<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by CompSci Transform (tm) - http://www.compsciresources.com -->
<!-- Created: Wed Apr 08 17:49:26 UTC 2026 -->
<xs:schema elementFormDefault="qualified" targetNamespace="http://www.soterahealth.com/20251231" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:us-types="http://xbrl.us/us-types/2009-01-31" xmlns:shc="http://www.soterahealth.com/20251231" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:dtr="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:xbrli="http://www.xbrl.org/2003/instance">
  <xs:annotation>
    <xs:appinfo>
      <link:linkbaseRef xlink:type="simple" xlink:href="shc-20251231_lab.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="shc-20251231_pre.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef"/>
      <link:linkbaseRef xlink:type="simple" xlink:href="shc-20251231_def.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef"/>
      <link:roleType roleURI="http://www.soterahealth.com/role/AdditionalDimensions" id="shc_r_AdditionalDimensions">
        <link:definition>999000 - Disclosure - Pay vs Performance Disclosure - Additional Dimensions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
      </link:roleType>
    </xs:appinfo>
  </xs:annotation>
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei-sub/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-sub-2025.xsd"/>
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>
  <xs:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedTerm1Maximum" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedTerm1Maximum"/>
  <xs:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedTerm1Minimum" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedTerm1Minimum"/>
  <xs:element name="AlexanderDimitriefMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_AlexanderDimitriefMember"/>
  <xs:element name="EquityAwardsAdjustmentsAdjustmentsForEquityAwardsFailedToMeetPerformanceConditionsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsAdjustmentsForEquityAwardsFailedToMeetPerformanceConditionsMember"/>
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfCurrentAwardsVestedDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfCurrentAwardsVestedDuringCurrentYearMember"/>
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfPriorYearAwardsVestedDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfPriorYearAwardsVestedDuringCurrentYearMember"/>
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfVestedAwardsDuringCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsChangeInFairValueAsOfVestingDateOfVestedAwardsDuringCurrentYearMember"/>
  <xs:element name="EquityAwardsAdjustmentsChangeInFairValueAsOfYearEndOfOutstandingAndUnvestedAwardsGrantedInPriorYearsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsChangeInFairValueAsOfYearEndOfOutstandingAndUnvestedAwardsGrantedInPriorYearsMember"/>
  <xs:element name="EquityAwardsAdjustmentsDividendsOrOtherEarningsPaidOnEquityAwardsNotOtherwiseReflectedInFairValueMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsDividendsOrOtherEarningsPaidOnEquityAwardsNotOtherwiseReflectedInFairValueMember"/>
  <xs:element name="EquityAwardsAdjustmentsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsMember"/>
  <xs:element name="EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember"/>
  <xs:element name="EquityAwardsValueInCompensationTableForTheApplicableYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_EquityAwardsValueInCompensationTableForTheApplicableYearMember"/>
  <xs:element name="FairValueOfStockAndOptionAwardsForfeitedDuringTheCoveredYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_FairValueOfStockAndOptionAwardsForfeitedDuringTheCoveredYearMember"/>
  <xs:element name="JonathanMLyonsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_JonathanMLyonsMember"/>
  <xs:element name="MichaelBPetrasJrMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_MichaelBPetrasJrMember"/>
  <xs:element name="MichaelPRutzMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_MichaelPRutzMember"/>
  <xs:element name="NetAdjustmentsForPensionMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_NetAdjustmentsForPensionMember"/>
  <xs:element name="PensionAdjustmentsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_PensionAdjustmentsMember"/>
  <xs:element name="PensionAdjustmentsPriorServiceCostMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_PensionAdjustmentsPriorServiceCostMember"/>
  <xs:element name="PensionAdjustmentsServiceCostMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_PensionAdjustmentsServiceCostMember"/>
  <xs:element name="PensionValueInCompensationTableForTheApplicableYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_PensionValueInCompensationTableForTheApplicableYearMember"/>
<!-- [WMV6][r4H5Fi337XAS6e3dJX6naZDCYI8FuF71LeN500bBq4/4IDZjdk8qc0DqFAT28LVo0ZZ/KTNUz0NxRPXM272SaRRkKTfn7tvui2vkMXBFM/3oU82wHk/EXUo4yqUyVCnkU4M/zne7e8O1nBJ2rWST9mHrEyScPuA3xu9Etx4zSIDa0qWjMS6MkNP+5kNEiycrPvOpsDVymEB4tUjfeW8eDf1aMriQLQe/+7g7Om+MGrsCfD3SuO+smlz4d0JuGy5ljVHFz4l+6UNG0z/2PN9lkavyOs5UTWFQKpTXgrJ1ezdYtTIyTFpmQ5UHP18HNSr1rebs] CSR-->
  <xs:element name="StockAwardsAndOptionAwardValuesReportedInSummaryCompensationTableForTheCoveredYearMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="shc_StockAwardsAndOptionAwardValuesReportedInSummaryCompensationTableForTheCoveredYearMember"/>
</xs:schema>
