Non-perturbative renormalisation and running of BSM four-quark operators in Nf= 2 QCD
Entidad
UAM. Departamento de Física TeóricaEditor
SpringerFecha de edición
2018-07-17Cita
10.1140/epjc/s10052-018-6002-y
European Physical Journal C 78.7 (2018): 579
ISSN
1434-6044 (print); 1434-6052 (online)DOI
10.1140/epjc/s10052-018-6002-yFinanciado por
G.H., C.P. and D.P. acknowledge support by the Spanish MINECO grant FPA2015-68541-P (MINECO/FEDER), the MINECO’s Centro de Excelencia Severo Ochoa Programme under grant SEV-2016-0597 and the Ramón y Cajal Programme RYC-2012-10819. M.P. acknowledges partial support by the MIUR-PRIN grant 2010YJ2NYW and by the INFN SUMA projecProyecto
Gobierno de España. FPA2015-68541-P; Gobierno de España. SEV-2016-0597Versión del editor
https://doi.org/10.1140/epjc/s10052-018-6002-yMaterias
Quantum chromodynamics; Lattice spacings; Lattices; FísicaDerechos
© 2018, The Author(s)Resumen
We perform a non-perturbative study of the scale-dependent renormalisation factors of a complete set of dimension-six four-fermion operators without power subtractions. The renormalisation-group (RG) running is determined in the continuum limit for a specific Schrödinger Functional (SF) renormalisation scheme in the framework of lattice QCD with two dynamical flavours (Nf= 2). The theory is regularised on a lattice with a plaquette Wilson action and O(a)-improved Wilson fermions. For one of these operators, the computation had been performed in Dimopoulos et al. (JHEP 0805, 065 (2008). arXiv:0712.2429); the present work completes the study for the rest of the operator basis, on the same simulations (configuration ensembles). The related weak matrix elements arise in several operator product expansions; in Δ F= 2 transitions they contain the QCD long-distance effects, including contributions from beyond-Standard Model (BSM) processes. Some of these operators mix under renormalisation and their RG-running is governed by anomalous dimension matrices. In Papinutto et al. (Eur Phys J C 77(6), 376 (2017). arXiv:1612.06461) the RG formalism for the operator basis has been worked out in full generality and the anomalous dimension matrix has been calculated in NLO perturbation theory. Here the discussion is extended to the matrix step-scaling functions, which are used in finite-size recursive techniques. We rely on these matrix-SSFs to obtain non-perturbative estimates of the operator anomalous dimensions for scales ranging from O(Λ QCD) to O(MW)
Lista de ficheros
Google Scholar:Dimopoulos, P.
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Herdoiza Bolaños, Gregorio
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Papinutto, Mauro
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Pena Ruano, Carlos Roberto
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Preti, D.
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Vladikas, A.
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