All-multiplicity amplitudes with four massive quarks and identical-helicity gluons

التفاصيل البيبلوغرافية
العنوان: All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
المؤلفون: Lazopoulos, Achilleas, Ochirov, Alexander, Shi, Canxin
المصدر: JHEP 03 (2022) 009
سنة النشر: 2021
المجموعة: High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, High Energy Physics - Phenomenology
الوصف: We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity formula for two gauged massive particles of arbitrary spin and any number of identical-helicity gluons. Specializing to quantum chromodynamics (QCD), we solve the on-shell recursion relations in the presence of two pairs of massive quarks and an arbitrary number of identical-helicity gluons. We find closed-form expressions for the two distinct families of color-ordered four-quark amplitudes, in which all gluons comprise a single color-adjacent set. We compare the efficiency of the numerical evaluation of the two resulting analytic formulae against a numerical implementation of the off-shell Berends-Giele recursion. We find the formulae for both amplitude families to be faster for large multiplicities, while the simpler of the two is actually faster for any number of external legs. Our analytic results are provided in a computer-readable format as two ancillary files.
Comment: 24 pages + appendices + refs, 3 figures, 2 computer-readable ancillary files; v2 minor improvements, numerical-evaluation analysis simplified, journal version
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP03(2022)009
URL الوصول: http://arxiv.org/abs/2111.06847
رقم الأكسشن: edsarx.2111.06847
قاعدة البيانات: arXiv