Both　pump-driven　heat　pipe　loops　and　heat　pump　loops　can　operate　in　heat　transfer　environments　where　the　temperature　of　the　heat　source　is　higher　than　that　of　the　heat　sink.　To　investigate　the　fundamental　utilization　of　input　work　during　heat　transfer　processes　in　two　distinct　loops,　this　study　employed　the　theory　of　entransy　to　conduct　an　in-depth　analysis　of　the　heat　transfer　processes　in　pump-driven　heat　pipe　loops　and　heat　pump　loops.　The　research　initially　explored　these　loops＇　limiting　conditions　for　cyclic　heat　transfer.　Subsequently,　the　concept　of　antransy　was　introduced　to　elucidate　the　substantial　role　of　input　work　in　the　heat　transfer　processes.　By　the　antransy,　this　paper　further　analyzed　the　practical　utilization　degree　of　input　work,　providing　theoretical　insights　for　optimizing　heat　transfer　systems.　The　results　indicate　that　the　form　of　loops　and　the　heat　transfer　conditions　influence　the　magnitude　of　input　work.　Precisely,　the　input　work　in　the　loops　compensates　for　the　entransy　loss　that　occurs　when　the　working　fluid　exchanges　heat　with　the　environment.　More　input　work　does　not　necessarily　translate　into　more　substantial　heat　transfer.　Furthermore,　the　utilization　degree　of　input　work　in　different　loops　depends　on　factors　such　as　the　heat　transfer　environment,　the　amount　of　heat　transferred,　and　the　heat　capacity　of　the　working　fluid.　The　concept　of　antransy　effectively　assesses　the　efficient　utilization　of　input　work　in　these　loops.　By　analyzing　the　antransy　generated　in　the　system,　we　can　better　understand　how　efficiently　the　input　work　is　utilized　in　the　heat　transfer　process.　The　research　findings　have　enriched　the　field　of　entransy　theory,　providing　new　insights　and　perspectives　into　this　area　of　study.　Moreover,　the　results　can　promote　and　offer　fresh　ideas　for　optimizing　cyclic　heat　transfer　systems.