{"data":{"abstract":{"value":"<p>Observations are reported of different sources of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>C</mi><mi>P</mi></math> violation from an amplitude analysis of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy=\"false\">→</mo><mrow><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>−</mo></msup></mrow></math> decays, based on a data sample corresponding to an integrated luminosity of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mn>3</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></math> of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>p</mi><mi>p</mi></math> collisions recorded with the LHCb detector. A large <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>C</mi><mi>P</mi></math> asymmetry is observed in the decay amplitude involving the tensor <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><msub><mi>f</mi><mn>2</mn></msub><mo stretchy=\"false\">(</mo><mn>1270</mn><mo stretchy=\"false\">)</mo></math> resonance, and in addition significant <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>C</mi><mi>P</mi></math> violation is found in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>−</mo></msup><mi>S</mi></math> wave at low invariant mass. The presence of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>C</mi><mi>P</mi></math> violation related to interference between the <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>−</mo></msup></math><i>S</i> wave and the <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mrow><mi>P</mi></mrow></math> wave <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy=\"false\">→</mo><mrow><mi>ρ</mi><mo stretchy=\"false\">(</mo><mn>770</mn><msup><mo stretchy=\"false\">)</mo><mn>0</mn></msup><msup><mi>π</mi><mo>+</mo></msup></mrow></math> amplitude is also established; this causes large local asymmetries but cancels when integrated over the phase space of the decay. The results provide both qualitative and quantitative new insights into <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>C</mi><mi>P</mi></math> -violation effects in hadronic <math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mi>B</mi></math> decays.</p>","format":"html"},"articleType":"article","authors":[{"type":"Collaboration","name":"LHCb Collaboration"},{"type":"Person","name":"R. Aaij","firstname":"R.","surname":"Aaij","affiliationIds":["a30"]},{"type":"Person","name":"C. Abellán Beteta","firstname":"C.","surname":"Abellán Beteta","affiliationIds":["a47"]},{"type":"Person","name":"B. Adeva","firstname":"B.","surname":"Adeva","affiliationIds":["a44"]},{"type":"Person","name":"M. Adinolfi","firstname":"M.","surname":"Adinolfi","affiliationIds":["a51"]},{"type":"Person","name":"C. A. Aidala","firstname":"C. A.","surname":"Aidala","affiliationIds":["a78"]},{"type":"Person","name":"Z. 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