Sum rule estimate of the subleading non-perturbative contributions to B s –B¯sB¯s mixing.

Mannel, T.; Pecjak, B.D.; Pivovarov, A.A.

Abstract

We use QCD sum rules to compute the matrix elements of the ΔB=2 operators appearing in the heavy-quark expansion of the width difference of the B s mass eigenstates. The main focus of our analysis is on the subleading operators R 2 and R 3, which appear at next-to-leading order in the 1/m b expansion. The matrix elements of these operators are already essential for precise phenomenology, but their calculation in lattice QCD is lacking and the values given here provide a first estimate of their values. We conclude that the violation of the factorization approximation for these matrix elements due to non-perturbative vacuum condensates is as low as 1–2%.

Citation

Mannel, T., Pecjak, B., & Pivovarov, A. (2011). Sum rule estimate of the subleading non-perturbative contributions to B s –B¯sB¯s mixing. The European Physical Journal C, 71(4), Article 1607. https://doi.org/10.1140/epjc/s10052-011-1607-4

• Journal Article Type: Article
• Publication Date: 2011-04
• Deposit Date: Nov 20, 2012
• Journal: European Physical Journal C: Particles and Fields
• Print ISSN: 1434-6044
• Electronic ISSN: 1434-6052
• Publisher: SpringerOpen
• Peer Reviewed: Peer Reviewed
• Volume: 71
• Issue: 4
• Article Number: 1607
• DOI: https://doi.org/10.1140/epjc/s10052-011-1607-4
• Public URL: https://durham-repository.worktribe.com/output/1493401