of six partons , 2005, hep-th/0502009.

[9]  L. Dixon,et al.  On-shell recurrence relations for one-loop QCD amplitudes , 2005, hep-th/0501240.

[10]  C. Wen,et al.  Recursion relations for tree amplitudes in super gauge theories , 2005, hep-th/0501121.

[11]  E. Witten,et al.  Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory. , 2005, Physical review letters.

[12]  F. Cachazo,et al.  New recursion relations for tree amplitudes of gluons , 2004, hep-th/0412308.

[13]  R. Roiban,et al.  Dissolving N = 4 loop amplitudes into QCD tree amplitudes. , 2004, Physical review letters.

[14]  L. Dixon,et al.  All next-to-maximally-helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory , 2004, hep-th/0412210.

[15]  P. Mastrolia,et al.  Twistor-Inspired Construction of Electroweak Vector Boson Currents , 2004, hep-ph/0412167.

[16]  A. Brandhuber,et al.  Non-supersymmetric loop amplitudes and MHV vertices , 2004, hep-th/0412108.

[17]  F. Cachazo,et al.  Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills , 2004, hep-th/0412103.

[18]  N. Bjerrum-Bohr,et al.  Twistor space structure of the box coefficients of N=1 one-loop amplitudes , 2004, hep-th/0412023.

[19]  L. Dixon,et al.  N=1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts , 2004, hep-th/0410296.

[20]  M. Rozali,et al.  One-loop MHV amplitudes in supersymmetric gauge theories , 2004, hep-th/0410278.

[21]  A. Brandhuber,et al.  A Twistor approach to one-loop amplitudes in N=1 supersymmetric Yang-Mills theory , 2004, hep-th/0410280.

[22]  L. Dixon,et al.  All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory , 2004, hep-th/0410224.

[23]  F. Cachazo,et al.  Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts , 2004, hep-th/0410179.

[24]  Z. Bern,et al.  Loops in twistor space , 2004, hep-th/0410054.

[25]  A. Brandhuber,et al.  One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices , 2004, hep-th/0407214.

[26]  D. Kosower.  Next-to-maximal helicity violating amplitudes in gauge theory , 2004, hep-th/0406175.

[27]  Z. Bern,et al.  Twistor-space recursive formulation of gauge-theory amplitudes , 2004, hep-th/0406133.

[28]  V. Khoze,et al.  MHV rules for Higgs plus multi-gluon amplitudes , 2004, hep-th/0412275.

[29]  F. Cachazo.  Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes , 2004, hep-th/0410077.

[30]  E. Witten,et al.  Gauge theory amplitudes in twistor space and holomorphic anomaly , 2004, hep-th/0409245.

[31]  V. Khoze.  Gauge Theory Amplitudes, Scalar Graphs and Twistor Space , 2004, hep-th/0408233.

[32]  V. Khoze,et al.  Non-MHV Tree Amplitudes in Gauge Theory , 2004, hep-th/0407027.

[33]  E. Witten,et al.  Twistor space structure of one-loop amplitudes in gauge theory , 2004, hep-th/0406177.

[34]  Chuan-Jie Zhu,et al.  MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos , 2004, hep-th/0406146.

[35]  Chuan-Jie Zhu,et al.  MHV vertices and scattering amplitudes in gauge theory , 2004, hep-th/0406085.

[36]  S. Badger,et al.  Two-loop splitting functions in QCD , 2004, hep-ph/0405236.

[37]  L. Dixon,et al.  Two-loop g→gg splitting amplitudes in QCD , 2004, hep-ph/0404293.

[38]  V. Khoze,et al.  Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams , 2004, hep-th/0404072.

[39]  F. Maltoni,et al.  Higgs boson production in association with three jets , 2004, hep-ph/0404013.

[40]  Chuan-Jie Zhu.  The googly amplitudes in gauge theory , 2004, hep-th/0403115.

[41]  E. Witten,et al.  MHV vertices and tree amplitudes in gauge theory , 2004, hep-th/0403047.

[42]  D. Florian,et al.  The triple collinear limit of one-loop QCD amplitudes , 2003, hep-ph/0312067.

[43]  Fumihiko Sugino.  A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry (〔素粒子論グループ〕SUMMER INSTITUTE 2004) , 2003, hep-lat/0311021.

[44]  J. McGreevy,et al.  Two-dimensional superstrings and the supersymmetric matrix model , 2003, hep-th/0308105.

[45]  E. Witten.  Perturbative Gauge Theory as a String Theory in Twistor Space , 2003, hep-th/0312171.

[46]  D. Kosower.  Multiple singular emission in gauge theories , 2002, hep-ph/0212097.

[47]  M. Grazzini,et al.  The soft-gluon current at one-loop order☆ , 2000, hep-ph/0007142.

[48]  F. Maltoni,et al.  Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit , 1999, hep-ph/9909464.

[49]  M. Grazzini,et al.  Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond ☆ , 1999, hep-ph/9908523.

[50]  C. Schmidt,et al.  Infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order , 1999, hep-ph/9903516.

[51]  P. Uwer,et al.  One-loop splitting amplitudes in gauge theory , 1999, hep-ph/9903515.

[52]  D. Kosower.  All order collinear behavior in gauge theories , 1999, hep-ph/9901201.

[53]  M. Grazzini,et al.  Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations , 1998, hep-ph/9810389.

[54]  C. Schmidt,et al.  The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order , 1998, hep-ph/9810409.

[55]  J. Campbell,et al.  DOUBLE UNRESOLVED APPROXIMATIONS TO MULTIPARTON SCATTERING AMPLITUDES , 1997, hep-ph/9710255.

[56]  E. Glover,et al.  A COMPLETE O(ALPHA ALPHA S) CALCULATION OF THE PHOTON + 1 JET RATE IN E+E-ANNIHILATION , 1997, hep-ph/9707224.

[57]  S. Desai,et al.  Production of a Higgs boson plus two jets in hadronic collisions , 1996, hep-ph/9610541.

[58]  M. Seymour,et al.  A general algorithm for calculating jet cross sections in NLO QCD , 1996, hep-ph/9605323.

[59]  L. Dixon,et al.  PROGRESS IN ONE-LOOP QCD COMPUTATIONS , 1996, hep-ph/9602280.

[60]  Z. Kunszt,et al.  Three-jet cross sections to next-to-leading order , 1995, hep-ph/9512328.

[61]  A. Morgan,et al.  MASSIVE LOOP AMPLITUDES FROM UNITARITY , 1995, hep-ph/9511336.

[62]  J. Berger,et al.  Microscopic and macroscopic determinations of nuclear compressibility , 1995 .

[63]  Z. Bern,et al.  Factorization in one loop gauge theory , 1995, hep-ph/9503236.

[64]  L. Dixon,et al.  Fusing gauge theory tree amplitudes into loop amplitudes , 1994, hep-ph/9409265.

[65]  L. Dixon,et al.  One-loop n-point gauge theory amplitudes, unitarity and collinear limits , 1994, hep-ph/9403226.

[66]  Glover,et al.  Higher-order corrections to jet cross sections in e+e- annihilation. , 1992, Physical review. D, Particles and fields.

[67]  Dawson,et al.  Production rates for Higgs boson plus multiple jets at the Superconducting Super Collider. , 1992, Physical review letters.

[68]  J. Bagger,et al.  Supersymmetry and Supergravity , 1992 .

[69]  M. Mangano,et al.  Multi-Parton Amplitudes in Gauge Theories , 1991, hep-th/0509223.

[70]  D. Kosower.  Light-cone recurrence relations for QCD amplitudes , 1990 .

[71]  W. Giele,et al.  Recursive calculations for processes with n gluons , 1988 .

[72]  V. Nair.  A Current Algebra for Some Gauge Theory Amplitudes , 1988 .

[73]  Zhan Xu,et al.  Helicity amplitudes for multiple bremsstrahlung in massless non-abelian gauge theories , 1987 .

[74]  Taylor,et al.  Amplitude for n-gluon scattering. , 1986, Physical review letters.

[75]  J. Gunion,et al.  Improved analytic techniques for tree graph calculations and the ggqqℓℓ subprocess , 1985 .

[76]  S. Parke,et al.  Perturbative QCD utilizing extended supersymmetry , 1985 .

[77]  R. Kleiss,et al.  Spinor techniques for calculating pp → W±/Z0 + jets , 1985 .

[78]  Zhan Xu,et al.  HELICITY AMPLITUDES FOR MULTIPLE BREMSSTRAHLUNG IN MASSLESS NONABELIAN GAUGE THEORY. 2. DECOMPOSITION OF AMPLITUDES INTO GAUGE INVARIANT SUBSETS , 1985 .

[79]  G. Marchesini,et al.  Jet Structure and Infrared Sensitive Quantities in Perturbative QCD , 1983 .

[80]  P. D. Causmaecker,et al.  Multiple bremsstrahlung in gauge theories at high energies (I). General formalism for quantum electrodynamics , 1982 .

[81]  P. D. Causmaecker,et al.  Single bremsstrahlung processes in gauge theories , 1981 .

[82]  A. Vainshtein,et al.  Low-Energy Theorems for Higgs Boson Couplings to Photons , 1979 .

[83]  F. Wilczek.  Decays of Heavy Vector Mesons into Higgs Particles , 1977 .

[84]  G. Parisi,et al.  Asymptotic Freedom in Parton Language , 1977 .

[85]  M. Grisaru,et al.  Some properties of scattering amplitudes in supersymmetric theories , 1977 .