Soft Expansion of DoubleRealVirtual Corrections to Higgs Production at N$^3$LO
We present methods to compute higher orders in the threshold expansion for the oneloop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N ^{3}LO Higgs production cross section beyond the softvirtual approximation. We use reverse unitarity to expand the phasespace integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triplereal radiation relevant to N ^{3}LO Higgs production. The second uses a particular factorization of the three body phasespace measure and the knowledge of the scaling properties of the integral itself. Our result is presented as a Laurent expansion in the dimensional regulator, although some of the master integrals are computed to all orders in this parameter.
 Authors:

^{[1]};
^{[2]};
^{[1]};
^{[3]};
^{[4]};
^{[1]}
 ETH Zurich (Switzerland). Inst. for Theoretical Physics
 CERN Theory Div., Geneva (Switzerland); Univ. Catholique de Louvain, LouvainlaNeuve (Belgium). Center for Cosmology
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 NIKHEF, Amsterdam (Netherlands)
 Publication Date:
 Report Number(s):
 FERMILABPUB15089T; NIKHEF2015016; CERNPHTH2015092
Journal ID: ISSN 10298479; arXiv eprint number arXiv:1505.04110
 Grant/Contract Number:
 AC0207CH11359
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 8; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1212724
Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Herzog, Franz, and Mistlberger, Bernhard. Soft Expansion of DoubleRealVirtual Corrections to Higgs Production at N$^3$LO. United States: N. p.,
Web. doi:10.1007/JHEP08(2015)051.
Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Herzog, Franz, & Mistlberger, Bernhard. Soft Expansion of DoubleRealVirtual Corrections to Higgs Production at N$^3$LO. United States. doi:10.1007/JHEP08(2015)051.
Anastasiou, Charalampos, Duhr, Claude, Dulat, Falko, Furlan, Elisabetta, Herzog, Franz, and Mistlberger, Bernhard. 2015.
"Soft Expansion of DoubleRealVirtual Corrections to Higgs Production at N$^3$LO". United States.
doi:10.1007/JHEP08(2015)051. https://www.osti.gov/servlets/purl/1212724.
@article{osti_1212724,
title = {Soft Expansion of DoubleRealVirtual Corrections to Higgs Production at N$^3$LO},
author = {Anastasiou, Charalampos and Duhr, Claude and Dulat, Falko and Furlan, Elisabetta and Herzog, Franz and Mistlberger, Bernhard},
abstractNote = {We present methods to compute higher orders in the threshold expansion for the oneloop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N3LO Higgs production cross section beyond the softvirtual approximation. We use reverse unitarity to expand the phasespace integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triplereal radiation relevant to N3LO Higgs production. The second uses a particular factorization of the three body phasespace measure and the knowledge of the scaling properties of the integral itself. Our result is presented as a Laurent expansion in the dimensional regulator, although some of the master integrals are computed to all orders in this parameter.},
doi = {10.1007/JHEP08(2015)051},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2015,
place = {United States},
year = {2015},
month = {5}
}