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Author  |
Donini, A.; Gonzalez, M.; Hirsch, M.; Neill, N.A. |
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Title |
Leading large Nc contributions to lepton number violating meson decays |
Type |
Journal Article |
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Year |
2026 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
113 |
Issue |
7 |
Pages |
075004 - 24pp |
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Abstract |
Lepton number violating meson decays, such as M-1(-) -> M-2(+) l(1)(-)l(2)(-), provide constraints on d = 9 Delta L = 2 operators. Renormalization group equation (RGE)-improved bounds on the Wilson coefficients of these operators have been presented in the literature, taking into account perturbative quantum chromodynamics (QCD) one-loop corrections and the corresponding operator mixing. Here, we present for the first time the contribution of connected diagrams to the hadronic matrix elements < M2 vertical bar Oh vertical bar M-1 >. These diagrams, usually overlooked under the assumption that < M2 vertical bar Oh|M-1 > similar to < M-2 vertical bar J(q3q4)vertical bar 0 > x < 0 vertical bar J(q1q2)vertical bar M-1 > >> < M-2 vertical bar J(q3q2) x J(q1q4 vertical bar)M(1 >), can give indeed a significant contribution to the matrix element. Including these connected diagrams is but the first step toward a full nonperturbative computation of the long-range QCD effects in these operators, that should be performed using lattice field theory techniques. However, connected diagrams represent the leading order in the 1/N-c expansion of the QCD nonperturbative effects and thus our work can be understood as a realistic, first approximation to a complete calculation of the long-range part of the matrix elements. |
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Address |
[Donini, Andrea; Hirsch, Martin] Univ Valencia, Inst Fis Corpuscular, CSIC, Parc Cientif UV,C Catedrat Jose Beltran 2, E-46980 Paterna, Valencia, Spain, Email: donini@ific.uv.es; |
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Publisher |
Amer Physical Soc |
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Language |
English |
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Original Title |
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Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
2470-0010 |
ISBN |
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Notes |
WOS:001738575200001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
7183 |
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