$\mathit CP$ VIOLATION PARAMETERS

$\mathit S_{ {{\mathit \pi}} {{\mathit \pi}} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ )

INSPIRE   PDGID:
S042SPI
$\mathit S_{ {{\mathit \pi}} {{\mathit \pi}} }$ = 2Im$\lambda /(1+\vert \lambda \vert ^2$), see the note in the $\mathit C_{ {{\mathit \pi}} {{\mathit \pi}} }$ datablock above.

VALUE DOCUMENT ID TECN  COMMENT
$\bf{ -0.670 \pm0.030}$ OUR AVERAGE
$-0.706$ $\pm0.042$ $\pm0.013$
AAIJ
2021O
 LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV
$-0.63$ $\pm0.05$ $\pm0.01$
AAIJ
2018O
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV
$-0.64$ $\pm0.08$ $\pm0.03$ 1
DALSENO
2013
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-0.68$ $\pm0.10$ $\pm0.03$
LEES
2013D
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.71$ $\pm0.13$ $\pm0.02$
AAIJ
2013BO
 LHCB Repl. by AAIJ 2018O
$-0.60$ $\pm0.11$ $\pm0.03$
AUBERT
2007AF
 BABR Repl. by LEES 2013D
$-0.61$ $\pm0.10$ $\pm0.04$
ISHINO
2007
BELL Repl. by DALSENO 2013
$-0.67$ $\pm0.16$ $\pm0.06$ 2
ABE
2005D
 BELL Repl. by ISHINO 2007
$-0.30$ $\pm0.17$ $\pm0.03$
AUBERT,BE
2005
BABR Repl. by AUBERT 2007AF
$-1.00$ $\pm0.21$ $\pm0.07$ 3
ABE
2004E
 BELL Repl. by ABE 2005D
$-1.23$ $\pm0.41$ ${}^{+0.08}_{-0.07}$
ABE
2003G
 BELL Repl. by ABE 2004E.
$-1.21$ ${}^{+0.38}_{-0.27}$ ${}^{+0.16}_{-0.13}$
ABE
2002M
 BELL Repl. by ABE 2003G
$0.03$ ${}^{+0.52}_{-0.56}$ $\pm0.11$ 4
AUBERT
2002D
 BABR Repl. by AUBERT 2002Q
$0.02$ $\pm0.34$ $\pm0.05$ 5
AUBERT
2002Q
 BABR Repl. by AUBERT,BE 2005
1  An isospin analysis using other BELLE measurements, disfavors the region of 23.8$^\circ{}<$ ${{\mathit \phi}_{{2}}}<$ 66.8$^\circ{}$ at 68$\%$ CL.
2  Rule out the $\mathit CP$-conserving case, $\mathit C_{{{\mathit \pi}} {{\mathit \pi}} }$ = $\mathit S_{{{\mathit \pi}} {{\mathit \pi}} }$ = 0, at the 5.4 sigma level.
3  Rule out the $\mathit CP$-conserving case, $\mathit C_{{{\mathit \pi}} {{\mathit \pi}} }$ = $\mathit S_{{{\mathit \pi}} {{\mathit \pi}} }$ = 0, at the 5.2 sigma level.
4  Corresponds to 90$\%$ confidence range $-0.89<\mathit S_{ {{\mathit \pi}} {{\mathit \pi}} }<0.85$.
5  Corresponds to 90$\%$ confidence range $-0.54<\mathit S_{ {{\mathit \pi}} {{\mathit \pi}} }<0.58$.
Conservation Laws:
$\mathit CP$ VIOLATION OBSERVED
References:
AAIJ 2021O
JHEP 2103 075 Observation of $CP$ violation in two-body $ {B}_{(s)}^0 $-meson decays to charged pions and kaons
AAIJ 2018O
PR D98 032004 Measurement of $C\!P$ asymmetries in two-body $B_{(s)}^{0}$-meson decays to charged pions and kaons
AAIJ 2013BO
JHEP 1310 183 First Measurement of Time-Dependent $\mathit CP$ Violation in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ Decays
DALSENO 2013
PR D88 092003 Measurement of the $\mathit CP$ Violation Parameters in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
LEES 2013D
PR D87 052009 Measurement of $\mathit CP$ Asymmetries and Branching Fractions in Charmless Two-Body ${{\mathit B}}$-Meson Decays to Pions and Kaons
AUBERT 2007AF
PRL 99 021603 Observation of $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
ISHINO 2007
PRL 98 211801 Observation of Direct $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays and Model-Independent Constraints on the Quark-Mixing Angle $\phi _{2}$
ABE 2005D
PRL 95 101801 Improved Evidence for Direct $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays and Model-Independent Constraints on ${{\mathit \phi}_{{2}}}$
AUBERT,BE 2005
PRL 95 151803 Improved Measurements of $\mathit CP$-Violating Asymmetry Amplitudes in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
ABE 2004E
PRL 93 021601 Observation of Large $\mathit CP$ Violation and Evidence for Direct $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
ABE 2003G
PR D68 012001 Evidence for $\mathit CP$ Violating Asymmetries ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays and Constraints on the $\mathit CKM$ Angle ${{\mathit \phi}}_{2}$
ABE 2002M
PRL 89 071801 Study of $\mathit CP$-Violating Asymmetries in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
AUBERT 2002D
PR D65 051502 Study of $\mathit CP$ Violating Asymmetries in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ , ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays
AUBERT 2002Q
PRL 89 281802 Measurements of Branching Fractions and $\mathit CP$-Violating Asymmetries in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ , ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ , ${{\mathit K}^{+}}{{\mathit K}^{-}}$ Decays