LoveThatJoker: <GrahamClayton> I checked with Stockfish if White has any winning chances after 62. Rxd3+ exd3, as per your question.The short of is that in some lines it does, but it seems with the most accurate defense that Black may be drawing.
Here it is (Moves in <> denote main line):
<62. Rxd3+ exd3 63. Qd1+>
(63. Qb1+ Kc3 64. Qc1+ Kb4 65. Qd2+ Kb3 66. Qd1+ Ka2 67. Qc1 Kb3 68. Qd1+ Ka2 69. Qc1 d2 70. Qc4+ Kb2 71. Qxd5 Kc2 72. Qa2+ White wins)
<63...Ka2 64. Qc1 Kb3 65. Qb1+ Kc3 66. Qc1+ Kb4 67. Qd2+ Kb3 68. Qd1+ Ka2
69. Qf3 Rd4 70. Qe3 Rb4 71. Qxd3 g5>
(71...Kb2 72. Qe2+ Kb3 73. Qf3+ Kb2 74. Qf6+ Kb3 75. Kf1 a2 76. Ke2 Rc4 77. Qb6+ Kc2 78. Qa5 Kb2 79. Kd3 a1=Q 80. Qxa1+ +6.46 at a depth of 31)
<72. Qc2+ Rb2 73. Qc4+ Rb3 74. Kf1 Kb2 75. Qd4+ Kb1 76. Qd1+ Kb2 77. Qd2+ Ka1>
[77...Kb1 78. Ke1 Rb2 (78...a2 79. Kd1 a1=N 80. Qxg5 White is winning) 79. Qd1+ Ka2 80. Qd5+ Kb1 81. Qf5+ Ka1 82. Kd1 Rb1+ 83. Kc2 Rb2+ 84. Kc3 a2 85. Qe5 g4 86. Kd3 g3 87. fxg3 Kb1 88. Qe1#]
<78. Qxg5 a2 79. Ke2 Kb1 80. Qf5+ Kb2 81. Qe5+ Kb1 82. Qe4+ Kb2 83. Qd4+ (+9.05 depth of 30) 83...Kb1 84. Qd1+ Kb2 85. Qd2+ Ka3 86. Qc1+ Rb2+>
[86...Ka4 87. Kd2 (87. g4 Rb1 88. Qc4+ Ka3 89. Qc3+ Possibly drawn) 87...Rb1 88. Qc4+ Ka3 89. Qa6+ Kb3 90. Qb7+ Ka3 91. Qf3+ Kb4 (91...Rb3 92. Qf8+ Rb4 93. Kc2 a1=N+ 94. Kc3 White wins) 92. Qe4+ Ka3 93. Qa8+ Kb2 94. Qb7+ Ka3 95. Qa6+ Kb3 96. Qb5+ Ka3 97. Qa5+ Kb3 98. Qc3+ Ka4 99. Qc4+ Ka3 100. Qa6+ (Possibly drawn)]
<87. Kd3 a1=Q 88. Qxa1+ Kb3 89. Qxb2+ White wins>
LTJ