Summary of WG I Tommaso Spadaro LNF INFN

Summary of WG I Tommaso Spadaro LNF INFN Prepared together with Albert Young and Federico Mescia Thanks to all the speakers and the organizers CKM 2010, September 6 th-10 th, Warwick, UK

1) Tree-level mediated decays -> CKM unitarity => High Precision SM tests Gm P. Debevic GF Vud GF Vus + D. Melconian, I. Towner, A. Juttner, A. Ramos, B. Maerkerich, A. Juttner, R. Escribano, K. Maltman, W. Marciano M. Veltri, E. De Lucia, B. Sciascia 2) Lepton Universality test --> sensitivity to the Higgs sector K->en/ K->mn C. Lazzeroni 3) FCNC processes -> SUSY, Little Higgs …. +e. K D. Guadagnoli, P. Dimopoulos

New and final Mu. Lan result for m lifetime Gm Final result after analysis of 2006 -7 data sets Impact on Gm: the normalization of the Flavor couplings avg: = 2196980. 3 ± 2. 2 ps (1. 0 ppm) GF = 1. 1663818(7) x 10 -5 Ge. V-2 (0. 6 ppm) See talk by P. Debevic: Mu. LAN collaboration

m lifetime measurements, 60 years of history 16 ppm 11 ppm

tm: experiment and theory facing each other , QED radiative corrections, van Ritbergen & Stuart, Nucl. Phys. B 564 (2000) 343 , weak interaction loop corrections

Gm GF Vud P. Debevic: Mu. LAN GF Vus D. Melconian, I. Towner, A. Juttner, A. Ramos, B. Maerkerich, A. Juttner, R. Escribano, K. Maltman, W. Marciano M. Veltri, E. De Lucia, B. Sciascia 2010: The Status of Lepton/Quark Universality 0. 02% |Vud|2 + |Vus|2 + |Vub|2 = 0. 9999(6) 0. 5% Error budget: 0. 0004 Vud + 0. 0004 Vus

Nuclear b decay: 0+-> 0+ T=1 Golden modes, q only vector current (CVC) q small SU(2) corrections Neutron b decay: n-> p l v Ø Both V and A contribute Vud Ø A extracted by the b-asymmetry measurements (angular correlations) Nuclear b decay: mirror decays o Like n decay – V & A contribute, need angular correlations o Recent analysis provides quantitative extraction of Vud Pion b decay: p+ -> p 0 l v ü only vector current (CVC) übut small Br (10 -8), experimental error still large and dominating

Nuclear b decay, 0+-> 0+ transitions with T=1 Vud determination involves 3 measurements: 1, the energy gap 2, the half life 3, the branching ratio I. II. I. Towner D. Melconian (Phase space)

Corrected Ft value See talk by D. Melconian

Ft values for 0+ 0+ transitions See talk by D. Melconian

Neutron b decay: n-> p l v 2 experimental inputs

Experimental status of n lifetime (PDG 2010) See talk by B. Märkisch

Status after new result from MAMBO II exp. See talk by B. Märkisch

Experimental status of l = g. A/g. V after Perkeo II See talk by B. Märkisch

Current status of Vud New See talk by I. S. Towner New

Current status of Vud Superallowed b decay currently yields most precise value of Vud, limited by theory uncertainties: Vud = 0. 97425(22) Vud measurement very robust and stable along the years T = ½ mirror nuclei, neutron, and pion decay consistent but with larger errors Still a particularly vibrant and lively field: stay tuned See talk by I. S. Towner

K->p mn & K-> p en Only vector current (CVC): f+(0)=1 + (ms-mu)2 ü ü Small SU(2) br. corrections f+(0), l+0, c+0 ? K->mn (p-> mn) Vus ü Only Axial current: no symmetry constraint f. K/fp ~ 1 + (ms-mu) t->hs ln v (inclusive modes) Both V and A but hard scale (mt) + inclusiveness -> OPE

Vus extraction from Kl 3

The experimental players in a per-mil game See talk by B. Sciascia (Flavia. Net Kaon WG), M. Veltri (Naxx), E. De Lucia

A critical re-analysis of literature data: BR’s, t’s See talk by B. Sciascia (Flavia. Net Kaon WG)

Form Factor parameterization See talk by B. Sciascia (Flavia. Net Kaon WG)

Form Factors: dispersive approach See talk by B. Sciascia (Flavia. Net Kaon WG)

FF: new results coming, NA 48/2 See talk by M. Veltri (NA 48/NA 62)

New results will come in a near future, KLOE-2 See talk by E. De Lucia (KLOE/KLOE-2)

New results will come in a near future, NA 62 New Player are coming NA 62 -> E. De Luci See talk by M. Veltri (NA 48/NA 62)

A new interesting idea to improve FF extraction See talk by R. Escribano

Promising: significant improvements for Km 3 See talk by R. Escribano

Present status of Vusf+(0) from Kl 3 data Theory still driving the error in the charged modes: SU(2) breaking corr. : vs See talk by B. Sciascia (Flavia. Net Kaon WG)

Present status of f+(0) from Lattice A precision of ~ 0. 5% is possible See talk by A. Jüttner (Flavia. Net Lattice WG)

Present status of f+(0) from Lattice Averages: See talk by A. Jüttner (Flavia. Net Lattice WG)

Data can cross-check Lattice or vice-versa See talk by B. Sciascia (Flavia. Net Kaon WG)

A. Juttner

f. K/fp @ the lattice state-of-the-art 2 results with NF=2+1 Similar accuracy, both published: f. K/fp = 1. 192(7)(6) f. K/fp = 1. 189(2)(7) f. K/fp = 1. 198(1)(+6 -8) BMW 2010* HPQDC 2007 MILC 2009 Wilson Staggered Share advisable features of good lattice calculations Continuum limit, finite volume effects, small pion mass * See talk by A. Ramos

f. K/fp a systematic approach for error definition Thorough analysis of main source of errors: Continuum limit, a 0 Finite volume effects, L = Na wrt 1/mp Small mp, corrections as exp(-Lm), Lm required > 4 For each source, fit for different assumptions Simultaneous fit for all the systematic sources Error from the spread of the results * See talk by A. Ramos

f. K/fp BMW 2010: one of the 1500 fits a = 0. 125 fm a = 0. 085 fm a = 0. 065 fm Close to the physical point! Simulated data close to the final value See talk by A. Ramos

NP test: bounds on scalar component (H+) See talk by B. Sciascia (Flavia. Net Kaon WG)

B. Marciano

An independent approach: Vus from t decays Comparison between lattice and other determinations 0. 2214(36) Missing ->K 4 pi, K 3 pi. . Adding these modes Vus will raise See talk by K. Maltman

See talk by D. Guadagnoli

Evaluation of CKM constraint from e. K up to 2007 M 12 K = F(r, h) BK 8/3 F 2 K M 2 K BK from Lattice, known at 10% Standard approximation: Since DGK ~ -2 DMK, assume fe = 45° Assume x = 0 See talk by D. Guadagnoli

Dramatic recent progress in BK evaluation (see P. Dimopoulos talk) * = @ the Continuum Limit Averages: Lahio, Lunghi, Van de Water: Lubicz: BK = 0. 725(26) BK = 0. 731(36) Present accuracy calls for improvements in e. K CKM contraint

Evaluation of CKM constraint at present (2010) Evaluation of superweak phase, fe = 43. 5° Buras, Guadagnoli (2008), Buras, Guadagnoli, Isidori (2010) reesamine the x = 0 assumption and evaluate at NLO ke eifsw/√ 2 The net effect is ke = 0. 94(2), imposing a ~2 s tension, confirmed by UT fit and CKM fitter See D. Guadagnoli talk

Important step forward by experiment for NP tests

RK in the SM

RK beyond the SM

The NA 48/NA 62 experiment

Measurement strategy: a counting experiment

Ke 2 and Km 2 Signal selection

Result for RK

RK: world average and Higgs exclusion plot

Summary of WG 1 – The present status A general consideration: in the LHC era, still a lively and vibrant field The door to the flavor realm, G : level! New result by Mu. Lan experiment @ PSI: Gm now at the 1 ppm Difficult to even think to improve on that Gm is like the fixed stars to which flavor physics has to confront Vud determination: An active community, many new experiments approved/running New experimental techniques, leading to new determination 0+ 0+ transitions dominate, but might change in a mid-term future Vus determination: Kl 2 rock solid status of experimental data, @0. 2% both from K l 3 and major and fundamental improvements by Lattice News from K oscillation (e. K) 2 s tension on CKM UT fits

Summary of WGI – The future perspectives Lattice reliability for Kaon observables gives confidence when going up to B (Super. B) Continuous further improvements from both experiments and theory on Kl 3 FF’s are easily foreseen new results by KLOE, NAxx LFV NP test from Ke 2/Km 2 new measurement @0. 5% presented for NA 62 improvement on 1. 3% mmt expected by KLOE And waiting for ultra rare K decay experiments: NA 62, KOTO for NP in FCNC, K pnn (see WG III) CKM 1 st row unitarity and gauge universality represent a tight constraint for any NP model