[PWGHF] Update XicToXiPiPi KF analysis output tables

[creetz16]

@lubynets @fgrosa @fchinu

• Remove unused variables from KF lite tree: CpaLambdaToXi, CpaXYLambdaToXi, MaxNormalisedDeltaIP
• unify naming convention of chi2 deviations
• Add missing trigger features to candidateBase output table in candidateCreatorXicToXiPiPi: radiusLambda, pTBachelorPi
• Add missing trigger features to KF lite output tree in treeCreatorXicToXiPiPi: InvMassXi, InvMassLambda, radiusLambda, pTBachelorPi

[github-actions]

O2 linter results: ❌ 0 errors, ⚠️ 1 warnings, 🔕 4 disabled

[alibuild]

Error while checking build/O2Physics/code-check for 4ee3c70 at 2026-07-10 13:22:

## sw/BUILD/O2Physics-code-check-latest/log
--
========== List of issues found ==========
++ echo 'Found 23 errors and 0 warnings.'
Found 23 errors and 0 warnings.
++ [[ 23 -gt 0 ]]
++ cat /sw/BUILD/92a3378c98c0b13053281bc722195318a55e095a/O2Physics-code-check/errors.txt
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:10: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:48: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:88: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:128: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:167: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:154:208: error: implicit conversion 'bool' -> 'int' [readability-implicit-bool-conversion,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:418:39: error: no header providing "std::hypot" is directly included [misc-include-cleaner,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:588:7: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:589:37: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:602:7: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:603:53: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:611:19: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:611:30: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:618:13: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:621:29: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:649:7: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:653:29: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:654:41: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:655:41: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:693:13: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:696:27: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:705:13: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGHF/TableProducer/candidateCreatorXicToXiPiPi.cxx:708:27: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
++ [[ 0 -gt 0 ]]
++ [[ 23 -gt 0 ]]
++ exit 1
--

Full log here.