Recursion relations for gauge theory amplitudes with massive particles.

By Simon D Badger, E. Glover, V. Khoze, Peter Svrček. 2005

198 citations recorded by the source corpus.

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide new results for all amplitudes with a pair of scalars and n ≤ 4 gluons. These amplitudes can be used as building blocks in the computation of one-loop 6-gluon amplitudes using unitarity based methods.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e33b82c88a9a3fd4ca3581c2058148ecd2a3a190

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In Nuclear and High Energy Physics

1. F. Cachazo
2. C. Cheung
3. R. Britto
4. Simon Badger
5. Pierpaolo Mastrolia
6. Kasper Risager
7. R. Roiban
8. Bo Feng

Citations in the corpus

• Cut-constructible part of QCD amplitudes (2006, background): “r external particles, and up tosix, in special helicity configurations, have been worked out along this way [31,48,32,25,49]. Recent progress in deriving the tree-amplitude ingredients has appeared in [50,51,52,53,54,55]. Alternatively, one can split Ascalar into a cut-constructible piece and a remai”
• Black hole binary dynamics from the double copy and effective theory (2019, methodology): “[96], the other two contain undesirable spurious singularities that complicate loop integration.”
• Direct extraction of one loop rational terms (2008, background): “…3+, 4−, 5−) ) (5.44) = −1 6 C [4] 4;total − 1 2 C [2] 3;total − 5 ∑ k=1 sk(k+1) 6 C [2] 2;k(k+1)(1 +, 2+, 3+, 4−, 5−) (5.45) The computation of box contributions follows in the same way as for the all-plus configuration though the lack of symmetry means each coefficient must be computed separately.”
• A direct proof of the CSW rules (2005, methodology): “The methods of BCFW recursion have been applied and extended with great success to both tree-level calculations in Yang–Mills and other theories [41, 42, 43, 44, 45, 46, 47, 48] as well as one-loop calculations [49, 50, 51, 52], and, in some of these cases, been merged with technology such as unitar”
• Taming tree amplitudes in general relativity (2007, methodology): “The BCFW method has been successfully applied in many contexts involving massless particles at tree and loop level [12, 13, 14, 15, 16, 17, 18, 19] as well as for massive particles at tree level [20].”
• Consistency Conditions on the S-Matrix of Massless Particles (2007, methodology): “A good reason to believe that this might be possible is the analysis of [44] where amplitudes of massive scalars and gluons were constructed using a suitable modification of BCFW deformations.”
• Comix, a new matrix element generator (2008, unknown): “36 74 v2 [ he p- ph ] 2 4 N ov 2 00”