It isn’t possible to use a different slider script. This the one that we use:

https://jqueryui.com/slider/

You would need to apply custom CSS to override the default appearance of our slider. This is the default CSS that we use:

.noUi-target, .noUi-target * {
  -webkit-touch-callout: none;
  -webkit-tap-highlight-color: transparent;
  -webkit-user-select: none;
  -ms-touch-action: none;
  touch-action: none;
  -ms-user-select: none;
  -moz-user-select: none;
  user-select: none;
  -moz-box-sizing: border-box;
  box-sizing: border-box; }

.noUi-target {
  position: relative;
  direction: ltr; }

.noUi-base, .noUi-connects {
  width: 100%;
  height: 100%;
  position: relative;
  z-index: 1; }

.noUi-connects {
  overflow: hidden;
  z-index: 0; }

.noUi-connect, .noUi-origin {
  will-change: transform;
  position: absolute;
  z-index: 1;
  top: 0;
  left: 0;
  height: 100%;
  width: 100%;
  -ms-transform-origin: 0 0;
  -webkit-transform-origin: 0 0;
  transform-origin: 0 0; }

html:not([dir=rtl]) .noUi-horizontal .noUi-origin {
  left: auto;
  right: 0; }

.noUi-vertical .noUi-origin {
  width: 0; }

.noUi-horizontal .noUi-origin {
  height: 0; }

.noUi-handle {
  position: absolute; }

.noUi-state-tap .noUi-connect, .noUi-state-tap .noUi-origin {
  -webkit-transition: transform .3s;
  transition: transform .3s; }

.noUi-state-drag * {
  cursor: inherit !important; }

.noUi-horizontal {
  height: 18px; }

.noUi-horizontal .noUi-handle {
  width: 34px;
  height: 28px;
  left: -17px;
  top: -6px; }

.noUi-vertical {
  width: 18px; }

.noUi-vertical .noUi-handle {
  width: 28px;
  height: 34px;
  left: -6px;
  top: -17px; }

html:not([dir=rtl]) .noUi-horizontal .noUi-handle {
  right: -17px;
  left: auto; }

.noUi-target {
  background: #FAFAFA;
  border-radius: 4px;
  border: 1px solid #D3D3D3;
  box-shadow: inset 0 1px 1px #F0F0F0,0 3px 6px -5px #BBB; }

.noUi-connects {
  border-radius: 3px; }

.noUi-connect {
  background: #3FB8AF; }

.noUi-draggable {
  cursor: ew-resize; }

.noUi-vertical .noUi-draggable {
  cursor: ns-resize; }

.noUi-handle {
  border: 1px solid #D9D9D9;
  border-radius: 3px;
  background: #FFF;
  cursor: default;
  box-shadow: inset 0 0 1px #FFF,inset 0 1px 7px #EBEBEB,0 3px 6px -3px #BBB; }

.noUi-active {
  box-shadow: inset 0 0 1px #FFF,inset 0 1px 7px #DDD,0 3px 6px -3px #BBB; }

.noUi-handle:after, .noUi-handle:before {
  content: "";
  display: block;
  position: absolute;
  height: 14px;
  width: 1px;
  background: #E8E7E6;
  left: 14px;
  top: 6px; }

.noUi-handle:after {
  left: 17px; }

.noUi-vertical .noUi-handle:after, .noUi-vertical .noUi-handle:before {
  width: 14px;
  height: 1px;
  left: 6px;
  top: 14px; }

.noUi-vertical .noUi-handle:after {
  top: 17px; }

[disabled] .noUi-connect {
  background: #B8B8B8; }

[disabled] .noUi-handle, [disabled].noUi-handle, [disabled].noUi-target {
  cursor: not-allowed; }

.noUi-pips, .noUi-pips * {
  -moz-box-sizing: border-box;
  box-sizing: border-box; }

.noUi-pips {
  position: absolute;
  color: #999; }

.noUi-value {
  position: absolute;
  white-space: nowrap;
  text-align: center; }

.noUi-value-sub {
  color: #ccc;
  font-size: 10px; }

.noUi-marker {
  position: absolute;
  background: #CCC; }

.noUi-marker-large, .noUi-marker-sub {
  background: #AAA; }

.noUi-pips-horizontal {
  padding: 10px 0;
  height: 80px;
  top: 100%;
  left: 0;
  width: 100%; }

.noUi-value-horizontal {
  -webkit-transform: translate(-50%, 50%);
  transform: translate(-50%, 50%); }

.noUi-rtl .noUi-value-horizontal {
  -webkit-transform: translate(50%, 50%);
  transform: translate(50%, 50%); }

.noUi-marker-horizontal.noUi-marker {
  margin-left: -1px;
  width: 2px;
  height: 5px; }

.noUi-marker-horizontal.noUi-marker-sub {
  height: 10px; }

.noUi-marker-horizontal.noUi-marker-large {
  height: 15px; }

.noUi-pips-vertical {
  padding: 0 10px;
  height: 100%;
  top: 0;
  left: 100%; }

.noUi-value-vertical {
  -webkit-transform: translate(0, -50%);
  transform: translate(0, -50%, 0);
  padding-left: 25px; }

.noUi-rtl .noUi-value-vertical {
  -webkit-transform: translate(0, 50%);
  transform: translate(0, 50%); }

.noUi-marker-vertical.noUi-marker {
  width: 5px;
  height: 2px;
  margin-top: -1px; }

.noUi-marker-vertical.noUi-marker-sub {
  width: 10px; }

.noUi-marker-vertical.noUi-marker-large {
  width: 15px; }

.noUi-tooltip {
  display: block;
  position: absolute;
  border: 1px solid #D9D9D9;
  border-radius: 3px;
  background: #fff;
  color: #000;
  padding: 5px;
  text-align: center;
  white-space: nowrap; }

.noUi-horizontal .noUi-tooltip {
  -webkit-transform: translate(-50%, 0);
  transform: translate(-50%, 0);
  left: 50%;
  bottom: 120%; }

.noUi-vertical .noUi-tooltip {
  -webkit-transform: translate(0, -50%);
  transform: translate(0, -50%);
  top: 50%;
  right: 120%; }

You can copy/use/modify parts of the above in your own custom CSS file/code block and precede with .searchandfilter to override. e.g.

.searchandfilter .noUi-tooltip {
  color: #fff;
}