Master formulae for ΔF=2 NLO-QCD factors in the Standard Model and beyond

By Andrzej Buras, S. Jager, J. Urban. 2001

217 citations recorded by the source corpus.

Abstract We present analytic formulae for the QCD renormalization group factors relating the Wilson coefficients Ci(μt) and Ci(μ), with μ t = O (m t ) and μ 〈 K 0 |Q i |K 0 〉 in the NDR scheme using the lattice results in the LRI scheme. We give expressions for the mass differences ΔMK and ΔMB and the CP-violating parameter ϵK in terms of the non-perturbative parameters Bi and the Wilson coefficients Ci(μt). The latter summarize the dependence on new physics contributions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8c0f9cc7cc9d6fb6ecfbe3a874ec96a951e497ef

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In Nuclear and High Energy Physics

1. Andrzej Buras
2. M. Jung
3. Stefania Gori
4. A. Pich
5. J. Girrbach
6. Bjoern Duling
7. M. Blanke
8. F. Fazio

Citations in the corpus

• The anatomy of quark flavour observables in 331 models in the flavour precision era (2012, result): “) QCD corrections to Z0tree-level exchange [53] and the two factors involving 6 = (6) s (M Z0) (6) s (m t) (76) represent together NLO QCD renormalization group evolution from m tto M Z0as given in [54]. The renormalization scheme dependence of this evolution is cancelled by the one of CVLL 1 . We ”
• Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry (2014, methodology): “The errors due to the uncertainties in the input parameters (strong coupling and mass thresholds) are as well reduced by the same mechanism amounting to a maximum of 10% in ηKtt and of 5% in ηBtt [48].”
• ΔF = 2 observables and fine-tuning in a warped extra dimension with custodial protection (2008, methodology): “essary for this renormalisation group evolution have been calculated at twoloop level in [53,54] and analytic formulae for the relevant QCD factors analogous to η i in (4.1) and (4.2) can be found in [55]. When using these formulae we neglect the unknown O(α s) corrections to the Wilson coefficients o”
• Charged-Higgs phenomenology in the aligned two-Higgs-doublet model (2010, methodology): “d OVLL below. In the presence of a charged scalar, an enlarged effective Hamiltonian H∆B=2 eff = G2 FM 2 W 16π2 (V∗ tdVtb) 2 X i Ci(µ)Oi (5.7) has to be considered, involving a basis of eight operators [117, 118, 119, 120]: OVLL,VRR = d¯αγ µPL,Rb α d¯βγµP L,Rb β , OLR 1 = d¯αγ µPLb α d¯βγµP Rb β ,”
• The anatomy of Z′ and Z with flavour changing neutral currents in the flavour precision era (2012, methodology): “ults in [49,50] that are consistent with each other. As the values of the relevant B i parameters in these papers have been evaluated at = 3GeV and 4:2GeV, respectively, we have used the formulae in [47] to obtain the values of the matrix elements in question at Z 0. For simplicity we choose this s”
• Higgs-mediated FCNCs: natural flavour conservation vs. minimal flavour violation (2010, methodology): “W ) 5 given in [ 43 ]. A similar expression holds for the”