### Abstract

By performing resummation of small fermion–antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N=4 superYang–Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV polygons. This procedure is equivalent to summation of descendants of conformal primaries in the OPE framework. The resulting conformal partial waves are determined by multivariable hypergeometric series of Lauricella–Saran type.

Original language | English (US) |
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Pages (from-to) | 66-73 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 780 |

DOIs | |

State | Published - May 10 2018 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Multichannel conformal blocks for scattering amplitudes.** / Belitsky, Andrei.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Multichannel conformal blocks for scattering amplitudes

AU - Belitsky, Andrei

PY - 2018/5/10

Y1 - 2018/5/10

N2 - By performing resummation of small fermion–antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N=4 superYang–Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV polygons. This procedure is equivalent to summation of descendants of conformal primaries in the OPE framework. The resulting conformal partial waves are determined by multivariable hypergeometric series of Lauricella–Saran type.

AB - By performing resummation of small fermion–antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N=4 superYang–Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV polygons. This procedure is equivalent to summation of descendants of conformal primaries in the OPE framework. The resulting conformal partial waves are determined by multivariable hypergeometric series of Lauricella–Saran type.

UR - http://www.scopus.com/inward/record.url?scp=85042870233&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042870233&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.02.063

DO - 10.1016/j.physletb.2018.02.063

M3 - Article

AN - SCOPUS:85042870233

VL - 780

SP - 66

EP - 73

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -